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인기 문제

순위	주제	문제	형식화된 문제
74001	Solve the Differential Equation	x^4(d^3y)/(dx^3)+2x^3(d^2y)/(dx^2)-x^2(dy)/(dx)+xy=1	$x^{4} \frac{d^{3} y}{d x^{3}} + 2 x^{3} \frac{d^{2} y}{d x^{2}} - x^{2} \frac{d y}{d x} + x y = 1$
74002	Solve the Differential Equation	yy''''=9cos(x)	$y y'' = 9 \cos (x)$
74003	Solve the Differential Equation	(dy)/(dx)=sin(3x)y^2	$\frac{d y}{d x} = \sin (3 x) y^{2}$
74004	Solve the Differential Equation	6y''''=e^(x/6)+y	$6 y'' = e^{\frac{x}{6}} + y$
74005	Solve the Differential Equation	(dy)/(dx)=2x^3 , y(0)=6	$\frac{d y}{d x} = 2 x^{3}$ , $y (0) = 6$
74006	Solve the Differential Equation	(dy)/(dx)=(9x^2)/( 1+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{9 x^{2}}{\sqrt{1 + x^{3}}}$
74007	Solve the Differential Equation	y''''=1+x^2+y^2	$y'' = 1 + x^{2} + y^{2}$
74008	Solve the Differential Equation	y''''=(2xy-y^2)/(x^2)	$y'' = \frac{2 x y - y^{2}}{x^{2}}$
74009	Solve the Differential Equation	(dy)/(dx)=1/( 1-x^2) 의 제곱근	$\frac{d y}{d x} = \frac{1}{\sqrt{1 - x^{2}}}$
74010	Solve the Differential Equation	(dy)/(dx)=y^-2 x 의 자연로그	$\frac{d y}{d x} = y^{- 2} \ln (x)$
74011	Solve the Differential Equation	xe^ydy+((x^2+1)/y)dx=0	$x e^{y} d y + (\frac{x^{2} + 1}{y}) d x = 0$
74012	Solve the Differential Equation	9y(dy)/(dx)=8x^2	$9 y \frac{d y}{d x} = 8 x^{2}$
74013	Solve the Differential Equation	y''''+y^2=1	$y'' + y^{2} = 1$
74014	Solve the Differential Equation	(dy)/(dx)-4xy-12x=0	$\frac{d y}{d x} - 4 x y - 12 x = 0$
74015	Solve the Differential Equation	y/(x^2)(dy)/(dx)+e^(2x^3+y^2)=0	$\frac{y}{x^{2}} \cdot \frac{d y}{d x} + e^{2 x^{3} + y^{2}} = 0$
74016	Solve the Differential Equation	y''''=(15x)/y	$y'' = \frac{15 x}{y}$
74017	Solve the Differential Equation	(dy)/(dx)=2e^(-2x)	$\frac{d y}{d x} = 2 e^{- 2 x}$
74018	Solve the Differential Equation	(x+2y^3)(dy)/(dx)=y	$(x + 2 y^{3}) \frac{d y}{d x} = y$
74019	Solve the Differential Equation	y''''''''+y=cos(x)	$y'''' + y = \cos (x)$
74020	Solve the Differential Equation	y''''+y=cos(x)	$y'' + y = \cos (x)$
74021	Solve the Differential Equation	(3x^2+2y^2)dx+(4xy+6y^2)dy=0	$(3 x^{2} + 2 y^{2}) d x + (4 x y + 6 y^{2}) d y = 0$
74022	Solve the Differential Equation	(dy)/(dx)=(xy)/(x^2-1)	$\frac{d y}{d x} = \frac{x y}{x^{2} - 1}$
74023	Solve the Differential Equation	xy''''=y+3	$x y'' = y + 3$
74024	Solve the Differential Equation	9=(9dx(x-2xy))/(dy)	$9 = \frac{9 d x (x - 2 x y)}{d y}$
74025	Solve the Differential Equation	(dy)/(dx)+5y=15	$\frac{d y}{d x} + 5 y = 15$
74026	Solve the Differential Equation	(2xy+y^2)dx+(x^2+2xy-y)dy=0	$(2 x y + y^{2}) d x + (x^{2} + 2 x y - y) d y = 0$
74027	Solve the Differential Equation	x(dy)/(dx)+2y=x^2-x+1	$x \frac{d y}{d x} + 2 y = x^{2} - x + 1$
74028	Solve the Differential Equation	(dy)/(dx)=2xcos(y)^2	$\frac{d y}{d x} = 2 x \cos^{2} (y)$
74029	Solve the Differential Equation	(dy)/(dtheta)=1/(theta^2)-csc(theta)cot(theta)	$\frac{d y}{d θ} = \frac{1}{θ^{2}} - \csc (θ) \cot (θ)$
74030	Solve the Differential Equation	y''''=1+y	$y'' = 1 + y$
74031	Solve the Differential Equation	(dx)/(dt)=7/x	$\frac{d x}{d t} = \frac{7}{x}$
74032	Solve the Differential Equation	y''''+y=tan(x)	$y'' + y = \tan (x)$
74033	Solve the Differential Equation	ydx+3xdy=0	$yd x + 3 x d y = 0$
74034	Solve the Differential Equation	3(y^4+1)dx+4xy^3dy=0	$3 (y^{4} + 1) d x + 4 x y^{3} d y = 0$
74035	Solve the Differential Equation	2(yd)x-3xdy=0	$2 yd x - 3 x d y = 0$
74036	Solve the Differential Equation	(dx)/(dt)+3x=t	$\frac{d x}{d t} + 3 x = t$
74037	Solve the Differential Equation	(2x+y)dx+(x-4y)dy=0	$(2 x + y) d x + (x - 4 y) d y = 0$
74038	Solve the Differential Equation	x^2(dy)/(dx)+2xy = natural log of x	$x^{2} \frac{d y}{d x} + 2 x y = \ln (x)$
74039	Solve the Differential Equation	(du)/(dt)=4+4u+t+tu	$\frac{d u}{d t} = 4 + 4 u + t + t u$
74040	Solve the Differential Equation	(x^3+y^3)dx=xy^2dy	$(x^{3} + y^{3}) d x = x y^{2} d y$
74041	Solve the Differential Equation	(dy)/(dx)=(6y)/(x^2)	$\frac{d y}{d x} = \frac{6 y}{x^{2}}$
74042	Solve the Differential Equation	(dy)/(dx)=1/(2 x)+7 , y(4)=-5 의 제곱근	$\frac{d y}{d x} = \frac{1}{2 \sqrt{x}} + 7$ , $y (4) = - 5$
74043	Solve the Differential Equation	(dy)/(dx)+7xy=11x	$\frac{d y}{d x} + 7 x y = 11 x$
74044	Solve the Differential Equation	(dy)/(dx)-3xy=0	$\frac{d y}{d x} - 3 x y = 0$
74045	Solve the Differential Equation	(dy)/(dx)=(e^x-1)/(e^y)	$\frac{d y}{d x} = \frac{e^{x} - 1}{e^{y}}$
74046	Solve the Differential Equation	(du)/(dt)=5+5u+t+tu	$\frac{d u}{d t} = 5 + 5 u + t + t u$
74047	Solve the Differential Equation	(dY)/(dx)=12x^2+4x	$\frac{d Y}{d x} = 12 x^{2} + 4 x$
74048	Solve the Differential Equation	(dy)/(dx)=(x+2)^2	$\frac{d y}{d x} = {(x + 2)}^{2}$
74049	Solve the Differential Equation	y''''+3y=t+e^(-2t)	$y'' + 3 y = t + e^{- 2 t}$
74050	Solve the Differential Equation	(dy)/(dx)=(8x)/(3y^2)	$\frac{d y}{d x} = \frac{8 x}{3 y^{2}}$
74051	Solve the Differential Equation	(y^2+1)dx+x^2y^2dy=0	$(y^{2} + 1) d x + x^{2} y^{2} d y = 0$
74052	Solve the Differential Equation	x^2y''''''''+(y'''')^2=0	$x^{2} y'''' + {(y'')}^{2} = 0$
74053	Solve the Differential Equation	(dA)/(dt)=-2A	$\frac{d A}{d t} = - 2 A$
74054	Solve the Differential Equation	(2xy-9x^2)dx+(2y+x^2+1)dy=0	$(2 x y - 9 x^{2}) d x + (2 y + x^{2} + 1) d y = 0$
74055	Solve the Differential Equation	5y(dy)/(dx)=3x^2	$5 y \frac{d y}{d x} = 3 x^{2}$
74056	Solve the Differential Equation	(dy)/(dx)=-cos(x/2)	$\frac{d y}{d x} = - \cos (\frac{x}{2})$
74057	Solve the Differential Equation	(y-1)/(-y-1)(dy)/(dx)=1/(1+x^2)	$\frac{y - 1}{- y - 1} \cdot \frac{d y}{d x} = \frac{1}{1 + x^{2}}$
74058	Solve the Differential Equation	9y(dy)/(dx)=4x^2	$9 y \frac{d y}{d x} = 4 x^{2}$
74059	Solve the Differential Equation	(dy)/(dx)+3y=2xe^(-3x)	$\frac{d y}{d x} + 3 y = 2 x e^{- 3 x}$
74060	Solve the Differential Equation	y''''''''+4y=x^3	$y'''' + 4 y = x^{3}$
74061	Solve the Differential Equation	(dy)/(dx)=(x+2)/(y-2)	$\frac{d y}{d x} = \frac{x + 2}{y - 2}$
74062	Solve the Differential Equation	(dy)/(dx)=4x^(3/4)	$\frac{d y}{d x} = 4 x^{\frac{3}{4}}$
74063	Solve the Differential Equation	(dy)/(dx)=x(6-y)	$\frac{d y}{d x} = x (6 - y)$
74064	Solve the Differential Equation	(x^2-1)(dy)/(dx)=2xy	$(x^{2} - 1) \frac{d y}{d x} = 2 x y$
74065	Solve the Differential Equation	(dy)/(dx)=-1/2y	$\frac{d y}{d x} = - \frac{1}{2} y$
74066	Solve the Differential Equation	(7y-3)dx+(2x+1)dy=0	$(7 y - 3) d x + (2 x + 1) d y = 0$
74067	Solve the Differential Equation	1+xy=xy''''	$1 + x y = x y''$
74068	Solve the Differential Equation	x^2y''''-xy''''+2y=0	$x^{2} y'' - x y'' + 2 y = 0$
74069	Solve the Differential Equation	(dy)/(dx)=(e^x)/(4+e^x)	$\frac{d y}{d x} = \frac{e^{x}}{4 + e^{x}}$
74070	Solve the Differential Equation	y''''+4y-8x=0	$y'' + 4 y - 8 x = 0$
74071	Solve the Differential Equation	y'''' = natural log of x	$y'' = \ln (x)$
74072	Solve the Differential Equation	(dy)/(dx)+y^2(x^2+2x)=y	$\frac{d y}{d x} + y^{2} (x^{2} + 2 x) = y$
74073	Solve the Differential Equation	(dy)/(dx)=-5x^4e^(-x^5)	$\frac{d y}{d x} = - 5 x^{4} e^{- x^{5}}$
74074	Solve the Differential Equation	(dy)/(dx)=24x	$\frac{d y}{d x} = 24 x$
74075	Solve the Differential Equation	(dy)/(dx)=1/(x^3)+x	$\frac{d y}{d x} = \frac{1}{x^{3}} + x$
74076	Solve the Differential Equation	9cos(x)sec(ydx)=dy	$9 \cos (x) \sec (yd x) = d y$
74077	Solve the Differential Equation	xy''''+y=cos(x)	$x y'' + y = \cos (x)$
74078	Solve the Differential Equation	(dy)/(dx)=tan(x) , y(0)=1	$\frac{d y}{d x} = \tan (x)$ , $y (0) = 1$
74079	Solve the Differential Equation	dx+(x+y)/(x-y)dy=0	$d x + \frac{x + y}{x - y} d y = 0$
74080	Solve the Differential Equation	(dy)/(dt)=-ky	$\frac{d y}{d t} = - k y$
74081	Solve the Differential Equation	4y''''''''-y=xe^(x/2)	$4 y'''' - y = x e^{\frac{x}{2}}$
74082	Solve the Differential Equation	y''''+4y=8x	$y'' + 4 y = 8 x$
74083	Solve the Differential Equation	(dy)/(dt)=ycos(3t+2)	$\frac{d y}{d t} = y \cos (3 t + 2)$
74084	Solve the Differential Equation	(dy)/(dx)=x^2+2	$\frac{d y}{d x} = x^{2} + 2$
74085	Solve the Differential Equation	(2x+4y+6)dx+(4x-2y-5)dy=0	$(2 x + 4 y + 6) d x + (4 x - 2 y - 5) d y = 0$
74086	Solve the Differential Equation	(dy)/(dx)=18x	$\frac{d y}{d x} = 18 x$
74087	Solve the Differential Equation	x(y+2)dy=( x+1)dx 의 자연로그	$x (y + 2) d y = (\ln (x) + 1) d x$
74088	Solve the Differential Equation	x''''-10x=0	$x'' - 10 x = 0$
74089	Solve the Differential Equation	(dy)/(dx)=5x^3y	$\frac{d y}{d x} = 5 x^{3} y$
74090	Solve the Differential Equation	x^2dx+(xy-y)dy=0	$x^{2} d x + (x y - y) d y = 0$
74091	Solve the Differential Equation	ydx-xdy+2dx=0	$yd x - x d y + 2 d x = 0$
74092	Solve the Differential Equation	x(dy)/(dx)-2y=x^3e^(2x)	$x \frac{d y}{d x} - 2 y = x^{3} e^{2 x}$
74093	Solve the Differential Equation	2(x+y^2)dx+(y-x)dy=0	$2 (x + y^{2}) d x + (y - x) d y = 0$
74094	Solve the Differential Equation	2xyy''''=y^2-x^2	$2 x y y'' = y^{2} - x^{2}$
74095	Solve the Differential Equation	(dy)/(dt)-1=t	$\frac{d y}{d t} - 1 = t$
74096	Solve the Differential Equation	(dy)/(dx)=xcos(7x^2) , y(0)=11	$\frac{d y}{d x} = x \cos (7 x^{2})$ , $y (0) = 11$
74097	Solve the Differential Equation	(dy)/(dx)=x/(16y)	$\frac{d y}{d x} = \frac{x}{16 y}$
74098	Solve the Differential Equation	(dy)/(dx)=(4x^3+e^x)/(5y^4)	$\frac{d y}{d x} = \frac{4 x^{3} + e^{x}}{5 y^{4}}$
74099	Solve the Differential Equation	x((dy)/(dx))=x^2+y	$x (\frac{d y}{d x}) = x^{2} + y$
74100	Solve the Differential Equation	(ydx-xdy)/(x^2)=0	$\frac{yd x - x d y}{x^{2}} = 0$