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인기 문제

순위	주제	문제	형식화된 문제
77901	Solve the Differential Equation	(d^2y)/(dx^2)-2(dy)/(dx)+y=e^xsin(x)	$\frac{d^{2} y}{d x^{2}} - 2 \frac{d y}{d x} + y = e^{x} \sin (x)$
77902	Solve the Differential Equation	6y''''=(2x+1)(y^2-2y-8)	$6 y'' = (2 x + 1) (y^{2} - 2 y - 8)$
77903	Solve the Differential Equation	x*y''''=4y	$x \cdot y'' = 4 y$
77904	Solve the Differential Equation	dx-(2+x)dy=0	$d x - (2 + x) d y = 0$
77905	Solve the Differential Equation	xy^2dy+(x^2+1)dx=0	$x y^{2} d y + (x^{2} + 1) d x = 0$
77906	Solve the Differential Equation	(dy)/(dx)=(y( 자연로그 y- 자연로그 x))/x	$\frac{d y}{d x} = \frac{y (\ln (y) - \ln (x))}{x}$
77907	Solve the Differential Equation	(dy)/(dx)=e^(4x)cos(e^(4x)) , y(0)=0	$\frac{d y}{d x} = e^{4 x} \cos (e^{4 x})$ , $y (0) = 0$
77908	Solve the Differential Equation	(x+3y-5)dx+(x+3y+10)dy=0	$(x + 3 y - 5) d x + (x + 3 y + 10) d y = 0$
77909	Solve the Differential Equation	x(dy)/(dx)+6y=18	$x \frac{d y}{d x} + 6 y = 18$
77910	Solve the Differential Equation	(dy)/(dx)=(x+1)/( x) , y(1)=0 의 제곱근	$\frac{d y}{d x} = \frac{x + 1}{\sqrt{x}}$ , $y (1) = 0$
77911	Solve the Differential Equation	y^2+xy-x^2=5(dy)/(dx)	$y^{2} + x y - x^{2} = 5 \frac{d y}{d x}$
77912	Solve the Differential Equation	(dy)/(dx)=(2x)/( 2x^2-1) , y(5)=4 의 제곱근	$\frac{d y}{d x} = \frac{2 x}{\sqrt{2 x^{2} - 1}}$ , $y (5) = 4$
77913	Solve the Differential Equation	(dy)/(dx)+4/xy=x^2-1	$\frac{d y}{d x} + \frac{4}{x} y = x^{2} - 1$
77914	Solve the Differential Equation	(dy)/(dx)=e^(3x-2y)+x^2e^(-2y)	$\frac{d y}{d x} = e^{3 x - 2 y} + x^{2} e^{- 2 y}$
77915	Solve the Differential Equation	x(yd)x-2(x^2+2y^2)dy=0	$x yd x - 2 (x^{2} + 2 y^{2}) d y = 0$
77916	Solve the Differential Equation	(dy)/(x^2)=(dx)/(y^2)	$\frac{d y}{x^{2}} = \frac{d x}{y^{2}}$
77917	Solve the Differential Equation	y''''=1-2y	$y'' = 1 - 2 y$
77918	Solve the Differential Equation	(dy)/(dx)=-y/2	$\frac{d y}{d x} = - \frac{y}{2}$
77919	Solve the Differential Equation	(e^2+x+1)dx+(sin(y)+2cos(y))dy=0	$(e^{2} + x + 1) d x + (\sin (y) + 2 \cos (y)) d y = 0$
77920	Solve the Differential Equation	(dy)/(dx)=(x^3-1)(2-y)	$\frac{d y}{d x} = (x^{3} - 1) (2 - y)$
77921	Solve the Differential Equation	tan(ydy)^2=sin(xdx)^3	$\tan^{2} (yd y) = \sin^{3} (x d x)$
77922	Solve the Differential Equation	x^5+16y(dy)/(dx)=0	$x^{5} + 16 y \frac{d y}{d x} = 0$
77923	Solve the Differential Equation	(dy)/(dx)=6x^-3+8x^-1-1 ; , y(1)=0	$\frac{d y}{d x} = 6 x^{- 3} + 8 x^{- 1} - 1$ ; , $y (1) = 0$
77924	Solve the Differential Equation	(dy)/(dx)=6x^2-x^2y	$\frac{d y}{d x} = 6 x^{2} - x^{2} y$
77925	Solve the Differential Equation	(x^2-y^2)dx=2x(yd)y	$(x^{2} - y^{2}) d x = 2 x yd y$
77926	Solve the Differential Equation	(dy)/(dx)=-8x^3y	$\frac{d y}{d x} = - 8 x^{3} y$
77927	Solve the Differential Equation	(dy)/(dx)=e^(x+2y)	$\frac{d y}{d x} = e^{x + 2 y}$
77928	Solve the Differential Equation	y*(dx)/(dy)-x=2y^2	$y \cdot \frac{d x}{d y} - x = 2 y^{2}$
77929	Solve the Differential Equation	a((dy)/(dx))-ay=y-x(dy)/(dx)	$a (\frac{d y}{d x}) - a y = y - x \frac{d y}{d x}$
77930	Solve the Differential Equation	(dy)/(dx)=(3-x)/y	$\frac{d y}{d x} = \frac{3 - x}{y}$
77931	Solve the Differential Equation	9y((dy)/(dx))+4x=0	$9 y (\frac{d y}{d x}) + 4 x = 0$
77932	Solve the Differential Equation	y''''''''''''=0	$y'''''' = 0$
77933	Solve the Differential Equation	(dy)/(dx)=7/(1+x)	$\frac{d y}{d x} = \frac{7}{1 + x}$
77934	Solve the Differential Equation	sec(xdy)^2+csc(ydx)=0	$\sec^{2} (x d y) + \csc (yd x) = 0$
77935	Solve the Differential Equation	y''''+2y=2	$y'' + 2 y = 2$
77936	Solve the Differential Equation	y ydx+xdy=0 의 자연로그	$y \ln (yd x) + x d y = 0$
77937	Solve the Differential Equation	x(yd)x-(x^2+3y^2)dy=0	$x yd x - (x^{2} + 3 y^{2}) d y = 0$
77938	Solve the Differential Equation	y''''=e^(2x)-4y	$y'' = e^{2 x} - 4 y$
77939	Solve the Differential Equation	y''''-3y''''=0	$y'' - 3 y'' = 0$
77940	Solve the Differential Equation	(dy)/(dx)=x^2 , y(0)=1	$\frac{d y}{d x} = x^{2}$ , $y (0) = 1$
77941	Solve the Differential Equation	sec(xdy)-4sin(x)sec(ydx)=0	$\sec (x d y) - 4 \sin (x) \sec (yd x) = 0$
77942	Solve the Differential Equation	8y(dy)/(dx)=12/((3x+2)^2)	$8 y \frac{d y}{d x} = \frac{12}{{(3 x + 2)}^{2}}$
77943	Solve the Differential Equation	(dy)/(dx)=2x^3-3x	$\frac{d y}{d x} = 2 x^{3} - 3 x$
77944	Solve the Differential Equation	(dy)/(dx)=1/(9 x) , y(9)=0 의 제곱근	$\frac{d y}{d x} = \frac{1}{9 \sqrt{x}}$ , $y (9) = 0$
77945	Solve the Differential Equation	e^ydy=cos(xdx)	$e^{y} d y = \cos (x d x)$
77946	Solve the Differential Equation	(dy)/(dx)=x^6e^(x^7)	$\frac{d y}{d x} = x^{6} e^{x^{7}}$
77947	Solve the Differential Equation	(dy)/(dx)=(2y+3)/(4x+5)	$\frac{d y}{d x} = \frac{2 y + 3}{4 x + 5}$
77948	Solve the Differential Equation	y''''=x^2-x^2y	$y'' = x^{2} - x^{2} y$
77949	Solve the Differential Equation	y''''+csc(y)=0	$y'' + \csc (y) = 0$
77950	Solve the Differential Equation	(dy)/(dx)+y/x=arctan(x)	$\frac{d y}{d x} + \frac{y}{x} = \arctan (x)$
77951	Solve the Differential Equation	(6x+y^2)dx+y(kx-3y)dy=0	$(6 x + y^{2}) d x + y (k x - 3 y) d y = 0$
77952	Solve the Differential Equation	y''''''''+4y=x	$y'''' + 4 y = x$
77953	Solve the Differential Equation	(dy)/(dx)+3y=2x	$\frac{d y}{d x} + 3 y = 2 x$
77954	Solve the Differential Equation	(dy)/(dx)=3x^-2	$\frac{d y}{d x} = 3 x^{- 2}$
77955	Solve the Differential Equation	y''''=(y^2-1)x	$y'' = (y^{2} - 1) x$
77956	Solve the Differential Equation	(3xy^2+3x^2)dx+(2x^2y+4y^3)dx=0	$(3 x y^{2} + 3 x^{2}) d x + (2 x^{2} y + 4 y^{3}) d x = 0$
77957	Solve the Differential Equation	(dy)/(dt)=y^2-6y+5	$\frac{d y}{d t} = y^{2} - 6 y + 5$
77958	Solve the Differential Equation	(dy)/(dx)+(3x^2)/(1+x^3)y=1/(1+x^3)	$\frac{d y}{d x} + \frac{3 x^{2}}{1 + x^{3}} y = \frac{1}{1 + x^{3}}$
77959	Solve the Differential Equation	(dy)/(dx)=(y-1)(1-2x)	$\frac{d y}{d x} = (y - 1) (1 - 2 x)$
77960	Solve the Differential Equation	y''''+2xy=2x^3	$y'' + 2 x y = 2 x^{3}$
77961	Solve the Differential Equation	y''''+4xy=0	$y'' + 4 x y = 0$
77962	Solve the Differential Equation	xy''''=y( 자연로그 x- 자연로그 y)	$x y'' = y (\ln (x) - \ln (y))$
77963	Solve the Differential Equation	(x-2y+1)dx+(4x-3y-6)dy=0	$(x - 2 y + 1) d x + (4 x - 3 y - 6) d y = 0$
77964	Solve the Differential Equation	(dy)/(dx)=3x^(5/7)	$\frac{d y}{d x} = 3 x^{\frac{5}{7}}$
77965	Solve the Differential Equation	(xy^2+y^2)dx+(x^2-x^2y)dy=0	$(x y^{2} + y^{2}) d x + (x^{2} - x^{2} y) d y = 0$
77966	Solve the Differential Equation	(dy)/(dx)=-9x^2y	$\frac{d y}{d x} = - 9 x^{2} y$
77967	Solve the Differential Equation	(dy)/(dx)=0.1y	$\frac{d y}{d x} = 0.1 y$
77968	Solve the Differential Equation	y''''''''-y''''+1/4y=3+e^(x/2)	$y'''' - y'' + \frac{1}{4} y = 3 + e^{\frac{x}{2}}$
77969	Solve the Differential Equation	(dy)/(dx)=6	$\frac{d y}{d x} = 6$
77970	Solve the Differential Equation	(dy)/(dx)=3x^(3/4)	$\frac{d y}{d x} = 3 x^{\frac{3}{4}}$
77971	Solve the Differential Equation	(dy)/(dx)=9t^2	$\frac{d y}{d x} = 9 t^{2}$
77972	Solve the Differential Equation	(dx)/(dt)=t	$\frac{d x}{d t} = t$
77973	Solve the Differential Equation	(dy)/(dx)-y/x=xy^2	$\frac{d y}{d x} - \frac{y}{x} = x y^{2}$
77974	Solve the Differential Equation	(dF)/(dx)=-5e^x-5x , F(0)=-6	$\frac{d F}{d x} = - 5 e^{x} - 5 x$ , $F (0) = - 6$
77975	Solve the Differential Equation	(x^2+17)y''''=xy	$(x^{2} + 17) y'' = x y$
77976	Solve the Differential Equation	y''''=-5y	$y'' = - 5 y$
77977	Solve the Differential Equation	y''''=x^2-1	$y'' = x^{2} - 1$
77978	Solve the Differential Equation	(x^4e^x-2mxy^2)dx+(2mx^2y)dy=0	$(x^{4} e^{x} - 2 m x y^{2}) d x + (2 m x^{2} y) d y = 0$
77979	Solve the Differential Equation	dx-4xy^3dy=0	$d x - 4 x y^{3} d y = 0$
77980	Solve the Differential Equation	(2x^3+xy^2+2y+3)dx+(x^2y+2x)dy=0	$(2 x^{3} + x y^{2} + 2 y + 3) d x + (x^{2} y + 2 x) d y = 0$
77981	Solve the Differential Equation	(dy)/(dx)=-7x^2y	$\frac{d y}{d x} = - 7 x^{2} y$
77982	Solve the Differential Equation	e^(3theta)(dr+3rdtheta)=0	$e^{3 θ} (d r + 3 r d θ) = 0$
77983	Solve the Differential Equation	(dy)/(dt)=te^t	$\frac{d y}{d t} = t e^{t}$
77984	Solve the Differential Equation	(dy)/(dx)=(3(2+y))/((3-x)^2)	$\frac{d y}{d x} = \frac{3 (2 + y)}{{(3 - x)}^{2}}$
77985	Solve the Differential Equation	(x+1)y''''+y = natural log of x	$(x + 1) y'' + y = \ln (x)$
77986	Solve the Differential Equation	(dN)/(dt)=400+600 t 의 제곱근	$\frac{d N}{d t} = 400 + 600 \sqrt{t}$
77987	Solve the Differential Equation	(dy)/(y^2-4)=dx	$\frac{d y}{y^{2} - 4} = d x$
77988	Solve the Differential Equation	(dy)/(dx)=3x^3 , y(0)=6	$\frac{d y}{d x} = 3 x^{3}$ , $y (0) = 6$
77989	Solve the Differential Equation	x^2+2y(dy)/(dx)=0	$x^{2} + 2 y \frac{d y}{d x} = 0$
77990	Solve the Differential Equation	(dy)/(dx)=6x-3	$\frac{d y}{d x} = 6 x - 3$
77991	Solve the Differential Equation	(dy)/(dx)=(cos(y)^2)/(x^2)	$\frac{d y}{d x} = \frac{\cos^{2} (y)}{x^{2}}$
77992	Solve the Differential Equation	(dy)/(dx)=y^2+x	$\frac{d y}{d x} = y^{2} + x$
77993	Solve the Differential Equation	y''''''''+a^2y=0	$y'''' + a^{2} y = 0$
77994	Solve the Differential Equation	y''''+4y=2	$y'' + 4 y = 2$
77995	Solve the Differential Equation	y^2(dx)/(dy)+xy=2y^2+1	$y^{2} \frac{d x}{d y} + x y = 2 y^{2} + 1$
77996	Solve the Differential Equation	(dy)/(dx)=( y)/(2x+1) 의 제곱근	$\frac{d y}{d x} = \frac{\sqrt{y}}{2 x + 1}$
77997	Solve the Differential Equation	y''''(t)+Py(t)=Q	$y'' (t) + P y (t) = Q$
77998	Solve the Differential Equation	(x-2y-1)dx+(3x-6y+2)dy=0	$(x - 2 y - 1) d x + (3 x - 6 y + 2) d y = 0$
77999	Solve the Differential Equation	2xy''''=3y''''	$2 x y'' = 3 y''$
78000	Solve the Differential Equation	(2x-y-3)dx-(x+4y+3)dy=0	$(2 x - y - 3) d x - (x + 4 y + 3) d y = 0$