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인기 문제

순위	주제	문제	형식화된 문제
79601	Solve the Differential Equation	(d^2y)/(dt^2)+(dy)/(dt)-2y=e^t	$\frac{d^{2} y}{d t^{2}} + \frac{d y}{d t} - 2 y = e^{t}$
79602	Solve the Differential Equation	(dy)/(dx)+ytan(x)=0	$\frac{d y}{d x} + y \tan (x) = 0$
79603	Solve the Differential Equation	(dy)/(dx)+9xy=4x	$\frac{d y}{d x} + 9 x y = 4 x$
79604	Solve the Differential Equation	(d^3y)/(dx^3)+y(d^2y)/(dx^2)=0	$\frac{d^{3} y}{d x^{3}} + y \frac{d^{2} y}{d x^{2}} = 0$
79605	Solve the Differential Equation	y''''+y''''-6=0	$y'' + y'' - 6 = 0$
79606	Solve the Differential Equation	(dy)/(dx)=(2xy+y^2)/(x^2)	$\frac{d y}{d x} = \frac{2 x y + y^{2}}{x^{2}}$
79607	Solve the Differential Equation	f(x)=xe^x	$f (x) = x e^{x}$
79608	Solve the Differential Equation	(dy)/(dx)=yx^2+y	$\frac{d y}{d x} = y x^{2} + y$
79609	Solve the Differential Equation	y''''(x)+xy''''(x)=2	$y'' (x) + x y'' (x) = 2$
79610	Solve the Differential Equation	(dA)/(dt)=0.05A+3200	$\frac{d A}{d t} = 0.05 A + 3200$
79611	Solve the Differential Equation	(dy)/(dx)+3y=6x+11	$\frac{d y}{d x} + 3 y = 6 x + 11$
79612	Solve the Differential Equation	(dy)/(dx)=4x(x^2+8)^(-1/3) , y(0)=0	$\frac{d y}{d x} = 4 x {(x^{2} + 8)}^{- \frac{1}{3}}$ , $y (0) = 0$
79613	Solve the Differential Equation	(du)/(dr)=(6+ 제곱근 r)/(6+ 제곱근 u)	$\frac{d u}{d r} = \frac{6 + \sqrt{r}}{6 + \sqrt{u}}$
79614	Solve the Differential Equation	t^2(dy)/(dt)+y^2=ty	$t^{2} \cdot \frac{d y}{d t} + y^{2} = t \cdot y$
79615	Solve the Differential Equation	y''''-8y''''-(-1)y=4e^(2x)	$y'' - 8 y'' - (- 1) y = 4 e^{2 x}$
79616	Solve the Differential Equation	2y''''=y^3cos(x)	$2 y'' = y^{3} \cos (x)$
79617	Solve the Differential Equation	(dy)/(dx)=x^10y^10	$\frac{d y}{d x} = x^{10} y^{10}$
79618	Solve the Differential Equation	(dy)/(dx)=x-sin(x) , y(pi)=3	$\frac{d y}{d x} = x - \sin (x)$ , $y (π) = 3$
79619	Solve the Differential Equation	(dy)/(dx)+3x^2y^2=0	$\frac{d y}{d x} + 3 x^{2} y^{2} = 0$
79620	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=5	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 5$
79621	Solve the Differential Equation	2(y+3)dx-x(yd)y=0	$2 (y + 3) d x - x yd y = 0$
79622	Solve the Differential Equation	xe^(-y)dx+ycsc(xdy)=0	$x e^{- y} d x + y \csc (x d y) = 0$
79623	Solve the Differential Equation	Solve the differential equation of (2x^3-y^2-2y+3)dx+(x^2y+2x)dy=0	Solve the differential equation of $(2 x^{3} - y^{2} - 2 y + 3) d x + (x^{2} y + 2 x) d y = 0$
79624	Solve the Differential Equation	(dy)/(dx)-y/x=x^2*sin(x)	$\frac{d y}{d x} - \frac{y}{x} = x^{2} \cdot \sin (x)$
79625	Solve the Differential Equation	(df)/(dx)=4e^x+4x , f(0)=-10	$\frac{d f}{d x} = 4 e^{x} + 4 x$ , $f (0) = - 10$
79626	Solve the Differential Equation	(dy)/(dx)=(9+20x)/(xy^2)	$\frac{d y}{d x} = \frac{9 + 20 x}{x y^{2}}$
79627	Solve the Differential Equation	3(dy)/(dx)=(4x^3-1)y^4	$3 \frac{d y}{d x} = (4 x^{3} - 1) y^{4}$
79628	Solve the Differential Equation	(dy)/(dx)=(12x^2)/( 8+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{12 x^{2}}{\sqrt{8 + x^{3}}}$
79629	Solve the Differential Equation	(1-xy+x^2y^2)dx=x^2dy	$(1 - x y + x^{2} y^{2}) d x = x^{2} d y$
79630	Solve the Differential Equation	(dy)/(dx)=-2y^2	$\frac{d y}{d x} = - 2 y^{2}$
79631	Solve the Differential Equation	(dx)/(dt)=4e^t-6 ; , x(0)=2	$\frac{d x}{d t} = 4 e^{t} - 6$ ; , $x (0) = 2$
79632	Solve the Differential Equation	(x^2+1)dy=x(yd)x	$(x^{2} + 1) d y = x yd x$
79633	Solve the Differential Equation	(dy)/(dx)=-x^2+y , y(0)=0	$\frac{d y}{d x} = - x^{2} + y$ , $y (0) = 0$
79634	Solve the Differential Equation	(dy)/(dx)=-(4x)/(9y)	$\frac{d y}{d x} = - \frac{4 x}{9 y}$
79635	Solve the Differential Equation	(dy)/(dx)=e^(6x)	$\frac{d y}{d x} = e^{6 x}$
79636	Solve the Differential Equation	(ycos(x)+2xe^y)dx+(sin(x)+x^2e^y-1)dy=0	$(y \cos (x) + 2 x e^{y}) d x + (\sin (x) + x^{2} e^{y} - 1) d y = 0$
79637	Solve the Differential Equation	(y+xcot(y/x))dx-xdy=0	$(y + x \cot (\frac{y}{x})) d x - x d y = 0$
79638	Solve the Differential Equation	cos(y)(dy)/(dx)=sin(x)	$\cos (y) \frac{d y}{d x} = \sin (x)$
79639	Solve the Differential Equation	(d^5y(t))/(dt^5)+6(d^4y(t))/(dt^4)+4(d^3y(t))/(dt^3)+3(d^2y(t))/(dt^2)+5(dy)/(dx)+2y(t)=0	$\frac{d^{5} y (t)}{d t^{5}} + 6 \frac{d^{4} y (t)}{d t^{4}} + 4 \frac{d^{3} y (t)}{d t^{3}} + 3 \frac{d^{2} y (t)}{d t^{2}} + 5 \frac{d y}{d x} + 2 y (t) = 0$
79640	Solve the Differential Equation	x(dy)/(dx)+2y=4x^2 , y(1)=0	$x \frac{d y}{d x} + 2 y = 4 x^{2}$ , $y (1) = 0$
79641	Solve the Differential Equation	(dy)/(dx)+5xy=5x	$\frac{d y}{d x} + 5 x y = 5 x$
79642	Solve the Differential Equation	(4+e^(2x))y''''=ye^(2x)	$(4 + e^{2 x}) y'' = y e^{2 x}$
79643	Solve the Differential Equation	(dy)/(dx)=(3x^2-1)	$\frac{d y}{d x} = (3 x^{2} - 1)$
79644	Solve the Differential Equation	(dy)/(dx)+(xy)/(x^2-9)=0	$\frac{d y}{d x} + \frac{x y}{x^{2} - 9} = 0$
79645	Solve the Differential Equation	xdy=y( 자연로그 x- 자연로그 y)dx	$x d y = y (\ln (x) - \ln (y)) d x$
79646	Solve the Differential Equation	(dN)/(dt)=900+600 t 의 제곱근	$\frac{d N}{d t} = 900 + 600 \sqrt{t}$
79647	Solve the Differential Equation	(dy)/(dx)-y(6x-1)=0	$\frac{d y}{d x} - y (6 x - 1) = 0$
79648	Solve the Differential Equation	2xy^3dx+3x^2y^2dy=0	$2 x y^{3} d x + 3 x^{2} y^{2} d y = 0$
79649	Solve the Differential Equation	x(dy)/(dx)+3y=5x^2	$x \frac{d y}{d x} + 3 y = 5 x^{2}$
79650	Solve the Differential Equation	7+5y''''=0	$7 + 5 y'' = 0$
79651	Solve the Differential Equation	(dy)/(dt)=3e^(3t)sin(e^(3t)-64) , y( 4)=0 의 자연로그	$\frac{d y}{d t} = 3 e^{3 t} \sin (e^{3 t} - 64)$ , $y (\ln (4)) = 0$
79652	Solve the Differential Equation	(dy)/(dx)=18x^2-12x	$\frac{d y}{d x} = 18 x^{2} - 12 x$
79653	Solve the Differential Equation	(dy)/(dx)=2xe^(-x)	$\frac{d y}{d x} = 2 x e^{- x}$
79654	Solve the Differential Equation	xy''''-y=y^2sin(x)	$x y'' - y = y^{2} \sin (x)$
79655	Solve the Differential Equation	(x^2-y^2)dx-x(yd)y=0	$(x^{2} - y^{2}) d x - x yd y = 0$
79656	Solve the Differential Equation	x^2y''''+xy''''-y=1/(x+1)	$x^{2} y'' + x y'' - y = \frac{1}{x + 1}$
79657	Solve the Differential Equation	(dy)/(dx)-2x^2y^2=0	$\frac{d y}{d x} - 2 x^{2} y^{2} = 0$
79658	Solve the Differential Equation	y''''=(e^x+2)( \|y\|)^-1 의 자연로그	$y'' = (e^{x} + 2) \ln^{- 1} (\| y \|)$
79659	Solve the Differential Equation	x^2(dy)/(dx)+2xy-y^3=0	$x^{2} \frac{d y}{d x} + 2 x y - y^{3} = 0$
79660	Solve the Differential Equation	(dy)/(dx)=(T^5)/(y^4)	$\frac{d y}{d x} = \frac{T^{5}}{y^{4}}$
79661	Solve the Differential Equation	(dy)/(dx)=e^(2y)	$\frac{d y}{d x} = e^{2 y}$
79662	Solve the Differential Equation	(dy)/(dx)=sec(x+y)	$\frac{d y}{d x} = \sec (x + y)$
79663	Solve the Differential Equation	2(dy)/(dx)-x=10	$2 \frac{d y}{d x} - x = 10$
79664	Solve the Differential Equation	(dy)/(dx)=7x^2y-5xy	$\frac{d y}{d x} = 7 x^{2} y - 5 x y$
79665	Solve the Differential Equation	(dy)/(dx)=y^2e^(-2x)	$\frac{d y}{d x} = y^{2} e^{- 2 x}$
79666	Solve the Differential Equation	B(y)=cy^-4	$B (y) = c y^{- 4}$
79667	Solve the Differential Equation	f(x)=(x-1)/x	$f (x) = \frac{x - 1}{x}$
79668	Solve the Differential Equation	(dy)/(dx) = square root of 5x+1 , y(3)=-2	$\frac{d y}{d x} = \sqrt{5 x + 1}$ , $y (3) = - 2$
79669	Solve the Differential Equation	(dy)/(dx)=xy+3x-y-3	$\frac{d y}{d x} = x y + 3 x - y - 3$
79670	Solve the Differential Equation	x^5y''''=y''''''''''''+3x^2	$x^{5} y'' = y'''''' + 3 x^{2}$
79671	Solve the Differential Equation	(dx)/(dt)+3t^7x^9+x/t=0	$\frac{d x}{d t} + 3 t^{7} x^{9} + \frac{x}{t} = 0$
79672	Solve the Differential Equation	(x-y)dx+(y+x)dy=0	$(x - y) d x + (y + x) d y = 0$
79673	Solve the Differential Equation	(d^2y)/(dx^2)=(4.5)(sec(x)^2)(tan(x))	$\frac{d^{2} y}{d x^{2}} = (4.5) (\sec^{2} (x)) (\tan (x))$
79674	Solve the Differential Equation	7x-8y x^2+1(dy)/(dx)=0 의 제곱근	$7 x - 8 y \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
79675	Solve the Differential Equation	2y''''+3y=e^(-x)	$2 y'' + 3 y = e^{- x}$
79676	Solve the Differential Equation	(dy)/(dx)=(7x^6)/(3e^y)	$\frac{d y}{d x} = \frac{7 x^{6}}{3 e^{y}}$
79677	Solve the Differential Equation	x-y''''=xy	$x - y'' = x y$
79678	Solve the Differential Equation	(dy)/(dx)=((y-1)^2)/x	$\frac{d y}{d x} = \frac{{(y - 1)}^{2}}{x}$
79679	Solve the Differential Equation	y((dy)/(dx))=sin(x)	$y (\frac{d y}{d x}) = \sin (x)$
79680	Solve the Differential Equation	(dy)/(dx)=x 4-x^2 의 제곱근	$\frac{d y}{d x} = x \sqrt{4 - x^{2}}$
79681	Solve the Differential Equation	xy''''''''+y=0	$x y'''' + y = 0$
79682	Solve the Differential Equation	(dy)/(dx)=8x^(5/7)	$\frac{d y}{d x} = 8 x^{\frac{5}{7}}$
79683	Solve the Differential Equation	xy(dy)/(dx)+3=0 , f(2)=1	$x y \frac{d y}{d x} + 3 = 0$ , $f (2) = 1$
79684	Solve the Differential Equation	(dy)/(dx)=2/y	$\frac{d y}{d x} = \frac{2}{y}$
79685	Solve the Differential Equation	x 제곱근 1+y^2+yy'''' 제곱근 1+x^2=0	$x \sqrt{1 + y^{2}} + y y'' \sqrt{1 + x^{2}} = 0$
79686	Solve the Differential Equation	(dy)/(dx)=3x^(5/6)	$\frac{d y}{d x} = 3 x^{\frac{5}{6}}$
79687	Solve the Differential Equation	(dP)/(dt)=k*P	$\frac{d P}{d t} = k \cdot P$
79688	Solve the Differential Equation	(xcos(y/x)^2-y)dx+xdy=0	$(x \cos^{2} (\frac{y}{x}) - y) d x + x d y = 0$
79689	Solve the Differential Equation	y''''=3/x	$y'' = \frac{3}{x}$
79690	Solve the Differential Equation	(dy)/(dx)=kx	$\frac{d y}{d x} = k x$
79691	Solve the Differential Equation	t^-2y''''(t)=5	$t^{- 2} y'' (t) = 5$
79692	Solve the Differential Equation	y''''-1/xy=1/(x+1)	$y'' - \frac{1}{x} y = \frac{1}{x + 1}$
79693	Solve the Differential Equation	T(x)=(sin(x)+1)(sin(x)-2)	$T (x) = (\sin (x) + 1) (\sin (x) - 2)$
79694	Solve the Differential Equation	x(dy)/(dx)-4y=5x^4e^x	$x \frac{d y}{d x} - 4 y = 5 x^{4} e^{x}$
79695	Solve the Differential Equation	(dy)/(dx)=(5y+1)/(7x+1)	$\frac{d y}{d x} = \frac{5 y + 1}{7 x + 1}$
79696	Solve the Differential Equation	(ds)/(dt)=28(7t^2-5)^3 , s(1)=5	$\frac{d s}{d t} = 28 {(7 t^{2} - 5)}^{3}$ , $s (1) = 5$
79697	Solve the Differential Equation	(dy)/(dx)=-x/y , y(4)=3	$\frac{d y}{d x} = - \frac{x}{y}$ , $y (4) = 3$
79698	Solve the Differential Equation	y''''+4y=x	$y'' + 4 y = x$
79699	Solve the Differential Equation	(dy)/(dx)=4x-7 and y(3)=0	$\frac{d y}{d x} = 4 x - 7$ and $y (3) = 0$
79700	Solve the Differential Equation	(du)/(dt)=e^(5u+6t)	$\frac{d u}{d t} = e^{5 u + 6 t}$