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순위	주제	문제	형식화된 문제
74501	Solve the Differential Equation	x(dy)/(dx)-y=0	$x \frac{d y}{d x} - y = 0$
74502	Solve the Differential Equation	(dy)/(dt)-y^2t=t	$\frac{d y}{d t} - y^{2} t = t$
74503	Solve the Differential Equation	(dP)/(dx)=18x^5	$\frac{d P}{d x} = 18 x^{5}$
74504	Solve the Differential Equation	ydx+(2x+y)dy=0	$yd x + (2 x + y) d y = 0$
74505	Solve the Differential Equation	(dy)/(dx)=(x^3)/(y^2) , y(2)=3	$\frac{d y}{d x} = \frac{x^{3}}{y^{2}}$ , $y (2) = 3$
74506	Solve the Differential Equation	(dy)/(dx)=(xy+3y+2x+6)/(xy-2y-x+2)	$\frac{d y}{d x} = \frac{x y + 3 y + 2 x + 6}{x y - 2 y - x + 2}$
74507	Solve the Differential Equation	x(yd)x+xy^5dx+x^2y^3dy-x^2dy=0	$x yd x + x y^{5} d x + x^{2} y^{3} d y - x^{2} d y = 0$
74508	Solve the Differential Equation	2y''''=e^(x/2)+y	$2 y'' = e^{\frac{x}{2}} + y$
74509	Solve the Differential Equation	y''''''''+3y''''+2y=1/(1+e^x)	$y'''' + 3 y'' + 2 y = \frac{1}{1 + e^{x}}$
74510	Solve the Differential Equation	(dy)/(dx)=x(9-y)	$\frac{d y}{d x} = x (9 - y)$
74511	Solve the Differential Equation	(dy)/(dx)=12x^2-4x	$\frac{d y}{d x} = 12 x^{2} - 4 x$
74512	Solve the Differential Equation	(dy)/(dx)=-(e^x)/8	$\frac{d y}{d x} = - \frac{e^{x}}{8}$
74513	Solve the Differential Equation	x^2dy+y^2dx=xy(xdy-(yd)x)	$x^{2} d y + y^{2} d x = x y (x d y - yd x)$
74514	Solve the Differential Equation	cos(x)^2sin(x)(dy)/(dx)+(cos(x)^3)y=1	$\cos^{2} (x) \sin (x) \frac{d y}{d x} + (\cos^{3} (x)) y = 1$
74515	Solve the Differential Equation	(x^2y-x^2+y-1)dx+(xy+2x-3y-6)dy=0	$(x^{2} y - x^{2} + y - 1) d x + (x y + 2 x - 3 y - 6) d y = 0$
74516	Solve the Differential Equation	(dy)/(dx)=1/2y	$\frac{d y}{d x} = \frac{1}{2} y$
74517	Solve the Differential Equation	x(dy)/(dx)+y=1/(x^2)	$x \frac{d y}{d x} + y = \frac{1}{x^{2}}$
74518	Solve the Differential Equation	y''''''''+25y=6sin(x)	$y'''' + 25 y = 6 \sin (x)$
74519	Solve the Differential Equation	(x+ycos(x))dx+sin(xdy)=0	$(x + y \cos (x)) d x + \sin (x d y) = 0$
74520	Solve the Differential Equation	f(x)=x	$f (x) = x$
74521	Solve the Differential Equation	x(dy)/(dx)+2y=10x^2	$x \frac{d y}{d x} + 2 y = 10 x^{2}$
74522	Solve the Differential Equation	(y+1)dx-(x+1)dy=0	$(y + 1) d x - (x + 1) d y = 0$
74523	Solve the Differential Equation	(dy)/(dx)=(x+y+2)/(x+y-4)	$\frac{d y}{d x} = \frac{x + y + 2}{x + y - 4}$
74524	Solve the Differential Equation	(dy)/(dx)+8y=0	$\frac{d y}{d x} + 8 y = 0$
74525	Solve the Differential Equation	(dy)/(dx)=x/(6y)	$\frac{d y}{d x} = \frac{x}{6 y}$
74526	Solve the Differential Equation	(dy)/(dx)=e^(2x)+3y	$\frac{d y}{d x} = e^{2 x} + 3 y$
74527	Solve the Differential Equation	y''''=(x+2y)^(1/2)	$y'' = {(x + 2 y)}^{\frac{1}{2}}$
74528	Solve the Differential Equation	(dy)/(dx)=6cos(4x)	$\frac{d y}{d x} = 6 \cos (4 x)$
74529	Solve the Differential Equation	x(dy)/(dx)=3x+y	$x \frac{d y}{d x} = 3 x + y$
74530	Solve the Differential Equation	(dy)/(dx)+(2y)/x=x^2	$\frac{d y}{d x} + \frac{2 y}{x} = x^{2}$
74531	Solve the Differential Equation	(dA)/(dt)=-9A	$\frac{d A}{d t} = - 9 A$
74532	Solve the Differential Equation	xdy+(y-1)dx=0	$x d y + (y - 1) d x = 0$
74533	Solve the Differential Equation	(dy)/(dx)=2e^(-x)	$\frac{d y}{d x} = 2 e^{- x}$
74534	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=15	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 15$
74535	Solve the Differential Equation	f(x) = natural log of x^3+x^2+x	$f (x) = \ln (x^{3} + x^{2} + x)$
74536	Solve the Differential Equation	(xy^2+x)dx+(yx^2+y)dy=0	$(x y^{2} + x) d x + (y x^{2} + y) d y = 0$
74537	Solve the Differential Equation	yy''''=xe^(-y^2)	$y y'' = x e^{- y^{2}}$
74538	Solve the Differential Equation	(x^2+9)(dy)/(dx)+xy=0	$(x^{2} + 9) \frac{d y}{d x} + x y = 0$
74539	Solve the Differential Equation	(t+1)(dy)/(dt)+y = natural log of t	$(t + 1) \frac{d y}{d t} + y = \ln (t)$
74540	Solve the Differential Equation	2(dy)/(dx)-10xy-5x=0	$2 \frac{d y}{d x} - 10 x y - 5 x = 0$
74541	Solve the Differential Equation	(dy)/(dx)=1/(x( 2)) 의 자연로그	$\frac{d y}{d x} = \frac{1}{x (\ln (2))}$
74542	Solve the Differential Equation	(dt)/(du)=(tu+u+3t+3)/(tu+2u-t-2)	$\frac{d t}{d u} = \frac{t u + u + 3 t + 3}{t u + 2 u - t - 2}$
74543	Solve the Differential Equation	(dy)/(dx)=7xy^2	$\frac{d y}{d x} = 7 x y^{2}$
74544	Solve the Differential Equation	y''''=xe^(x^2)	$y'' = x e^{x^{2}}$
74545	Solve the Differential Equation	y''''''''-36y=sin(3x)	$y'''' - 36 y = \sin (3 x)$
74546	Solve the Differential Equation	(5xy+4y^2+1)dx+(x^2+2xy)dy=0	$(5 x y + 4 y^{2} + 1) d x + (x^{2} + 2 x y) d y = 0$
74547	Solve the Differential Equation	y''''=(xy)/2	$y'' = \frac{x y}{2}$
74548	Solve the Differential Equation	(x-y)^2(dy)/(dx)=4	${(x - y)}^{2} \frac{d y}{d x} = 4$
74549	Solve the Differential Equation	(dy)/(dx)=(2x+5y)/x	$\frac{d y}{d x} = \frac{2 x + 5 y}{x}$
74550	Solve the Differential Equation	(dN)/(dt)+N=Nte^t , N(0)=1	$\frac{d N}{d t} + N = N t e^{t}$ , $N (0) = 1$
74551	Solve the Differential Equation	(x+sin(y)-cos(y))dx+x(sin(y)+cos(y))dy=0	$(x + \sin (y) - \cos (y)) d x + x (\sin (y) + \cos (y)) d y = 0$
74552	Solve the Differential Equation	y''''''''''''-6y''''''''+11y''''-6y=2xe^(-x)	$y'''''' - 6 y'''' + 11 y'' - 6 y = 2 x e^{- x}$
74553	Solve the Differential Equation	x*(dy)/(dx)=4y	$x \cdot \frac{d y}{d x} = 4 y$
74554	Solve the Differential Equation	x(dy)/(dx)+(1+x)y=3	$x \frac{d y}{d x} + (1 + x) y = 3$
74555	Solve the Differential Equation	(dy)/(dx)=15e^(-3x)	$\frac{d y}{d x} = 15 e^{- 3 x}$
74556	Solve the Differential Equation	(dy)/(dx)=8e^(-5x)-x^2	$\frac{d y}{d x} = 8 e^{- 5 x} - x^{2}$
74557	Solve the Differential Equation	x^2y''''=x^2+y^2	$x^{2} y'' = x^{2} + y^{2}$
74558	Solve the Differential Equation	f(x)=x^4-2x+1	$f (x) = x^{4} - 2 x + 1$
74559	Solve the Differential Equation	(dy)/(dx)=5x^2-4x+1	$\frac{d y}{d x} = 5 x^{2} - 4 x + 1$
74560	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=7	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 7$
74561	Solve the Differential Equation	(2x+3y)dx+(3x+4y)dy=0	$(2 x + 3 y) d x + (3 x + 4 y) d y = 0$
74562	Solve the Differential Equation	(dy)/(dx)=1/10 제곱근 ycos( 제곱근 y)^2	$\frac{d y}{d x} = \frac{1}{10} \sqrt{y} \cos^{2} (\sqrt{y})$
74563	Solve the Differential Equation	v((dv)/(dx))=g	$v (\frac{d v}{d x}) = g$
74564	Solve the Differential Equation	y''''''''+2y''''-y=10	$y'''' + 2 y'' - y = 10$
74565	Solve the Differential Equation	y''''-5y''''+6y=xe^x	$y'' - 5 y'' + 6 y = x e^{x}$
74566	Solve the Differential Equation	(dy)/(dx)=sin(x)+xcos(x)	$\frac{d y}{d x} = \sin (x) + x \cos (x)$
74567	Solve the Differential Equation	x+1(dy)/(dx)=y+10	$x + 1 \frac{d y}{d x} = y + 10$
74568	Solve the Differential Equation	xy''''+y=3	$x y'' + y = 3$
74569	Solve the Differential Equation	2xy''''-y=x^3-x	$2 x y'' - y = x^{3} - x$
74570	Solve the Differential Equation	y''''=xe^(y-x^2)	$y'' = x e^{y - x^{2}}$
74571	Solve the Differential Equation	(dy)/(dx)-3y/(x^2)=0	$\frac{d y}{d x} - 3 \frac{y}{x^{2}} = 0$
74572	Solve the Differential Equation	(dy)/(dx)=(9x^2-6)/(x^2)	$\frac{d y}{d x} = \frac{9 x^{2} - 6}{x^{2}}$
74573	Solve the Differential Equation	(dy)/(dx)+7y+ x=0 의 자연로그	$\frac{d y}{d x} + 7 y + \ln (x) = 0$
74574	Solve the Differential Equation	(dy)/(dx)-4/xy=0	$\frac{d y}{d x} - \frac{4}{x} y = 0$
74575	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=4	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 4$
74576	Solve the Differential Equation	xy''''-y=y^3	$x y'' - y = y^{3}$
74577	Solve the Differential Equation	(dA)/(dt)=5A	$\frac{d A}{d t} = 5 A$
74578	Solve the Differential Equation	2x(yd)y=(x^2+3y^2)dx	$2 x yd y = (x^{2} + 3 y^{2}) d x$
74579	Solve the Differential Equation	(dx)/(dt)=3+5x	$\frac{d x}{d t} = 3 + 5 x$
74580	Solve the Differential Equation	(dy)/(dx)=2+y	$\frac{d y}{d x} = 2 + y$
74581	Solve the Differential Equation	(ds)/(dt)=12t(3t^2-1)^3 , s(1)=9	$\frac{d s}{d t} = 12 t {(3 t^{2} - 1)}^{3}$ , $s (1) = 9$
74582	Solve the Differential Equation	(dy)/(dx)=e^(2x-2y)	$\frac{d y}{d x} = e^{2 x - 2 y}$
74583	Solve the Differential Equation	(dy)/(dx)=6x^2-6x	$\frac{d y}{d x} = 6 x^{2} - 6 x$
74584	Solve the Differential Equation	(d^2y)/(dx^2)-2(dy)/(dx)+2y=0	$\frac{d^{2} y}{d x^{2}} - 2 \frac{d y}{d x} + 2 y = 0$
74585	Solve the Differential Equation	(dy)/(dx)=(3x+2y)/(3x+2y+2)	$\frac{d y}{d x} = \frac{3 x + 2 y}{3 x + 2 y + 2}$
74586	Solve the Differential Equation	x^2(dy)/(dx)=1-x^2+y^2-x^2y^2	$x^{2} \frac{d y}{d x} = 1 - x^{2} + y^{2} - x^{2} y^{2}$
74587	Solve the Differential Equation	y''''=(x-2)/(y-4)	$y'' = \frac{x - 2}{y - 4}$
74588	Solve the Differential Equation	(dy)/(dx)=y/x-csc(y/x)	$\frac{d y}{d x} = \frac{y}{x} - \csc (\frac{y}{x})$
74589	Solve the Differential Equation	(dy)/(dx)=x-y+1	$\frac{d y}{d x} = x - y + 1$
74590	Solve the Differential Equation	(dy)/(dx)=(4y^2)/( x) 의 제곱근	$\frac{d y}{d x} = \frac{4 y^{2}}{\sqrt{x}}$
74591	Solve the Differential Equation	3xvdv+(2v^2-1)dx=0	$3 x v d v + (2 v^{2} - 1) d x = 0$
74592	Solve the Differential Equation	(dy)/(dx)=(4x^2)/( 7+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{4 x^{2}}{\sqrt{7 + x^{3}}}$
74593	Solve the Differential Equation	(dy)/(dx)=y/(x^2+1)	$\frac{d y}{d x} = \frac{y}{x^{2} + 1}$
74594	Solve the Differential Equation	(x^3+3y)dx-xdy=0	$(x^{3} + 3 y) d x - x d y = 0$
74595	Solve the Differential Equation	y''''+xy=2x	$y'' + x y = 2 x$
74596	Solve the Differential Equation	(dy)/(dx)=4/(1+x^2) , y(1)=pi/2	$\frac{d y}{d x} = \frac{4}{1 + x^{2}}$ , $y (1) = \frac{π}{2}$
74597	Solve the Differential Equation	yy''''''''-1=y'''' 의 제곱근	$\sqrt{y y'''' - 1} = y''$
74598	Solve the Differential Equation	(dy)/(dx)=(3x+xy^2)/(2y+x^2y)	$\frac{d y}{d x} = \frac{3 x + x y^{2}}{2 y + x^{2} y}$
74599	Solve the Differential Equation	ydx-xdy=0	$yd x - x d y = 0$
74600	Solve the Differential Equation	y''''-3/xy=2x^2	$y'' - \frac{3}{x} y = 2 x^{2}$