Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
73001	Solve the Differential Equation	ydy-xdx=0	$yd y - x d x = 0$
73002	Solve the Differential Equation	(dy)/(dt)=72-y	$\frac{d y}{d t} = 72 - y$
73003	Solve the Differential Equation	(2x-y)dx+(4x+y-6)dy=0	$(2 x - y) d x + (4 x + y - 6) d y = 0$
73004	Solve the Differential Equation	y''''=(y^2-x^2)/(3xy)	$y'' = \frac{y^{2} - x^{2}}{3 x y}$
73005	Solve the Differential Equation	(dy)/(dx)=y-5	$\frac{d y}{d x} = y - 5$
73006	Solve the Differential Equation	(dy)/(dx)=y/(x+y)	$\frac{d y}{d x} = \frac{y}{x + y}$
73007	Solve the Differential Equation	(dy)/(dx)=(5x)/(7y)	$\frac{d y}{d x} = \frac{5 x}{7 y}$
73008	Solve the Differential Equation	xy''''-y=3	$x y'' - y = 3$
73009	Solve the Differential Equation	(dy)/(dx)=(cos(x))/(cos(x)+1)	$\frac{d y}{d x} = \frac{\cos (x)}{\cos (x) + 1}$
73010	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=9	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 9$
73011	Solve the Differential Equation	x(dy)/(dx)+6y=3xy^(4/3)	$x \frac{d y}{d x} + 6 y = 3 x y^{\frac{4}{3}}$
73012	Solve the Differential Equation	(dy)/(dx)-2xy=e^(x^2)	$\frac{d y}{d x} - 2 x y = e^{x^{2}}$
73013	Solve the Differential Equation	f(x)=x^3-4x^2+3x	$f (x) = x^{3} - 4 x^{2} + 3 x$
73014	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=13	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 13$
73015	Solve the Differential Equation	(e^y+6x)dx+xe^ydy=0	$(e^{y} + 6 x) d x + x e^{y} d y = 0$
73016	Solve the Differential Equation	2(dy)/(dx)-22xy-11x=0	$2 \frac{d y}{d x} - 22 x y - 11 x = 0$
73017	Solve the Differential Equation	(dy)/(dx)-15x^2=8	$\frac{d y}{d x} - 15 x^{2} = 8$
73018	Solve the Differential Equation	y''''=xy+x-2y-2 para y(0)=1	$y'' = x y + x - 2 y - 2$ para $y (0) = 1$
73019	Solve the Differential Equation	(dy)/(dx)=sec(x)^2 , y(0)=3	$\frac{d y}{d x} = \sec^{2} (x)$ , $y (0) = 3$
73020	Solve the Differential Equation	y''''=ky	$y'' = k y$
73021	Solve the Differential Equation	4x-2y(dy)/(dx)=0	$4 x - 2 y \frac{d y}{d x} = 0$
73022	Solve the Differential Equation	(dy)/(dx)=(26x)/(e^y)	$\frac{d y}{d x} = \frac{26 x}{e^{y}}$
73023	Solve the Differential Equation	(dy)/(dx)=3+ytan(x)	$\frac{d y}{d x} = 3 + y \tan (x)$
73024	Solve the Differential Equation	(x^2+1)(dy)/(dx)+4xy=x	$(x^{2} + 1) \frac{d y}{d x} + 4 x y = x$
73025	Solve the Differential Equation	(x^2+y^2)dx+(2xy+cos(y))dy=0	$(x^{2} + y^{2}) d x + (2 x y + \cos (y)) d y = 0$
73026	Solve the Differential Equation	y''''=xe^(x^2-y)	$y'' = x e^{x^{2} - y}$
73027	Solve the Differential Equation	(ds)/(dt)=8sin(t+pi/12)^2 , s(0)=5	$\frac{d s}{d t} = 8 \sin^{2} (t + \frac{π}{12})$ , $s (0) = 5$
73028	Solve the Differential Equation	xdy+ydx+xdx=0	$x d y + yd x + x d x = 0$
73029	Solve the Differential Equation	(2x+1)dy+y^2dx=0	$(2 x + 1) d y + y^{2} d x = 0$
73030	Solve the Differential Equation	y''''=3x+4y	$y'' = 3 x + 4 y$
73031	Solve the Differential Equation	(dy)/(dx)=12e^(-4x)	$\frac{d y}{d x} = 12 e^{- 4 x}$
73032	Solve the Differential Equation	(x-2)dx+4(x+y-1)dy=0	$(x - 2) d x + 4 (x + y - 1) d y = 0$
73033	Solve the Differential Equation	y''''''''''''-y''''''''+y''''-y=0	$y'''''' - y'''' + y'' - y = 0$
73034	Solve the Differential Equation	y''''''''-3y''''=0	$y'''' - 3 y'' = 0$
73035	Solve the Differential Equation	y''''-y=-y^2	$y'' - y = - y^{2}$
73036	Solve the Differential Equation	(x+y)/(x-y)dx-dy=0	$\frac{x + y}{x - y} d x - d y = 0$
73037	Solve the Differential Equation	(dr)/(dtheta)=picos(pitheta) , r(1)=3	$\frac{d r}{d θ} = π \cos (π θ)$ , $r (1) = 3$
73038	Solve the Differential Equation	(dr)/(ds)=0.6r	$\frac{d r}{d s} = 0.6 r$
73039	Solve the Differential Equation	(dy)/(dx)=(5x+3)/(y-4)	$\frac{d y}{d x} = \frac{5 x + 3}{y - 4}$
73040	Solve the Differential Equation	(dy)/(dx)=4x y 의 제곱근	$\frac{d y}{d x} = 4 x \sqrt{y}$
73041	Solve the Differential Equation	x(dy)/(dx)=2y+x^3cos(x)	$x \frac{d y}{d x} = 2 y + x^{3} \cos (x)$
73042	Solve the Differential Equation	x(dy)/(dx)=1/(y^3)	$x \frac{d y}{d x} = \frac{1}{y^{3}}$
73043	Solve the Differential Equation	(dy)/(dx)=(2-y)sin(x)	$\frac{d y}{d x} = (2 - y) \sin (x)$
73044	Solve the Differential Equation	(1+x^2)(dy)/(dx)=1	$(1 + x^{2}) \frac{d y}{d x} = 1$
73045	Solve the Differential Equation	y''''=1/(xy)	$y'' = \frac{1}{x y}$
73046	Solve the Differential Equation	(dy)/(dx)=sin(x^2)	$\frac{d y}{d x} = \sin (x^{2})$
73047	Solve the Differential Equation	(d^2y)/(dx^2)+25y=0	$\frac{d^{2} y}{d x^{2}} + 25 y = 0$
73048	Solve the Differential Equation	(dy)/(dx)=y/x+(y^2)/(x^2)	$\frac{d y}{d x} = \frac{y}{x} + \frac{y^{2}}{x^{2}}$
73049	Solve the Differential Equation	(d^2y)/(dx^2)-2(dy)/(dx)-3y=5	$\frac{d^{2} y}{d x^{2}} - 2 \frac{d y}{d x} - 3 y = 5$
73050	Solve the Differential Equation	xdx+sin(y/x)^2(ydx-xdy)=0	$x d x + \sin^{2} (\frac{y}{x}) (yd x - x d y) = 0$
73051	Solve the Differential Equation	x^2(dy)/(dx)=3y^2+xy	$x^{2} \frac{d y}{d x} = 3 y^{2} + x y$
73052	Solve the Differential Equation	x^2y''''''''-2xy''''-4y=0	$x^{2} y'''' - 2 x y'' - 4 y = 0$
73053	Solve the Differential Equation	e^y(1+x^2)dy-2x(1+e^y)dx=0	$e^{y} (1 + x^{2}) d y - 2 x (1 + e^{y}) d x = 0$
73054	Solve the Differential Equation	f(x)=8x^3-6x^2+20x+15	$f (x) = 8 x^{3} - 6 x^{2} + 20 x + 15$
73055	Solve the Differential Equation	2xdx+dy=0	$2 x d x + d y = 0$
73056	Solve the Differential Equation	(dx)/(dt)=6/x	$\frac{d x}{d t} = \frac{6}{x}$
73057	Solve the Differential Equation	(x-2y)dx+(2x+y+5)dy=0	$(x - 2 y) d x + (2 x + y + 5) d y = 0$
73058	Solve the Differential Equation	(dy)/(dx)=x/y , y(0)=-2	$\frac{d y}{d x} = \frac{x}{y}$ , $y (0) = - 2$
73059	Solve the Differential Equation	xy''''-3y=0	$x y'' - 3 y = 0$
73060	Solve the Differential Equation	e^ydx+(xe^y+2y)dy=0	$e^{y} d x + (x e^{y} + 2 y) d y = 0$
73061	Solve the Differential Equation	(dy)/(dx)=(3y-4x)/x	$\frac{d y}{d x} = \frac{3 y - 4 x}{x}$
73062	Solve the Differential Equation	y''''+y''''+y=0	$y'' + y'' + y = 0$
73063	Solve the Differential Equation	x(dy)/(dx)+2y=xsin(x)	$x \frac{d y}{d x} + 2 y = x \sin (x)$
73064	Solve the Differential Equation	(xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx	$\frac{x d y}{x^{2} + y^{2}} = (\frac{y}{x^{2} + y^{2}} - 1) d x$
73065	Solve the Differential Equation	(dy)/(dx)=3x^2+2x+1	$\frac{d y}{d x} = 3 x^{2} + 2 x + 1$
73066	Solve the Differential Equation	y x-xy''''=0 의 자연로그	$y \ln (x) - x y'' = 0$
73067	Solve the Differential Equation	(dy)/(dx)+y=2xy^2e^x	$\frac{d y}{d x} + y = 2 x y^{2} e^{x}$
73068	Solve the Differential Equation	(dA)/(dt)=7A	$\frac{d A}{d t} = 7 A$
73069	Solve the Differential Equation	(x^2-y^2)dx-2x(yd)y=0	$(x^{2} - y^{2}) d x - 2 x yd y = 0$
73070	Solve the Differential Equation	(dy)/(dx)=(1+x^2)(1+y^2)	$\frac{d y}{d x} = (1 + x^{2}) (1 + y^{2})$
73071	Solve the Differential Equation	dx-2x(yd)y=6x^3y^2e^(-2y^2)dy	$d x - 2 x yd y = 6 x^{3} y^{2} e^{- 2 y^{2}} d y$
73072	Solve the Differential Equation	y''''-y/x=2+ x 의 제곱근	$y'' - \frac{y}{x} = 2 + \sqrt{x}$
73073	Solve the Differential Equation	y''''+xy=0	$y'' + x y = 0$
73074	Solve the Differential Equation	(d^2y)/(dx^2)-2/(x^2)y=0	$\frac{d^{2} y}{d x^{2}} - \frac{2}{x^{2}} y = 0$
73075	Solve the Differential Equation	(dy)/(dx)=3/(x^2+x)	$\frac{d y}{d x} = \frac{3}{x^{2} + x}$
73076	Solve the Differential Equation	(dy)/(dx)=-e^(x+y)	$\frac{d y}{d x} = - e^{x + y}$
73077	Solve the Differential Equation	(dy)/(dx)=-x	$\frac{d y}{d x} = - x$
73078	Solve the Differential Equation	(dy)/(dx)=4/x	$\frac{d y}{d x} = \frac{4}{x}$
73079	Solve the Differential Equation	(dp)/(dz)+2/zp=4	$\frac{d p}{d z} + \frac{2}{z} p = 4$
73080	Solve the Differential Equation	(dy)/(dx)+ycot(x)=cos(x)	$\frac{d y}{d x} + y \cot (x) = \cos (x)$
73081	Solve the Differential Equation	(dy)/(dx)=6e^(-3x)	$\frac{d y}{d x} = 6 e^{- 3 x}$
73082	Solve the Differential Equation	y''''+y=e^(3x)	$y'' + y = e^{3 x}$
73083	Solve the Differential Equation	(dy)/(dx)=3x-ysin(x)	$\frac{d y}{d x} = 3 x - y \sin (x)$
73084	Solve the Differential Equation	(x+2y)dx+(y+2x)dy=0	$(x + 2 y) d x + (y + 2 x) d y = 0$
73085	Solve the Differential Equation	(dy)/(dx)=3x^-2e^(-y)	$\frac{d y}{d x} = 3 x^{- 2} e^{- y}$
73086	Solve the Differential Equation	(dx)/(dt)=3/x	$\frac{d x}{d t} = \frac{3}{x}$
73087	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=11	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 11$
73088	Solve the Differential Equation	(dy)/(dx)=(3y^2-x^2)/(2xy)	$\frac{d y}{d x} = \frac{3 y^{2} - x^{2}}{2 x y}$
73089	Solve the Differential Equation	(ds)/(dt)=8sin(t+pi/12)^2 , s(0)=8	$\frac{d s}{d t} = 8 \sin^{2} (t + \frac{π}{12})$ , $s (0) = 8$
73090	Solve the Differential Equation	(x^2-3y^2)dx+2x(yd)y=0	$(x^{2} - 3 y^{2}) d x + 2 x yd y = 0$
73091	Solve the Differential Equation	(y^2-2xy)dx+x^2dy=0	$(y^{2} - 2 x y) d x + x^{2} d y = 0$
73092	Solve the Differential Equation	(ds)/(dt)=11t+cos(t) , s(0)=3	$\frac{d s}{d t} = 11 t + \cos (t)$ , $s (0) = 3$
73093	Solve the Differential Equation	x(dy)/(dx)+y=y^-2	$x \frac{d y}{d x} + y = y^{- 2}$
73094	Solve the Differential Equation	y''''-2y''''+5y=0	$y'' - 2 y'' + 5 y = 0$
73095	Solve the Differential Equation	y(2x^2-xy+1)dx+(x-y)dy=0	$y (2 x^{2} - x y + 1) d x + (x - y) d y = 0$
73096	Solve the Differential Equation	cos(x)^2(dy)/(dx)=y+3	$\cos^{2} (x) \frac{d y}{d x} = y + 3$
73097	Solve the Differential Equation	yy''''=5cos(x)	$y y'' = 5 \cos (x)$
73098	Solve the Differential Equation	(dy)/(dx)=(3y^2+x^2)/(2xy)	$\frac{d y}{d x} = \frac{3 y^{2} + x^{2}}{2 x y}$
73099	Solve the Differential Equation	x(dy)/(dx)=y-x	$x \frac{d y}{d x} = y - x$
73100	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=3	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 3$