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인기 문제

순위	주제	문제	형식화된 문제
77001	Solve the Differential Equation	y''''''''''''=20x^4	$y'''''' = 20 x^{4}$
77002	Solve the Differential Equation	(dy)/(dx)=6x+5/x	$\frac{d y}{d x} = 6 x + \frac{5}{x}$
77003	Solve the Differential Equation	(dy)/(dx)=y-16	$\frac{d y}{d x} = y - 16$
77004	Solve the Differential Equation	(dy)/(dx)=2xy+4x^2	$\frac{d y}{d x} = 2 x y + 4 x^{2}$
77005	Solve the Differential Equation	(13+x^2)y''''-2xy=0	$(13 + x^{2}) y'' - 2 x y = 0$
77006	Solve the Differential Equation	y''''=2y/x	$y'' = 2 \frac{y}{x}$
77007	Solve the Differential Equation	f(x)=(2x+1)/(x-1)	$f (x) = \frac{2 x + 1}{x - 1}$
77008	Solve the Differential Equation	x(yd)x+(1+x^2)dy=0	$x yd x + (1 + x^{2}) d y = 0$
77009	Solve the Differential Equation	(ds)/(dt)=5t+cos(t) , s(0)=0	$\frac{d s}{d t} = 5 t + \cos (t)$ , $s (0) = 0$
77010	Solve the Differential Equation	(dy)/(dx)=ce^x	$\frac{d y}{d x} = c e^{x}$
77011	Solve the Differential Equation	(dy)/(dx)=6x^2-4x+23	$\frac{d y}{d x} = 6 x^{2} - 4 x + 23$
77012	Solve the Differential Equation	(dy)/(xdx)+y/(x^2)-(y^2)/(x^2)=0	$\frac{d y}{x d x} + \frac{y}{x^{2}} - \frac{y^{2}}{x^{2}} = 0$
77013	Solve the Differential Equation	(dy)/(dx)=7x^2y-3xy	$\frac{d y}{d x} = 7 x^{2} y - 3 x y$
77014	Solve the Differential Equation	x^2(d^2y)/(dx^2)-x(dy)/(dx)+2y=0	$x^{2} \frac{d^{2} y}{d x^{2}} - x \frac{d y}{d x} + 2 y = 0$
77015	Solve the Differential Equation	x^3+12y(dy)/(dx)=0	$x^{3} + 12 y \frac{d y}{d x} = 0$
77016	Solve the Differential Equation	xy''''+y=x^2+1	$x y'' + y = x^{2} + 1$
77017	Solve the Differential Equation	(dy)/(dt)=3e^(3t)sin(e^(3t)-27) , y( 3)=0 의 자연로그	$\frac{d y}{d t} = 3 e^{3 t} \sin (e^{3 t} - 27)$ , $y (\ln (3)) = 0$
77018	Solve the Differential Equation	y''''=2x(25-y)	$y'' = 2 x (25 - y)$
77019	Solve the Differential Equation	f(x)=\|x-6\|	$f (x) = \| x - 6 \|$
77020	Solve the Differential Equation	(dA)/(dt)=rA+p	$\frac{d A}{d t} = r A + p$
77021	Solve the Differential Equation	y(3x^3-x+y)dx+(x^2-x^3)dy=0	$y (3 x^{3} - x + y) d x + (x^{2} - x^{3}) d y = 0$
77022	Solve the Differential Equation	(ds)/(dt)=10t+cos(t) , s(0)=-3	$\frac{d s}{d t} = 10 t + \cos (t)$ , $s (0) = - 3$
77023	Solve the Differential Equation	x^3dx-y^3dy=3xy(ydx-xdy)	$x^{3} d x - y^{3} d y = 3 x y (yd x - x d y)$
77024	Solve the Differential Equation	(d^2y)/(dt^2)+9y=0	$\frac{d^{2} y}{d t^{2}} + 9 y = 0$
77025	Solve the Differential Equation	y''''+(cos(x))y=cos(x)	$y'' + (\cos (x)) y = \cos (x)$
77026	Solve the Differential Equation	(dy)/(dx)=9e^(x+7) , y(-7)=0	$\frac{d y}{d x} = 9 e^{x + 7}$ , $y (- 7) = 0$
77027	Solve the Differential Equation	(2xy^2-y)dx+xdy=0	$(2 x y^{2} - y) d x + x d y = 0$
77028	Solve the Differential Equation	y''''-y=-e^x	$y'' - y = - e^{x}$
77029	Solve the Differential Equation	(dy)/(dt)=t+2e^(t-3) ; and , y(3)=4	$\frac{d y}{d t} = t + 2 e^{t - 3}$ ; and , $y (3) = 4$
77030	Solve the Differential Equation	y''''+2x=0	$y'' + 2 x = 0$
77031	Solve the Differential Equation	(dy)/(dx)=1+x+xy+x	$\frac{d y}{d x} = 1 + x + x y + x$
77032	Solve the Differential Equation	(dy)/(dx)=sin(x-y+1)^2	$\frac{d y}{d x} = \sin^{2} (x - y + 1)$
77033	Solve the Differential Equation	(dy)/(dx)=(x^2+3y^2)/(2xy)	$\frac{d y}{d x} = \frac{(x^{2} + 3 y^{2})}{2 x y}$
77034	Solve the Differential Equation	(1+y^2)(e^(2x)dx-e^ydy)-(1+y)dy=0	$(1 + y^{2}) (e^{2 x} d x - e^{y} d y) - (1 + y) d y = 0$
77035	Solve the Differential Equation	1/x-tgy*(dy)/(dx)=0	$\frac{1}{x} - t g y \cdot \frac{d y}{d x} = 0$
77036	Solve the Differential Equation	(dy)/(dx)=6 y , y(1)=16 의 제곱근	$\frac{d y}{d x} = 6 \sqrt{y}$ , $y (1) = 16$
77037	Solve the Differential Equation	x^2(dy)/(dx)=9y	$x^{2} \frac{d y}{d x} = 9 y$
77038	Solve the Differential Equation	(dy)/(dx)=(2+x^2)(3+y^2)	$\frac{d y}{d x} = (2 + x^{2}) (3 + y^{2})$
77039	Solve the Differential Equation	y''''+k^2y=0	$y'' + k^{2} y = 0$
77040	Solve the Differential Equation	(dy)/(dx)=4x^3-3x^2-24x+8 ; cuando f(3)=-6	$\frac{d y}{d x} = 4 x^{3} - 3 x^{2} - 24 x + 8$ ; cuando $f (3) = - 6$
77041	Solve the Differential Equation	x(dy)/(dx)+3=4xe^(-y)	$x \frac{d y}{d x} + 3 = 4 x e^{- y}$
77042	Solve the Differential Equation	(dy)/(dx)=81t^8	$\frac{d y}{d x} = 81 t^{8}$
77043	Solve the Differential Equation	x^5+2y(dy)/(dx)=0	$x^{5} + 2 y \frac{d y}{d x} = 0$
77044	Solve the Differential Equation	(dy)/(dt)=3e^(3t)sin(e^(3t)-8) , y( 2)=0 의 자연로그	$\frac{d y}{d t} = 3 e^{3 t} \sin (e^{3 t} - 8)$ , $y (\ln (2)) = 0$
77045	Solve the Differential Equation	2yy''''(t)=15t^2	$2 y y'' (t) = 15 t^{2}$
77046	Solve the Differential Equation	(x-2y+5)dx+(2x-y+4)dy=0	$(x - 2 y + 5) d x + (2 x - y + 4) d y = 0$
77047	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(4x+2)	$x^{2} \frac{d w}{d x} = \sqrt{w} (4 x + 2)$
77048	Solve the Differential Equation	(dy)/(dx)+3x^2y=4x^2y^2	$\frac{d y}{d x} + 3 x^{2} y = 4 x^{2} y^{2}$
77049	Solve the Differential Equation	(dy)/(dx)=5x^2+4x	$\frac{d y}{d x} = 5 x^{2} + 4 x$
77050	Solve the Differential Equation	(x^4-x+y)dx-xdy=0	$(x^{4} - x + y) d x - x d y = 0$
77051	Solve the Differential Equation	(dy)/(dx)-y+y^2(x^2+x+1)=0	$\frac{d y}{d x} - y + y^{2} (x^{2} + x + 1) = 0$
77052	Solve the Differential Equation	3(dy)/(dx)+xy=-5	$3 \frac{d y}{d x} + x y = - 5$
77053	Solve the Differential Equation	(dE)/(dt)=30-10t , E(2)=72	$\frac{d E}{d t} = 30 - 10 t$ , $E (2) = 72$
77054	Solve the Differential Equation	(dy)/(dx)=(1-y)y	$\frac{d y}{d x} = (1 - y) y$
77055	Solve the Differential Equation	x(dy)/(dx)+y=x , y(1)=2	$x \frac{d y}{d x} + y = x$ , $y (1) = 2$
77056	Solve the Differential Equation	(dy)/(dx)=(10x^2)/( 7+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{10 x^{2}}{\sqrt{7 + x^{3}}}$
77057	Solve the Differential Equation	h(r)=(r^2+2r+2)/(5r+6)	$h (r) = \frac{r^{2} + 2 r + 2}{5 r + 6}$
77058	Solve the Differential Equation	f(x)=6x^2+cos(x)	$f (x) = 6 x^{2} + \cos (x)$
77059	Solve the Differential Equation	(dy)/(dx)=x^7y	$\frac{d y}{d x} = x^{7} y$
77060	Solve the Differential Equation	y''''=2/(x+2y)-3	$y'' = \frac{2}{x + 2 y} - 3$
77061	Solve the Differential Equation	y''''''''-4y''''+4y=5cos(t)	$y'''' - 4 y'' + 4 y = 5 \cos (t)$
77062	Solve the Differential Equation	xyy''''=1+y^2	$x y y'' = 1 + y^{2}$
77063	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(4x+1)	$x^{2} \frac{d w}{d x} = \sqrt{w} (4 x + 1)$
77064	Solve the Differential Equation	(dy)/(dx)=(8x^7)/(4e^y)	$\frac{d y}{d x} = \frac{8 x^{7}}{4 e^{y}}$
77065	Solve the Differential Equation	(dy)/(dx)=(1+y^2)x	$\frac{d y}{d x} = (1 + y^{2}) x$
77066	Solve the Differential Equation	y*y''''=x	$y \cdot y'' = x$
77067	Solve the Differential Equation	y-x=x(dy)/(dx)	$y - x = x \frac{d y}{d x}$
77068	Solve the Differential Equation	(dx)/(dy)+y=e^(3x)	$\frac{d x}{d y} + y = e^{3 x}$
77069	Solve the Differential Equation	xy''''+my=0	$x y'' + m y = 0$
77070	Solve the Differential Equation	(1-3x)(yd)x=3x^2e^(3x)dx-xdy	$(1 - 3 x) yd x = 3 x^{2} e^{3 x} d x - x d y$
77071	Solve the Differential Equation	xdy-y^2dx=0	$x d y - y^{2} d x = 0$
77072	Solve the Differential Equation	(dy)/(dx)-6x=-2xy	$\frac{d y}{d x} - 6 x = - 2 x y$
77073	Solve the Differential Equation	(dy)/(dt)=4e^(4t)sin(e^(4t)-81) , y( 3)=0 의 자연로그	$\frac{d y}{d t} = 4 e^{4 t} \sin (e^{4 t} - 81)$ , $y (\ln (3)) = 0$
77074	Solve the Differential Equation	y''''-y^2=0	$y'' - y^{2} = 0$
77075	Solve the Differential Equation	y 자연로그 ydx+(x- 자연로그 y)dy=0	$y \ln (yd x) + (x - \ln (y)) d y = 0$
77076	Solve the Differential Equation	f(x) = natural log of x^2-2x	$f (x) = \ln (x^{2} - 2 x)$
77077	Solve the Differential Equation	(dy)/(dx)+2xy=-2x^3	$\frac{d y}{d x} + 2 x y = - 2 x^{3}$
77078	Solve the Differential Equation	x^2y''''''''+4xy''''+2y=0	$x^{2} y'''' + 4 x y'' + 2 y = 0$
77079	Solve the Differential Equation	y''''-2y=4-t	$y'' - 2 y = 4 - t$
77080	Solve the Differential Equation	(dy)/(dx)+1/xy=sin(x)	$\frac{d y}{d x} + \frac{1}{x} y = \sin (x)$
77081	Solve the Differential Equation	x^4(dy)/(dx)+3x^3y=1	$x^{4} \frac{d y}{d x} + 3 x^{3} y = 1$
77082	Solve the Differential Equation	6y^2dx=x(2x^3+y)dy	$6 y^{2} d x = x (2 x^{3} + y) d y$
77083	Solve the Differential Equation	(dy)/(dt)=-5y	$\frac{d y}{d t} = - 5 y$
77084	Solve the Differential Equation	(dy)/(dx)=sin(x)-cos(x)	$\frac{d y}{d x} = \sin (x) - \cos (x)$
77085	Solve the Differential Equation	(xy+y 자연로그 y)dx+(xy+x 자연로그 x)dy=0	$(x y + y \ln (y)) d x + (x y + x \ln (x)) d y = 0$
77086	Solve the Differential Equation	(y^2+1)dx+x(yd)y=0	$(y^{2} + 1) d x + x yd y = 0$
77087	Solve the Differential Equation	(dy)/(dx)+y=x^3	$\frac{d y}{d x} + y = x^{3}$
77088	Solve the Differential Equation	(dx)/x-(dy)/y=0	$\frac{d x}{x} - \frac{d y}{y} = 0$
77089	Solve the Differential Equation	x^2y''''''''+2xy''''-6y=0	$x^{2} y'''' + 2 x y'' - 6 y = 0$
77090	Solve the Differential Equation	(dy)/(dx)=63x^8	$\frac{d y}{d x} = 63 x^{8}$
77091	Solve the Differential Equation	3y''''+y=0	$3 y'' + y = 0$
77092	Solve the Differential Equation	(dx)/(dt)=xt	$\frac{d x}{d t} = x t$
77093	Solve the Differential Equation	y''''''''-8y''''+16y=xe^(4x)	$y'''' - 8 y'' + 16 y = x e^{4 x}$
77094	Solve the Differential Equation	x(dy)/(dx)-4y+2x=0	$x \frac{d y}{d x} - 4 y + 2 x = 0$
77095	Solve the Differential Equation	x^2(dy)/(dx)+2x^3y=4x^3	$x^{2} \frac{d y}{d x} + 2 x^{3} y = 4 x^{3}$
77096	Solve the Differential Equation	(x+ xy)dy=ydx 의 제곱근	$(x + \sqrt{x y}) d y = yd x$
77097	Solve the Differential Equation	xy''''+3y=4x^2-3x	$x y'' + 3 y = 4 x^{2} - 3 x$
77098	Solve the Differential Equation	(dy)/(dx)=x/(9y)	$\frac{d y}{d x} = \frac{x}{9 y}$
77099	Solve the Differential Equation	y''''=-6y	$y'' = - 6 y$
77100	Solve the Differential Equation	(1+x^2)(dy)/(dx)+2xy=3 x 의 제곱근	$(1 + x^{2}) \frac{d y}{d x} + 2 x y = 3 \sqrt{x}$