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인기 문제

순위	주제	문제	형식화된 문제
79801	Solve the Differential Equation	(dy)/(dx)=7y+3	$\frac{d y}{d x} = 7 y + 3$
79802	Solve the Differential Equation	(15xy^2-12y)dx+(10x^2y-6x)dy=0	$(15 x y^{2} - 12 y) d x + (10 x^{2} y - 6 x) d y = 0$
79803	Solve the Differential Equation	(dy)/(dx)=7x^-2+4x^-1-3 ; , y(1)=6	$\frac{d y}{d x} = 7 x^{- 2} + 4 x^{- 1} - 3$ ; , $y (1) = 6$
79804	Solve the Differential Equation	y''''=3cos(ty)	$y'' = 3 \cos (t y)$
79805	Solve the Differential Equation	(dy)/(dx)=1/(8y^7)	$\frac{d y}{d x} = \frac{1}{8 y^{7}}$
79806	Solve the Differential Equation	2y(dy)/(dt)-9x^2(dx)/(dt)=0	$2 y \frac{d y}{d t} - 9 x^{2} \frac{d x}{d t} = 0$
79807	Solve the Differential Equation	(dy)/(dx)=y(4x^2+5)	$\frac{d y}{d x} = y (4 x^{2} + 5)$
79808	Solve the Differential Equation	f(x)=4x^2+9	$f (x) = 4 x^{2} + 9$
79809	Solve the Differential Equation	(dy)/(dx)=x^2-2x+3 , y(1)=4	$\frac{d y}{d x} = x^{2} - 2 x + 3$ , $y (1) = 4$
79810	Solve the Differential Equation	(dy)/(dx)+(ax+b)y=0	$\frac{d y}{d x} + (a x + b) y = 0$
79811	Solve the Differential Equation	(dy)/(dx)=(4x^2)/( 2+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{4 x^{2}}{\sqrt{2 + x^{3}}}$
79812	Solve the Differential Equation	-y''''+y=x	$- y'' + y = x$
79813	Solve the Differential Equation	(dy)/(dx)-1/x=xcos(x)	$\frac{d y}{d x} - \frac{1}{x} = x \cos (x)$
79814	Solve the Differential Equation	(dy)/(dx)=6x^(5/8)	$\frac{d y}{d x} = 6 x^{\frac{5}{8}}$
79815	Solve the Differential Equation	(dP)/(dt)=k(25-t)	$\frac{d P}{d t} = k (25 - t)$
79816	Solve the Differential Equation	(x+9)y''''=6y	$(x + 9) y'' = 6 y$
79817	Solve the Differential Equation	(dx)/(dt)=4(x^2+1) ; given x(pi/4)=1	$\frac{d x}{d t} = 4 (x^{2} + 1)$ ; given $x (\frac{π}{4}) = 1$
79818	Solve the Differential Equation	xy^2y'''' = natural log of \|x\|	$x y^{2} y'' = \ln (\| x \|)$
79819	Solve the Differential Equation	(dy)/(dx)=4sin(x)+pi	$\frac{d y}{d x} = 4 \sin (x) + π$
79820	Solve the Differential Equation	y''''=8+2x-3x^2	$y'' = 8 + 2 x - 3 x^{2}$
79821	Solve the Differential Equation	y^2y''''=2x	$y^{2} y'' = 2 x$
79822	Solve the Differential Equation	(dy)/(dx)=-x/(8y)	$\frac{d y}{d x} = - \frac{x}{8 y}$
79823	Solve the Differential Equation	(dy)/(dx)=4x-3 and y(9)=0	$\frac{d y}{d x} = 4 x - 3$ and $y (9) = 0$
79824	Solve the Differential Equation	(dy)/(dx)=(10x^9)/(8y)	$\frac{d y}{d x} = \frac{10 x^{9}}{8 y}$
79825	Solve the Differential Equation	(dy)/(dx)=2x+3x^2	$\frac{d y}{d x} = 2 x + 3 x^{2}$
79826	Solve the Differential Equation	(ds)/(dt)=13t(2t^2-1)^3	$\frac{d s}{d t} = 13 t {(2 t^{2} - 1)}^{3}$
79827	Solve the Differential Equation	ydx-(x+6y^2)dy=0	$yd x - (x + 6 y^{2}) d y = 0$
79828	Solve the Differential Equation	y''''=xe^(x-y)	$y'' = x e^{x - y}$
79829	Solve the Differential Equation	B(y)=cy^-9	$B (y) = c y^{- 9}$
79830	Solve the Differential Equation	ydx-x( 자연로그 x+y^2 자연로그 y)dy=0	$yd x - x (\ln (x) + y^{2} \ln (y)) d y = 0$
79831	Solve the Differential Equation	(dy)/(dx) = square root of x^2+y	$\frac{d y}{d x} = \sqrt{x^{2} + y}$
79832	Solve the Differential Equation	2xdx-2(yd)y=x^2(yd)y-2xy^2dx	$2 x d x - 2 yd y = x^{2} yd y - 2 x y^{2} d x$
79833	Solve the Differential Equation	(dy)/(dx)=5x^5 y 의 제곱근	$\frac{d y}{d x} = 5 x^{5} \sqrt{y}$
79834	Solve the Differential Equation	(dr)/(ds)=0.35r	$\frac{d r}{d s} = 0.35 r$
79835	Solve the Differential Equation	2y''''-y''''-y=6e^(-x)	$2 y'' - y'' - y = 6 e^{- x}$
79836	Solve the Differential Equation	(dx)/(dt)=4-0.2x	$\frac{d x}{d t} = 4 - 0.2 x$
79837	Solve the Differential Equation	f(x)=2x^2+3/(4x)	$f (x) = 2 x^{2} + \frac{3}{4 x}$
79838	Solve the Differential Equation	(dy)/(dx)=(x^3)/(e^y)	$\frac{d y}{d x} = \frac{x^{3}}{e^{y}}$
79839	Solve the Differential Equation	(dy)/(dx)=(8x)/(3y^2)	$\frac{d y}{d x} = \frac{8 x}{3 y^{2}}$
79840	Solve the Differential Equation	(ds)/(dt)=10t+cos(t) , s(0)=5	$\frac{d s}{d t} = 10 t + \cos (t)$ , $s (0) = 5$
79841	Solve the Differential Equation	(dy)/(dx)+5e^(x+y)=0	$\frac{d y}{d x} + 5 e^{x + y} = 0$
79842	Solve the Differential Equation	2y''''-4y=2x	$2 y'' - 4 y = 2 x$
79843	Solve the Differential Equation	(dy)/(dx)=1+1/x , y(1)=4	$\frac{d y}{d x} = 1 + \frac{1}{x}$ , $y (1) = 4$
79844	Solve the Differential Equation	(x^2+1)(dy)/(dx)+3x(y-1)=0 , y(0)=6	$(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0$ , $y (0) = 6$
79845	Solve the Differential Equation	cos(x)y''''+sin(x)y=2cos(x)^3sin(x)-1	$\cos (x) y'' + \sin (x) y = 2 \cos^{3} (x) \sin (x) - 1$
79846	Solve the Differential Equation	dy+(ydx)/x=3x^2y^2dx	$d y + \frac{yd x}{x} = 3 x^{2} y^{2} d x$
79847	Solve the Differential Equation	(du)/(dx)=7x^6-3x^2+8	$\frac{d u}{d x} = 7 x^{6} - 3 x^{2} + 8$
79848	Solve the Differential Equation	y''''=x/(y+1)	$y'' = \frac{x}{y + 1}$
79849	Solve the Differential Equation	y''''=1-7x^2	$y'' = 1 - 7 x^{2}$
79850	Solve the Differential Equation	(dy)/(dx)+2xy=2e^(-x^2)	$\frac{d y}{d x} + 2 x y = 2 e^{- x^{2}}$
79851	Solve the Differential Equation	4y''''''''-4y''''-3y=cos(2x)	$4 y'''' - 4 y'' - 3 y = \cos (2 x)$
79852	Solve the Differential Equation	(dy)/(dx)=x^2*y	$\frac{d y}{d x} = x^{2} \cdot y$
79853	Solve the Differential Equation	sin(x)(dy)/(dx)+(cos(x))y=5sin(x^2)	$\sin (x) \frac{d y}{d x} + (\cos (x)) y = 5 \sin (x^{2})$
79854	Solve the Differential Equation	x^3dy-y(x^2+y^2)dx=0	$x^{3} d y - y (x^{2} + y^{2}) d x = 0$
79855	Solve the Differential Equation	xy''''-y=3x^4	$x y'' - y = 3 x^{4}$
79856	Solve the Differential Equation	(ds)/(dt)=-5t+cos(t) , s(0)=5	$\frac{d s}{d t} = - 5 t + \cos (t)$ , $s (0) = 5$
79857	Solve the Differential Equation	f(x)=3x^2	$f (x) = 3 x^{2}$
79858	Solve the Differential Equation	(dy)/(dx)=3/(3y)	$\frac{d y}{d x} = \frac{3}{3 y}$
79859	Solve the Differential Equation	x^2(dy)/(dx)=6x^4+5x+5	$x^{2} \frac{d y}{d x} = 6 x^{4} + 5 x + 5$
79860	Solve the Differential Equation	(dI)/(dt)+5I=10	$\frac{d I}{d t} + 5 I = 10$
79861	Solve the Differential Equation	y''''''''''''-5y''''''''+6y''''=6+2cos(x)	$y'''''' - 5 y'''' + 6 y'' = 6 + 2 \cos (x)$
79862	Solve the Differential Equation	(dy)/(dx)=3x^5 y 의 제곱근	$\frac{d y}{d x} = 3 x^{5} \sqrt{y}$
79863	Solve the Differential Equation	2y-x(dy)/(dx)=2x^3	$2 y - x \frac{d y}{d x} = 2 x^{3}$
79864	Solve the Differential Equation	(dy)/(dx)+5xy=8x	$\frac{d y}{d x} + 5 x y = 8 x$
79865	Solve the Differential Equation	(dy)/(dx)=5/((x+2)^2e^(y-1)) , y(3)=1	$\frac{d y}{d x} = \frac{5}{{(x + 2)}^{2} e^{y - 1}}$ , $y (3) = 1$
79866	Solve the Differential Equation	4xvdv+(3v^2-1)dx=0	$4 x v d v + (3 v^{2} - 1) d x = 0$
79867	Solve the Differential Equation	(dy)/(dx)=2x^(1/5)	$\frac{d y}{d x} = 2 x^{\frac{1}{5}}$
79868	Solve the Differential Equation	(dy)/(dx)-2xy+8x=0	$\frac{d y}{d x} - 2 x y + 8 x = 0$
79869	Solve the Differential Equation	(dy)/(dx)=5x^3 , y(0)=9	$\frac{d y}{d x} = 5 x^{3}$ , $y (0) = 9$
79870	Solve the Differential Equation	(dy)/(dx)=7x^6-sec(x)tan(x)	$\frac{d y}{d x} = 7 x^{6} - \sec (x) \tan (x)$
79871	Solve the Differential Equation	(dy)/(dx)=6x-3x^2	$\frac{d y}{d x} = 6 x - 3 x^{2}$
79872	Solve the Differential Equation	B(y)=cy^-3	$B (y) = c y^{- 3}$
79873	Solve the Differential Equation	(dy)/(dx)=(4y^2)/x	$\frac{d y}{d x} = \frac{4 y^{2}}{x}$
79874	Solve the Differential Equation	(x+y)dy-(yd)x=0	$(x + y) d y - yd x = 0$
79875	Solve the Differential Equation	y''''''''-2y''''+5y=e^xcos(2x)	$y'''' - 2 y'' + 5 y = e^{x} \cos (2 x)$
79876	Solve the Differential Equation	(dy)/(dx)=(2x+y)/x	$\frac{d y}{d x} = \frac{2 x + y}{x}$
79877	Solve the Differential Equation	f(x) = cube root of 5x-30	$f (x) = \sqrt[3]{5 x - 30}$
79878	Solve the Differential Equation	3x(d^2y)/(dx^2)-2(dy)/(dx)+5y=0	$3 x \frac{d^{2} y}{d x^{2}} - 2 \frac{d y}{d x} + 5 y = 0$
79879	Solve the Differential Equation	(2sin(y)+1)(dy)/(dx)=4	$(2 \sin (y) + 1) \frac{d y}{d x} = 4$
79880	Solve the Differential Equation	Solve (x+y)dy=(x-y)dx	Solve $(x + y) d y = (x - y) d x$
79881	Solve the Differential Equation	(dy)/(dx)=cos(x)y^2	$\frac{d y}{d x} = \cos (x) y^{2}$
79882	Solve the Differential Equation	y''''=y^2t^2-y^2	$y'' = y^{2} t^{2} - y^{2}$
79883	Solve the Differential Equation	(d^2s)/(dt^2)=sin(3t)+cos(3t)	$\frac{d^{2} s}{d t^{2}} = \sin (3 t) + \cos (3 t)$
79884	Solve the Differential Equation	f(x)=6x^2+8	$f (x) = 6 x^{2} + 8$
79885	Solve the Differential Equation	(df)/(dx)=55x 11x^2+4 , f(0)=11 의 제곱근	$\frac{d f}{d x} = 55 x \sqrt{11 x^{2} + 4}$ , $f (0) = 11$
79886	Solve the Differential Equation	(xcsc(y/x)-y)dx+xdy=0	$(x \csc (\frac{y}{x}) - y) d x + x d y = 0$
79887	Solve the Differential Equation	y''''+4y=e^(-4t)	$y'' + 4 y = e^{- 4 t}$
79888	Solve the Differential Equation	y''''-3y''''+2y=4e^x	$y'' - 3 y'' + 2 y = 4 e^{x}$
79889	Solve the Differential Equation	(df)/(dx)=(4x+xf^2)/(f-x^2f)	$\frac{d f}{d x} = \frac{4 x + x f^{2}}{f - x^{2} f}$
79890	Solve the Differential Equation	y''''=y-4y^2	$y'' = y - 4 y^{2}$
79891	Solve the Differential Equation	y''''+4/xy=6/(x^3)	$y'' + \frac{4}{x} y = \frac{6}{x^{3}}$
79892	Solve the Differential Equation	xdy=(x^5+3y)dx	$x d y = (x^{5} + 3 y) d x$
79893	Solve the Differential Equation	(dy)/(dx)=y^2-3y^2cos(x)	$\frac{d y}{d x} = y^{2} - 3 y^{2} \cos (x)$
79894	Solve the Differential Equation	(dy)/(dx)=xe^(x-y)	$\frac{d y}{d x} = x e^{x - y}$
79895	Solve the Differential Equation	x^8+10y(dy)/(dx)=0	$x^{8} + 10 y \frac{d y}{d x} = 0$
79896	Solve the Differential Equation	(dx)/(dt)=3	$\frac{d x}{d t} = 3$
79897	Solve the Differential Equation	(ds)/(dt)=8sin(t+pi/12)^2 , s(0)=7	$\frac{d s}{d t} = 8 \sin^{2} (t + \frac{π}{12})$ , $s (0) = 7$
79898	Solve the Differential Equation	(dx)/(dt)=4(x^2+1) ; , x(pi/4)=1	$\frac{d x}{d t} = 4 (x^{2} + 1)$ ; , $x (\frac{π}{4}) = 1$
79899	Solve the Differential Equation	(dy)/(dt)=ty	$\frac{d y}{d t} = t y$
79900	Solve the Differential Equation	(dy)/(dx)+3y=15	$\frac{d y}{d x} + 3 y = 15$