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인기 문제

순위	주제	문제	형식화된 문제
78001	Solve the Differential Equation	(dy)/(dx)-y=y^3	$\frac{d y}{d x} - y = y^{3}$
78002	Solve the Differential Equation	(1+ 자연로그 x+y/x)dx-(1- 자연로그 x)dy=0	$(1 + \ln (x) + \frac{y}{x}) d x - (1 - \ln (x)) d y = 0$
78003	Solve the Differential Equation	(dy)/(dx)=yx(x+4)	$\frac{d y}{d x} = y x (x + 4)$
78004	Solve the Differential Equation	y''''=(x^2)/(2y)	$y'' = \frac{x^{2}}{2 y}$
78005	Solve the Differential Equation	(dy)/(dx)=y^2e^x	$\frac{d y}{d x} = y^{2} e^{x}$
78006	Solve the Differential Equation	(dy)/(dt)=k t 의 다섯제곱근	$\frac{d y}{d t} = k \sqrt[5]{t}$
78007	Solve the Differential Equation	(2xy)/(x^2+y)dx+ \|x^2+y\|dy=0 의 자연로그	$\frac{2 x y}{x^{2} + y} d x + \ln (\| x^{2} + y \| d y) = 0$
78008	Solve the Differential Equation	y''''-2xy^2=0	$y'' - 2 x y^{2} = 0$
78009	Solve the Differential Equation	(e^(2x)+5)dy+ye^(2x)dx=0	$(e^{2 x} + 5) d y + y e^{2 x} d x = 0$
78010	Solve the Differential Equation	(x-2)^2y''''''''+5(x-2)y''''+8y=0	${(x - 2)}^{2} y'''' + 5 (x - 2) y'' + 8 y = 0$
78011	Solve the Differential Equation	e^(2x)y''''=2(x+2)y^3	$e^{2 x} y'' = 2 (x + 2) y^{3}$
78012	Solve the Differential Equation	(dy)/(dx)=10x^2y+5x^2+6y+3	$\frac{d y}{d x} = 10 x^{2} y + 5 x^{2} + 6 y + 3$
78013	Solve the Differential Equation	dy+4x(yd)x=2xdx	$d y + 4 x yd x = 2 x d x$
78014	Solve the Differential Equation	3y-xy''''=0	$3 y - x y'' = 0$
78015	Solve the Differential Equation	y''''+2xy=x^2	$y'' + 2 x y = x^{2}$
78016	Solve the Differential Equation	(dy)/(dx)=y^(1/3)	$\frac{d y}{d x} = y^{\frac{1}{3}}$
78017	Solve the Differential Equation	(x^2+y^2)dx+3x(yd)y=0	$(x^{2} + y^{2}) d x + 3 x yd y = 0$
78018	Solve the Differential Equation	(x+1)(y+1)dy-xy^2dx=0	$(x + 1) (y + 1) d y - x y^{2} d x = 0$
78019	Solve the Differential Equation	y''''=1+x^2+y^2+x^2y^2	$y'' = 1 + x^{2} + y^{2} + x^{2} y^{2}$
78020	Solve the Differential Equation	1/4y''''+y''''+y=x^2-2x	$\frac{1}{4} y'' + y'' + y = x^{2} - 2 x$
78021	Solve the Differential Equation	2y''''+2y''''+y=0	$2 y'' + 2 y'' + y = 0$
78022	Solve the Differential Equation	(dy)/(dt)=3ty+4	$\frac{d y}{d t} = 3 t y + 4$
78023	Solve the Differential Equation	y''''=(x^2+y^2)/(xy)	$y'' = \frac{(x^{2} + y^{2})}{x y}$
78024	Solve the Differential Equation	xy+(2x^2+3y^2-20)(dy)/(dx)=0	$x y + (2 x^{2} + 3 y^{2} - 20) \frac{d y}{d x} = 0$
78025	Solve the Differential Equation	(x^2y^2+1)dx+2x^2dy=0	$(x^{2} y^{2} + 1) d x + 2 x^{2} d y = 0$
78026	Solve the Differential Equation	z(y)=A/(y^7)+Be^y	$z (y) = \frac{A}{y^{7}} + B e^{y}$
78027	Solve the Differential Equation	(dy)/(dx)=1+1/((x+y)^2)	$\frac{d y}{d x} = 1 + \frac{1}{{(x + y)}^{2}}$
78028	Solve the Differential Equation	(e^x+y^2)dx+(xy-(e^x)/y-2y^2)dy=0	$(e^{x} + y^{2}) d x + (x y - \frac{e^{x}}{y} - 2 y^{2}) d y = 0$
78029	Solve the Differential Equation	y^2dx=(xy-x^2)dy	$y^{2} d x = (x y - x^{2}) d y$
78030	Solve the Differential Equation	(dy)/(dx) for y=x^21	$\frac{d y}{d x}$ for $y = x^{21}$
78031	Solve the Differential Equation	y''''+y=x+1	$y'' + y = x + 1$
78032	Solve the Differential Equation	(dx)/(dy)+2xy=0	$\frac{d x}{d y} + 2 x y = 0$
78033	Solve the Differential Equation	4y''''''''-25y=0	$4 y'''' - 25 y = 0$
78034	Solve the Differential Equation	(dy)/(dx)-3y=e^(4x)	$\frac{d y}{d x} - 3 y = e^{4 x}$
78035	Solve the Differential Equation	(dy)/(dx)=2x-1/(x^2)	$\frac{d y}{d x} = 2 x - \frac{1}{x^{2}}$
78036	Solve the Differential Equation	(dy)/(dx)=9x^(2/9)	$\frac{d y}{d x} = 9 x^{\frac{2}{9}}$
78037	Solve the Differential Equation	x+y(dy)/(dx)=2	$x + y \frac{d y}{d x} = 2$
78038	Solve the Differential Equation	y''''=4e^(x+y)	$y'' = 4 e^{x + y}$
78039	Solve the Differential Equation	(dy)/(dx)=x^3+3x	$\frac{d y}{d x} = x^{3} + 3 x$
78040	Solve the Differential Equation	2(7)(0.4)+2(24)(dy)/(dt)=0	$2 (7) (0.4) + 2 (24) \frac{d y}{d t} = 0$
78041	Solve the Differential Equation	(x-34)(dy)/(dx)-y=(x-34)^3	$(x - 34) \frac{d y}{d x} - y = {(x - 34)}^{3}$
78042	Solve the Differential Equation	(x+y)dx=xdy	$(x + y) d x = x d y$
78043	Solve the Differential Equation	x(yd)x+x^2dy=0	$x yd x + x^{2} d y = 0$
78044	Verify the Differential Equation Solution	y=x^2+4x solve x(dy)/(dx)=x^2+y	$y = x^{2} + 4 x$ solve $x \frac{d y}{d x} = x^{2} + y$
78045	Solve the Differential Equation	x^2dx+yedy=0	$x^{2} d x + y e d y = 0$
78046	Solve the Differential Equation	y''''=18/x	$y'' = \frac{18}{x}$
78047	Solve the Differential Equation	(dx)/(dt)=7e^t-7 ; , x(0)=1	$\frac{d x}{d t} = 7 e^{t} - 7$ ; , $x (0) = 1$
78048	Solve the Differential Equation	y''''''''-2y''''+y=e^x Inx	$y'''' - 2 y'' + y = e^{x}$ Inx
78049	Solve the Differential Equation	(dy)/(dt)+4y=5	$\frac{d y}{d t} + 4 y = 5$
78050	Solve the Differential Equation	(dy)/(dx)=(6x^2)/(2y+sin(y))	$\frac{d y}{d x} = \frac{6 x^{2}}{2 y + \sin (y)}$
78051	Solve the Differential Equation	(1-x)dy+ydx=0	$(1 - x) d y + yd x = 0$
78052	Solve the Differential Equation	yy''''-2y^2=e^x	$y y'' - 2 y^{2} = e^{x}$
78053	Solve the Differential Equation	14yy''''-5e^x=0	$14 y y'' - 5 e^{x} = 0$
78054	Solve the Differential Equation	y(dy)/(dx)+x^2y=sin(x)	$y \frac{d y}{d x} + x^{2} y = \sin (x)$
78055	Solve the Differential Equation	(dy)/(dx)+4x^3y=x^3	$\frac{d y}{d x} + 4 x^{3} y = x^{3}$
78056	Solve the Differential Equation	y''''''''-12y''''+2y=0	$y'''' - 12 y'' + 2 y = 0$
78057	Solve the Differential Equation	x^2+14y(dy)/(dx)=0	$x^{2} + 14 y \frac{d y}{d x} = 0$
78058	Solve the Differential Equation	f(x)=3x^2+1	$f (x) = 3 x^{2} + 1$
78059	Solve the Differential Equation	xy''''=7y	$x y'' = 7 y$
78060	Solve the Differential Equation	8y^2dx-(2x^3+xy)dy=0	$8 y^{2} d x - (2 x^{3} + x y) d y = 0$
78061	Solve the Differential Equation	y''''=4(y^2+1)	$y'' = 4 (y^{2} + 1)$
78062	Solve the Differential Equation	y''''''''(x)-yx=xsin(x)	$y'''' (x) - y x = x \sin (x)$
78063	Solve the Differential Equation	(dy)/(dx)=y(8x^2+4)	$\frac{d y}{d x} = y (8 x^{2} + 4)$
78064	Solve the Differential Equation	(dy)/(dx)=y^2-x^2	$\frac{d y}{d x} = y^{2} - x^{2}$
78065	Solve the Differential Equation	1/y(dy)/(dt)=21/t	$\frac{1}{y} \cdot \frac{d y}{d t} = 2 \cdot \frac{1}{t}$
78066	Solve the Differential Equation	(dy)/(dx)=-0.2y , y(0)=60	$\frac{d y}{d x} = - 0.2 y$ , $y (0) = 60$
78067	Solve the Differential Equation	(dv)/(dt)+3v=0	$\frac{d v}{d t} + 3 v = 0$
78068	Solve the Differential Equation	(dy)/(dx)=((2+y)^2)/(2x-1)	$\frac{d y}{d x} = \frac{{(2 + y)}^{2}}{2 x - 1}$
78069	Solve the Differential Equation	(dy)/(dx)-y/x=x , y(1)=1	$\frac{d y}{d x} - \frac{y}{x} = x$ , $y (1) = 1$
78070	Solve the Differential Equation	y''''-1/xy=x	$y'' - \frac{1}{x} y = x$
78071	Solve the Differential Equation	(dy)/(dx)=e^(-0.01xy^2)	$\frac{d y}{d x} = e^{- 0.01 x y^{2}}$
78072	Solve the Differential Equation	(dy)/(dx)=x^2(2y-1)^2	$\frac{d y}{d x} = x^{2} {(2 y - 1)}^{2}$
78073	Solve the Differential Equation	x^2y''''''''-4xy''''+6y=0	$x^{2} y'''' - 4 x y'' + 6 y = 0$
78074	Solve the Differential Equation	(dy)/(dx)+7y=11x	$\frac{d y}{d x} + 7 y = 11 x$
78075	Solve the Differential Equation	(dy)/(dx)=e^(-y)(2x-4) , y(5)=0	$\frac{d y}{d x} = e^{- y} (2 x - 4)$ , $y (5) = 0$
78076	Solve the Differential Equation	y''''=3y+x^2+5	$y'' = 3 y + x^{2} + 5$
78077	Solve the Differential Equation	f(x) = natural log of 12x	$f (x) = \ln (12 x)$
78078	Solve the Differential Equation	(dy)/(dx)=x^4(x^5-5)^2 , y(1)=5	$\frac{d y}{d x} = x^{4} {(x^{5} - 5)}^{2}$ , $y (1) = 5$
78079	Solve the Differential Equation	(1+2x^2)yy''''=2x(1+y^2)	$(1 + 2 x^{2}) y y'' = 2 x (1 + y^{2})$
78080	Solve the Differential Equation	(dy)/(dx)=1/(12y^2+2)	$\frac{d y}{d x} = \frac{1}{12 y^{2} + 2}$
78081	Solve the Differential Equation	t/5(dy)/(dt)=(y-3)	$\frac{t}{5} \cdot \frac{d y}{d t} = (y - 3)$
78082	Solve the Differential Equation	(dy)/(dx)=(y+ x^2+y^2)/x 의 제곱근	$\frac{d y}{d x} = \frac{y + \sqrt{x^{2} + y^{2}}}{x}$
78083	Solve the Differential Equation	(dy)/(dx)=8-2x	$\frac{d y}{d x} = 8 - 2 x$
78084	Solve the Differential Equation	(dv)/(dt)=6/(1+t^2)+sec(t)^2 , v(0)=4	$\frac{d v}{d t} = \frac{6}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 4$
78085	Solve the Differential Equation	(dy)/(dx)=(xy+x)/(x^2y+y)	$\frac{d y}{d x} = \frac{x y + x}{x^{2} y + y}$
78086	Solve the Differential Equation	(2+yx^-2)dx+(y-x^-1)dy=0	$(2 + y x^{- 2}) d x + (y - x^{- 1}) d y = 0$
78087	Solve the Differential Equation	(dx)/(dt)=(4t^2+3x^2)/(2tx)	$\frac{d x}{d t} = \frac{4 t^{2} + 3 x^{2}}{2 t x}$
78088	Solve the Differential Equation	(dy)/(dx)=(7x+1)/(y-5)	$\frac{d y}{d x} = \frac{7 x + 1}{y - 5}$
78089	Solve the Differential Equation	(dy)/(dx)=6x^(3/4)	$\frac{d y}{d x} = 6 x^{\frac{3}{4}}$
78090	Solve the Differential Equation	xdy=(2y-x^3y^2)dx	$x d y = (2 y - x^{3} y^{2}) d x$
78091	Solve the Differential Equation	(dy)/(dx)-x^2=-3x^2y	$\frac{d y}{d x} - x^{2} = - 3 x^{2} y$
78092	Solve the Differential Equation	(dy)/(dx)+y=e^(4x)	$\frac{d y}{d x} + y = e^{4 x}$
78093	Solve the Differential Equation	(dy)/(dx)=x^2 x-5 의 제곱근	$\frac{d y}{d x} = x^{2} \sqrt{x - 5}$
78094	Solve the Differential Equation	(x^2)/(y^2-2)(dy)/(dx)=1/(2y)	$\frac{x^{2}}{y^{2} - 2} \cdot \frac{d y}{d x} = \frac{1}{2 y}$
78095	Solve the Differential Equation	s(t)=-16t^2+48t+160	$s (t) = - 16 t^{2} + 48 t + 160$
78096	Solve the Differential Equation	y''''''''-y''''-12y=e^(4x)	$y'''' - y'' - 12 y = e^{4 x}$
78097	Solve the Differential Equation	x^2y''''''''+xy''''+(x^2-1/4)y=0	$x^{2} y'''' + x y'' + (x^{2} - \frac{1}{4}) y = 0$
78098	Solve the Differential Equation	(dy)/(dx)=8x^2+5	$\frac{d y}{d x} = 8 x^{2} + 5$
78099	Solve the Differential Equation	(dy)/(dx)=csc(x)(csc(x)-cot(x))	$\frac{d y}{d x} = \csc (x) (\csc (x) - \cot (x))$
78100	Solve the Differential Equation	(dy)/(dx)+e^(-x)=0	$\frac{d y}{d x} + e^{- x} = 0$