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인기 문제

순위	주제	문제	형식화된 문제
79401	Solve the Differential Equation	(dx)/(dy)=2y+1	$\frac{d x}{d y} = 2 y + 1$
79402	Solve the Differential Equation	(xy^2+x)dx+yx^2dy=0	$(x y^{2} + x) d x + y x^{2} d y = 0$
79403	Solve the Differential Equation	(dy)/(dt)=(8ty)/(t^2+1)	$\frac{d y}{d t} = \frac{8 t y}{t^{2} + 1}$
79404	Solve the Differential Equation	(3x^2+y)dx+(x+4)dy=0	$(3 x^{2} + y) d x + (x + 4) d y = 0$
79405	Solve the Differential Equation	(dy)/(dx)=(2+y)^2	$\frac{d y}{d x} = {(2 + y)}^{2}$
79406	Solve the Differential Equation	e^y(dy)/(dx)=2x ?	$e^{y} \frac{d y}{d x} = 2 x$ ?
79407	Solve the Differential Equation	(dy)/(dx)=(x+2)^2e^y , y(1)=0	$\frac{d y}{d x} = {(x + 2)}^{2} e^{y}$ , $y (1) = 0$
79408	Solve the Differential Equation	2xy''''+y=10 x 의 제곱근	$2 x y'' + y = 10 \sqrt{x}$
79409	Solve the Differential Equation	(dy)/(dx)=-2	$\frac{d y}{d x} = - 2$
79410	Solve the Differential Equation	(dy)/(dx)=4x+7	$\frac{d y}{d x} = 4 x + 7$
79411	Solve the Differential Equation	(dy)/(dx)=(x^2+y^2)/(x*y)	$\frac{d y}{d x} = \frac{x^{2} + y^{2}}{x \cdot y}$
79412	Solve the Differential Equation	10xdy+5(yd)x+3(yd)y=0	$10 x d y + 5 yd x + 3 yd y = 0$
79413	Solve the Differential Equation	(dy)/(dx)=(y^2+1)/(x^2+1)	$\frac{d y}{d x} = \frac{y^{2} + 1}{x^{2} + 1}$
79414	Solve the Differential Equation	(dy)/(dx)=8yx^3	$\frac{d y}{d x} = 8 y x^{3}$
79415	Solve the Differential Equation	y''''(x)=y(x)	$y'' (x) = y (x)$
79416	Solve the Differential Equation	(dy)/(dx)=25e^x-x^2 , y(0)=19	$\frac{d y}{d x} = 25 e^{x} - x^{2}$ , $y (0) = 19$
79417	Solve the Differential Equation	(dp)/(dt)=t^2p-3p+t^2-3	$\frac{d p}{d t} = t^{2} p - 3 p + t^{2} - 3$
79418	Solve the Differential Equation	x(yd)x-(x+2y)dy=0	$x yd x - (x + 2 y) d y = 0$
79419	Solve the Differential Equation	f(x)=x^2+6	$f (x) = x^{2} + 6$
79420	Solve the Differential Equation	x^2(yd)y-(x+1)(y+1)dx=0	$x^{2} yd y - (x + 1) (y + 1) d x = 0$
79421	Solve the Differential Equation	(dy)/(dx)+7x=0	$\frac{d y}{d x} + 7 x = 0$
79422	Solve the Differential Equation	y^2(dy)/(dx)=x^-3 , y(2)=0	$y^{2} \frac{d y}{d x} = x^{- 3}$ , $y (2) = 0$
79423	Solve the Differential Equation	(dy)/(dx) = square root of 5x-3y+2	$\frac{d y}{d x} = \sqrt{5 x - 3 y + 2}$
79424	Solve the Differential Equation	y^2(2xdy-7(yd)x)+x^5(4(yd)x+3xdy)=0	$y^{2} (2 x d y - 7 yd x) + x^{5} (4 yd x + 3 x d y) = 0$
79425	Solve the Differential Equation	4y''''''''+9y=15	$4 y'''' + 9 y = 15$
79426	Solve the Differential Equation	(dy)/(dx)=(3y^2)/( x) 의 제곱근	$\frac{d y}{d x} = \frac{3 y^{2}}{\sqrt{x}}$
79427	Solve the Differential Equation	(2+x^2)y''''-2xy=0	$(2 + x^{2}) y'' - 2 x y = 0$
79428	Solve the Differential Equation	(x^2+1)(dy)/(dx)=xy , y(0)=1	$(x^{2} + 1) \frac{d y}{d x} = x y$ , $y (0) = 1$
79429	Solve the Differential Equation	(dv)/(dt)=8/(1+t^2)+sec(t)^2 , v(0)=2	$\frac{d v}{d t} = \frac{8}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 2$
79430	Solve the Differential Equation	(dy)/(dx)+(2x+1)/xy=e^(-2x)	$\frac{d y}{d x} + \frac{2 x + 1}{x} y = e^{- 2 x}$
79431	Solve the Differential Equation	(dy)/(dx)+x/(a^2)=y/(a^2)	$\frac{d y}{d x} + \frac{x}{a^{2}} = \frac{y}{a^{2}}$
79432	Solve the Differential Equation	5y''''=3-5ycot(x)	$5 y'' = 3 - 5 y \cot (x)$
79433	Solve the Differential Equation	(dy)/(dx)=x^3(y-1)	$\frac{d y}{d x} = x^{3} (y - 1)$
79434	Solve the Differential Equation	(d^2y)/(dx^2)+y=cos(x)	$\frac{d^{2} y}{d x^{2}} + y = \cos (x)$
79435	Solve the Differential Equation	y''''+2y=2x	$y'' + 2 y = 2 x$
79436	Solve the Differential Equation	y''''=e^(mx-ny)	$y'' = e^{m x - n y}$
79437	Solve the Differential Equation	(2x+e^y)dx+xe^ydy=0	$(2 x + e^{y}) d x + x e^{y} d y = 0$
79438	Solve the Differential Equation	(dA)/(dt)=0.07A , A(0)=100	$\frac{d A}{d t} = 0.07 A$ , $A (0) = 100$
79439	Solve the Differential Equation	y''''''''-9y''''=x^2-2	$y'''' - 9 y'' = x^{2} - 2$
79440	Solve the Differential Equation	35(dy)/(dt)=-56	$35 \frac{d y}{d t} = - 56$
79441	Solve the Differential Equation	(dy)/(dx)=4/(1+x^2)	$\frac{d y}{d x} = \frac{4}{1 + x^{2}}$
79442	Solve the Differential Equation	(dx)/(dt)=9e^t-5 ; , x(0)=2	$\frac{d x}{d t} = 9 e^{t} - 5$ ; , $x (0) = 2$
79443	Solve the Differential Equation	(dy)/(dx)=21/(x+7)y	$\frac{d y}{d x} = 2 \cdot \frac{1}{x + 7} \cdot y$
79444	Solve the Differential Equation	(dy)/(dx)=6x^2-4x+10	$\frac{d y}{d x} = 6 x^{2} - 4 x + 10$
79445	Solve the Differential Equation	(x+y)dx+(x-y-2)dy=0	$(x + y) d x + (x - y - 2) d y = 0$
79446	Solve the Differential Equation	(dy)/(dx)-4=8x^3-3x^2 , y(1)=5	$\frac{d y}{d x} - 4 = 8 x^{3} - 3 x^{2}$ , $y (1) = 5$
79447	Solve the Differential Equation	(dy)/(dx)=7x^6-4x^3+12 , y(1)=24	$\frac{d y}{d x} = 7 x^{6} - 4 x^{3} + 12$ , $y (1) = 24$
79448	Solve the Differential Equation	(3x^2+2y)dx+(2 3x+(3x)/y)dy=0 의 자연로그	$(3 x^{2} + 2 y) d x + (2 \ln (3 x) + \frac{3 x}{y}) d y = 0$
79449	Solve the Differential Equation	y''''=15x^2	$y'' = 15 x^{2}$
79450	Solve the Differential Equation	y''''=-( x)/(4y) 의 제곱근	$y'' = - \frac{\sqrt{x}}{4 y}$
79451	Solve the Differential Equation	(dy)/(dx)=2x^2y-8xy	$\frac{d y}{d x} = 2 x^{2} y - 8 x y$
79452	Solve the Differential Equation	(5+x^2)y''''-2xy=0	$(5 + x^{2}) y'' - 2 x y = 0$
79453	Solve the Differential Equation	(dy)/(dx)=6x^(4/9)	$\frac{d y}{d x} = 6 x^{\frac{4}{9}}$
79454	Solve the Differential Equation	(1+x)y''''+(1-x)y=0	$(1 + x) y'' + (1 - x) y = 0$
79455	Solve the Differential Equation	(dy)/(dx)=9x^2y-8xy	$\frac{d y}{d x} = 9 x^{2} y - 8 x y$
79456	Solve the Differential Equation	(3yx^2)dx+(-x^3-2y^4)dy=0	$(3 y x^{2}) d x + (- x^{3} - 2 y^{4}) d y = 0$
79457	Solve the Differential Equation	x^9+12y(dy)/(dx)=0	$x^{9} + 12 y \frac{d y}{d x} = 0$
79458	Solve the Differential Equation	(2x+Y)dx+(2Y+x)dy=0	$(2 x + Y) d x + (2 Y + x) d y = 0$
79459	Solve the Differential Equation	3/2(dv)/(dt)=13.6-1/2v	$\frac{3}{2} \cdot \frac{d v}{d t} = 13.6 - \frac{1}{2} v$
79460	Solve the Differential Equation	(dy)/(dx)=27-y	$\frac{d y}{d x} = 27 - y$
79461	Solve the Differential Equation	e^(2x)+5dy=e^(x+y)dx 의 제곱근	$\sqrt{e^{2 x} + 5} d y = e^{x + y} d x$
79462	Solve the Differential Equation	(dy)/(dx)=10x-9 and y(9)=0	$\frac{d y}{d x} = 10 x - 9$ and $y (9) = 0$
79463	Solve the Differential Equation	y''''''''-y''''+9y=3sin(3t)	$y'''' - y'' + 9 y = 3 \sin (3 t)$
79464	Solve the Differential Equation	(x^2+1)y''''+y^2+1=0	$(x^{2} + 1) y'' + y^{2} + 1 = 0$
79465	Solve the Differential Equation	y''''''''''''-y''''''''=x	$y'''''' - y'''' = x$
79466	Solve the Differential Equation	(dy)/(dt)=(2t^2)/(7y)	$\frac{d y}{d t} = \frac{2 t^{2}}{7 y}$
79467	Solve the Differential Equation	(dy)/(dx)=y(8x^2+2)	$\frac{d y}{d x} = y (8 x^{2} + 2)$
79468	Solve the Differential Equation	sec(xdx)^2-e^ycos(ydy)=0	$\sec^{2} (x d x) - e^{y} \cos (yd y) = 0$
79469	Solve the Differential Equation	(dy)/(dx)=8x-7	$\frac{d y}{d x} = 8 x - 7$
79470	Solve the Differential Equation	(dy)/(dx)=(e^x-y)/x	$\frac{d y}{d x} = \frac{e^{x} - y}{x}$
79471	Solve the Differential Equation	(dy)/(dx)+2/xy=5x^2	$\frac{d y}{d x} + \frac{2}{x} y = 5 x^{2}$
79472	Solve the Differential Equation	(13+x)(dy)/(dx)=2y	$(13 + x) \frac{d y}{d x} = 2 y$
79473	Solve the Differential Equation	(y+1)e^xdx-(e^x+1)dy=0	$(y + 1) e^{x} d x - (e^{x} + 1) d y = 0$
79474	Solve the Differential Equation	(dy)/(dx)=(2x^2)/( 9+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{2 x^{2}}{\sqrt{9 + x^{3}}}$
79475	Verify the Differential Equation Solution	(dP)/(dt) = square root of Pt , P(1)=2	$\frac{d P}{d t} = \sqrt{P t}$ , $P (1) = 2$
79476	Solve the Differential Equation	(dy)/(dt)=3ty-3	$\frac{d y}{d t} = 3 t y - 3$
79477	Solve the Differential Equation	xy''''+cos(y''''+y)=1	$x y'' + \cos (y'' + y) = 1$
79478	Solve the Differential Equation	(dy)/(dx)=(y^2)/(x^2+xy)	$\frac{d y}{d x} = \frac{y^{2}}{x^{2} + x y}$
79479	Solve the Differential Equation	yy''''=4x	$y y'' = 4 x$
79480	Solve the Differential Equation	(dx)/(dt)+(2x)/t=4	$\frac{d x}{d t} + \frac{2 x}{t} = 4$
79481	Solve the Differential Equation	F(z)=(A+Bz+Cz^2)/(z^2)	$F (z) = \frac{A + B z + C z^{2}}{z^{2}}$
79482	Solve the Differential Equation	(dy)/(dx)=(xe^(-y))/(1+x^2)	$\frac{d y}{d x} = \frac{x e^{- y}}{1 + x^{2}}$
79483	Solve the Differential Equation	(2 xy-y)dx-xdy=0 의 제곱근	$(2 \sqrt{x y} - y) d x - x d y = 0$
79484	Solve the Differential Equation	y''''''''+3y''''+2y = natural log of x	$y'''' + 3 y'' + 2 y = \ln (x)$
79485	Solve the Differential Equation	(dy)/(dx)=(y^2+1)/(xy+y)	$\frac{d y}{d x} = \frac{y^{2} + 1}{x y + y}$
79486	Solve the Differential Equation	(xy+x+2y+1)dx+(x+1)dy=0	$(x y + x + 2 y + 1) d x + (x + 1) d y = 0$
79487	Solve the Differential Equation	(y+1)dx-xdy=0	$(y + 1) d x - x d y = 0$
79488	Solve the Differential Equation	(dy)/(dt)=36t^5	$\frac{d y}{d t} = 36 t^{5}$
79489	Solve the Differential Equation	y''''=(3x^2-1)/(y+1)	$y'' = \frac{3 x^{2} - 1}{y + 1}$
79490	Solve the Differential Equation	(dy)/(dx)+4/xy=5x+7	$\frac{d y}{d x} + \frac{4}{x} y = 5 x + 7$
79491	Solve the Differential Equation	6x^2dx-2(yd)y=0	$6 x^{2} d x - 2 yd y = 0$
79492	Solve the Differential Equation	(dy)/(dx)=(3y^2+xy)/(x^2)	$\frac{d y}{d x} = \frac{3 y^{2} + x y}{x^{2}}$
79493	Solve the Differential Equation	x(dy)/(dx)+5y=3x	$x \frac{d y}{d x} + 5 y = 3 x$
79494	Solve the Differential Equation	(xy)/(x+1)=(dy)/(dx)	$\frac{x y}{x + 1} = \frac{d y}{d x}$
79495	Solve the Differential Equation	y''''-2y=t^2e^(2t)	$y'' - 2 y = t^{2} e^{2 t}$
79496	Solve the Differential Equation	(dy)/(dx)=(y^2+yx)/(x^2)	$\frac{d y}{d x} = \frac{y^{2} + y x}{x^{2}}$
79497	Solve the Differential Equation	(dy)/(dx)=1/((x+7)y^2)	$\frac{d y}{d x} = \frac{1}{(x + 7) y^{2}}$
79498	Solve the Differential Equation	(dx)/(dt)=9xt^5	$\frac{d x}{d t} = 9 x t^{5}$
79499	Solve the Differential Equation	(dy)/(dx)=(5x^2)/( 2+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{5 x^{2}}{\sqrt{2 + x^{3}}}$
79500	Solve the Differential Equation	xy''''=y''''	$x y'' = y''$