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인기 문제

순위	주제	문제	형식화된 문제
75001	Solve the Differential Equation	y''''=(y^2-x^2)/(xy)	$y'' = \frac{y^{2} - x^{2}}{x y}$
75002	Solve the Differential Equation	x(dy)/(dx)+5y=( x)/x 의 자연로그	$x \frac{d y}{d x} + 5 y = \frac{\ln (x)}{x}$
75003	Solve the Differential Equation	y''''''''-6y''''+10y=0	$y'''' - 6 y'' + 10 y = 0$
75004	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=12	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 12$
75005	Solve the Differential Equation	(dy)/(dx)=(x^2y-4y)/(x+2)	$\frac{d y}{d x} = \frac{x^{2} y - 4 y}{x + 2}$
75006	Solve the Differential Equation	(dy)/(dx)=8x-3	$\frac{d y}{d x} = 8 x - 3$
75007	Verify the Differential Equation Solution	(d^2y)/(dx^2)+9y=0 , y=c_1sin(3x+c_2)	$\frac{d^{2} y}{d x^{2}} + 9 y = 0$ , $y = c_{1} \sin (3 x + c_{2})$
75008	Solve the Differential Equation	(dy)/(dx)=e^y*5^x	$\frac{d y}{d x} = e^{y} \cdot 5^{x}$
75009	Solve the Differential Equation	(dy)/(dt)=((e^t)/y)^2	$\frac{d y}{d t} = {(\frac{e^{t}}{y})}^{2}$
75010	Solve the Differential Equation	x(dy)/(dx)-2y=2	$x \frac{d y}{d x} - 2 y = 2$
75011	Solve the Differential Equation	(dy)/(dx)+2y=3x	$\frac{d y}{d x} + 2 y = 3 x$
75012	Solve the Differential Equation	(1+xy)(yd)x+(1-xy)xdy=0	$(1 + x y) yd x + (1 - x y) x d y = 0$
75013	Solve the Differential Equation	y''''=3y^2	$y'' = 3 y^{2}$
75014	Solve the Differential Equation	(dS)/(dR)=-0.00014S	$\frac{d S}{d R} = - 0.00014 S$
75015	Solve the Differential Equation	(4y+x^2y)dx+(y-1)dy=0	$(4 y + x^{2} y) d x + (y - 1) d y = 0$
75016	Solve the Differential Equation	y''''=e^(-y)(2x-4)	$y'' = e^{- y} (2 x - 4)$
75017	Solve the Differential Equation	(dy)/(dt)=(6t^2)/(7y)	$\frac{d y}{d t} = \frac{6 t^{2}}{7 y}$
75018	Solve the Differential Equation	(dy)/(dx)=(x^2-y^2)/(xy)	$\frac{d y}{d x} = \frac{x^{2} - y^{2}}{x y}$
75019	Solve the Differential Equation	(dy)/(dt)-y=1 , y(0)=0	$\frac{d y}{d t} - y = 1$ , $y (0) = 0$
75020	Solve the Differential Equation	y''''''''-8y=0	$y'''' - 8 y = 0$
75021	Solve the Differential Equation	(xy-2x+4y-8)dy=(xy+3x-y-3)dx	$(x y - 2 x + 4 y - 8) d y = (x y + 3 x - y - 3) d x$
75022	Solve the Differential Equation	(dy)/(dx)=(2xy+3y^2)/(x^2+2xy)	$\frac{d y}{d x} = \frac{2 x y + 3 y^{2}}{x^{2} + 2 x y}$
75023	Solve the Differential Equation	y''''=0.9y	$y'' = 0.9 y$
75024	Solve the Differential Equation	(dy)/(dx)=y/(x(y-3))	$\frac{d y}{d x} = \frac{y}{x (y - 3)}$
75025	Solve the Differential Equation	(d^2y)/(dx^2)+5(dy)/(dx)-14y=-xe^(4x)	$\frac{d^{2} y}{d x^{2}} + 5 \frac{d y}{d x} - 14 y = - x e^{4 x}$
75026	Solve the Differential Equation	(dy)/(dx)=e^x+3y	$\frac{d y}{d x} = e^{x} + 3 y$
75027	Solve the Differential Equation	sin(x)(dy)/(dx)=cos(x)	$\sin (x) \frac{d y}{d x} = \cos (x)$
75028	Solve the Differential Equation	y''''''''''''+2y''''''''-y''''-2y=0	$y'''''' + 2 y'''' - y'' - 2 y = 0$
75029	Solve the Differential Equation	y''''+y=sin(e^x)	$y'' + y = \sin (e^{x})$
75030	Solve the Differential Equation	f(x) = square root of x^2+2x^3	$f (x) = \sqrt{x^{2} + 2 x^{3}}$
75031	Solve the Differential Equation	(dy)/(dx)=(1-y)^2	$\frac{d y}{d x} = {(1 - y)}^{2}$
75032	Solve the Differential Equation	cos(x)*(dy)/(dx)+ysin(x)=1	$\cos (x) \cdot \frac{d y}{d x} + y \sin (x) = 1$
75033	Solve the Differential Equation	x(yd)x+(x^3-3y)dy=0	$x yd x + (x^{3} - 3 y) d y = 0$
75034	Solve the Differential Equation	(dy)/(dx)=(2x+sec(x)^2)/(2y)	$\frac{d y}{d x} = \frac{2 x + \sec^{2} (x)}{2 y}$
75035	Solve the Differential Equation	y''''''''-5y=0	$y'''' - 5 y = 0$
75036	Solve the Differential Equation	3x+y-2+y''''(x-1)=0	$3 x + y - 2 + y'' (x - 1) = 0$
75037	Solve the Differential Equation	y''''+(2y)/x=2x y 의 제곱근	$y'' + \frac{2 y}{x} = 2 x \sqrt{y}$
75038	Solve the Differential Equation	y''''=(x-y)/y	$y'' = \frac{x - y}{y}$
75039	Solve the Differential Equation	(dy)/(dx)=e^(xy)	$\frac{d y}{d x} = e^{x y}$
75040	Solve the Differential Equation	y''''=(x+y)/(2x)	$y'' = \frac{x + y}{2 x}$
75041	Solve the Differential Equation	(dy)/(dx)+2/xy=-2xy^2	$\frac{d y}{d x} + \frac{2}{x} y = - 2 x y^{2}$
75042	Solve the Differential Equation	f(theta)=(sin(theta))/(1+cos(theta))	$f (θ) = \frac{\sin (θ)}{1 + \cos (θ)}$
75043	Solve the Differential Equation	(dA)/(dt)=0.0365(5)	$\frac{d A}{d t} = 0.0365 (5)$
75044	Solve the Differential Equation	(dy)/(dx)=(1+x)(1+y^2)	$\frac{d y}{d x} = (1 + x) (1 + y^{2})$
75045	Solve the Differential Equation	(dy)/(dx)-2y=e^(2x)	$\frac{d y}{d x} - 2 y = e^{2 x}$
75046	Solve the Differential Equation	(dy)/(dx)=(2x)/(3y)	$\frac{d y}{d x} = \frac{2 x}{3 y}$
75047	Solve the Differential Equation	y''''=12x^2	$y'' = 12 x^{2}$
75048	Solve the Differential Equation	y''''''''-10y''''+26y=0	$y'''' - 10 y'' + 26 y = 0$
75049	Solve the Differential Equation	1-2x^2y''''=x 의 제곱근	$\sqrt{1 - 2 x^{2}} y'' = x$
75050	Solve the Differential Equation	xdy+2(yd)x=0	$x d y + 2 yd x = 0$
75051	Solve the Differential Equation	dy+2(yd)x=e^(-4x)dx	$d y + 2 yd x = e^{- 4 x} d x$
75052	Solve the Differential Equation	y(x+7)+(dy)/(dx)=0	$y (x + 7) + \frac{d y}{d x} = 0$
75053	Solve the Differential Equation	x^2(dy)/(dx)=y^2+xy+4x^2	$x^{2} \frac{d y}{d x} = y^{2} + x y + 4 x^{2}$
75054	Solve the Differential Equation	y''''''''+8y''''+25y=0	$y'''' + 8 y'' + 25 y = 0$
75055	Solve the Differential Equation	y''''+2xy=2xy^2	$y'' + 2 x y = 2 x y^{2}$
75056	Solve the Differential Equation	(dy)/(dx)=sin(5x+pi)	$\frac{d y}{d x} = \sin (5 x + π)$
75057	Solve the Differential Equation	(x^2y+x)dx+((x^3)/3+y^2-2)dy=0	$(x^{2} y + x) d x + (\frac{x^{3}}{3} + y^{2} - 2) d y = 0$
75058	Solve the Differential Equation	y ydx+xdy=0 의 자연로그	$y \ln (y) d x + x d y = 0$
75059	Solve the Differential Equation	y''''=8xy^2	$y'' = 8 x y^{2}$
75060	Solve the Differential Equation	(dy)/(dx)=3x^2-6x+1	$\frac{d y}{d x} = 3 x^{2} - 6 x + 1$
75061	Solve the Differential Equation	y''''=2y-4	$y'' = 2 y - 4$
75062	Solve the Differential Equation	(dy)/(dx)=y-15	$\frac{d y}{d x} = y - 15$
75063	Solve the Differential Equation	(1+x^2)(dy-dx)=2x(yd)x	$(1 + x^{2}) (d y - d x) = 2 x yd x$
75064	Solve the Differential Equation	(dy)/(dt)-2y=4-t	$\frac{d y}{d t} - 2 y = 4 - t$
75065	Solve the Differential Equation	(dy)/(dx)=5x^2y+y	$\frac{d y}{d x} = 5 x^{2} y + y$
75066	Solve the Differential Equation	(dy)/(dx)=ye^(-x^2)	$\frac{d y}{d x} = y e^{- x^{2}}$
75067	Solve the Differential Equation	(dy)/(dx)=(2x^2)/(3y^3)	$\frac{d y}{d x} = \frac{2 x^{2}}{3 y^{3}}$
75068	Solve the Differential Equation	(dy)/(dx)=6x^2-4x+1	$\frac{d y}{d x} = 6 x^{2} - 4 x + 1$
75069	Solve the Differential Equation	g''''(x)=(2x+5y)/x	$g'' (x) = \frac{2 x + 5 y}{x}$
75070	Solve the Differential Equation	(dy)/(dt)=y+3	$\frac{d y}{d t} = y + 3$
75071	Solve the Differential Equation	(dy)/(dt)=(te^t)/(y 6+y^2) 의 제곱근	$\frac{d y}{d t} = \frac{t e^{t}}{y \sqrt{6 + y^{2}}}$
75072	Solve the Differential Equation	(dy)/(dx)+4xy^2=0	$\frac{d y}{d x} + 4 x y^{2} = 0$
75073	Solve the Differential Equation	(dy)/(dx)=x/(25y)	$\frac{d y}{d x} = \frac{x}{25 y}$
75074	Solve the Differential Equation	(dy)/(dx)=4-9x^2-6x^5	$\frac{d y}{d x} = 4 - 9 x^{2} - 6 x^{5}$
75075	Solve the Differential Equation	y''''(x)+1/xy(x)=2	$y'' (x) + \frac{1}{x} y (x) = 2$
75076	Solve the Differential Equation	xdy-(yd)x+y^2dx=0	$x d y - yd x + y^{2} d x = 0$
75077	Solve the Differential Equation	(x^2+y^2)dx-2x(yd)y=0	$(x^{2} + y^{2}) d x - 2 x yd y = 0$
75078	Solve the Differential Equation	e^ydx+(xe^y-2y)dy=0	$e^{y} d x + (x e^{y} - 2 y) d y = 0$
75079	Solve the Differential Equation	x(dy)/(dx)=3y	$x \frac{d y}{d x} = 3 y$
75080	Solve the Differential Equation	2(24)(14)+2(7)(dy)/(dt)=0	$2 (24) (14) + 2 (7) \frac{d y}{d t} = 0$
75081	Solve the Differential Equation	(dy)/(dx)=4/(1-2x)	$\frac{d y}{d x} = \frac{4}{1 - 2 x}$
75082	Solve the Differential Equation	(dr)/(dtheta)=2pi	$\frac{d r}{d θ} = 2 π$
75083	Solve the Differential Equation	y''''=y^2+x	$y'' = y^{2} + x$
75084	Solve the Differential Equation	xy''''-2y=x^3e^x	$x y'' - 2 y = x^{3} e^{x}$
75085	Solve the Differential Equation	(dy)/(dx)=(20x)/(e^y)	$\frac{d y}{d x} = \frac{20 x}{e^{y}}$
75086	Solve the Differential Equation	dx+((2x)/y)dy=2x^2y^2dy	$d x + (\frac{2 x}{y}) d y = 2 x^{2} y^{2} d y$
75087	Solve the Differential Equation	(ds)/(dt)=8sin(t-pi/12)^2 , s(0)=9	$\frac{d s}{d t} = 8 \sin^{2} (t - \frac{π}{12})$ , $s (0) = 9$
75088	Solve the Differential Equation	(dy)/(dx)=2x-2	$\frac{d y}{d x} = 2 x - 2$
75089	Solve the Differential Equation	(ds)/(dt)=12t(3t^2-1)^3 , s(1)=12	$\frac{d s}{d t} = 12 t {(3 t^{2} - 1)}^{3}$ , $s (1) = 12$
75090	Solve the Differential Equation	ty''''''''-(t+1)y''''+y=t^2	$t y'''' - (t + 1) y'' + y = t^{2}$
75091	Solve the Differential Equation	x(dy)/(dx)+4xy-2x^2=0	$x \frac{d y}{d x} + 4 x y - 2 x^{2} = 0$
75092	Solve the Differential Equation	(dy)/(dx)=8x^3-9x^2+5x	$\frac{d y}{d x} = 8 x^{3} - 9 x^{2} + 5 x$
75093	Solve the Differential Equation	y''''''''-2y=0	$y'''' - 2 y = 0$
75094	Solve the Differential Equation	(dy)/(dx)=7x-y	$\frac{d y}{d x} = 7 x - y$
75095	Solve the Differential Equation	(dy)/(dx) = square root of 1+xy	$\frac{d y}{d x} = \sqrt{1 + x y}$
75096	Solve the Differential Equation	(dy)/(dt)=kt	$\frac{d y}{d t} = k t$
75097	Solve the Differential Equation	(dy)/(dx)=(x^2)/(2y)	$\frac{d y}{d x} = \frac{x^{2}}{2 y}$
75098	Solve the Differential Equation	y''''''''''''-y=x	$y'''''' - y = x$
75099	Solve the Differential Equation	(dy)/(dx)=2(1+y^2)x	$\frac{d y}{d x} = 2 (1 + y^{2}) x$
75100	Solve the Differential Equation	(dy)/(dx)=5x^4 y-1 의 제곱근	$\frac{d y}{d x} = 5 x^{4} \sqrt{y - 1}$