Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
79201	Solve the Differential Equation	(dy)/(dx)=x^2+3x+2	$\frac{d y}{d x} = x^{2} + 3 x + 2$
79202	Solve the Differential Equation	y''''+y^2=e^x*(1+y)^2-1	$y'' + y^{2} = e^{x} \cdot {(1 + y)}^{2} - 1$
79203	Solve the Differential Equation	(dy)/(dx)+1/3y=-1/3(1-2x)y^4	$\frac{d y}{d x} + \frac{1}{3} y = - \frac{1}{3} (1 - 2 x) y^{4}$
79204	Solve the Differential Equation	(xdy-(yd)x)/(y^2)=x^3dx	$\frac{x d y - yd x}{y^{2}} = x^{3} d x$
79205	Solve the Differential Equation	(dy)/(dt)=ky(1-y/M)	$\frac{d y}{d t} = k y (1 - \frac{y}{M})$
79206	Solve the Differential Equation	x(2x^2+y^2)dx+y(x^2+2y^2)dy=0	$x (2 x^{2} + y^{2}) d x + y (x^{2} + 2 y^{2}) d y = 0$
79207	Solve the Differential Equation	(dy)/(dx)=y-x-1+(x-y+2)^-1	$\frac{d y}{d x} = y - x - 1 + {(x - y + 2)}^{- 1}$
79208	Solve the Differential Equation	x^3+2y(dy)/(dx)=0	$x^{3} + 2 y \frac{d y}{d x} = 0$
79209	Solve the Differential Equation	(dy)/(dx)=x/(1+y)	$\frac{d y}{d x} = \frac{x}{1 + y}$
79210	Solve the Differential Equation	xdx=ydy	$x d x = yd y$
79211	Solve the Differential Equation	Solve (dy)/(dx)=(2-y)sin(x)	Solve $\frac{d y}{d x} = (2 - y) \sin (x)$
79212	Solve the Differential Equation	x*(dy)/(dx)=y	$x \cdot \frac{d y}{d x} = y$
79213	Solve the Differential Equation	y''''=1+6xe^(x-y)	$y'' = 1 + 6 x e^{x - y}$
79214	Solve the Differential Equation	(dy)/(dx)=-1/(8 x) , y(25)=0 의 제곱근	$\frac{d y}{d x} = - \frac{1}{8 \sqrt{x}}$ , $y (25) = 0$
79215	Solve the Differential Equation	y''''+1/xy=3x^2y^3	$y'' + \frac{1}{x} y = 3 x^{2} y^{3}$
79216	Solve the Differential Equation	(dy)/(dx)+2xy=16x	$\frac{d y}{d x} + 2 x y = 16 x$
79217	Solve the Differential Equation	(x-2)y''''+y=3x^2+2x	$(x - 2) y'' + y = 3 x^{2} + 2 x$
79218	Solve the Differential Equation	(dy)/(dx)-2=-y	$\frac{d y}{d x} - 2 = - y$
79219	Solve the Differential Equation	y''''-25y''''=0	$y'' - 25 y'' = 0$
79220	Solve the Differential Equation	xy''''=y-2	$x y'' = y - 2$
79221	Solve the Differential Equation	(dy)/(dx)=xy , y(0)=1	$\frac{d y}{d x} = x y$ , $y (0) = 1$
79222	Solve the Differential Equation	y''''+4y''''-y=0	$y'' + 4 y'' - y = 0$
79223	Solve the Differential Equation	(2x+3y-7)dx+(3x+4y-10)dy=0	$(2 x + 3 y - 7) d x + (3 x + 4 y - 10) d y = 0$
79224	Solve the Differential Equation	(dz)/(dx)=x^2+cos(x)	$\frac{d z}{d x} = x^{2} + \cos (x)$
79225	Solve the Differential Equation	s''''=(ds)/(dt)	$s'' = \frac{d s}{d t}$
79226	Solve the Differential Equation	x^2dy=-y^3(x^3-1)dx	$x^{2} d y = - y^{3} (x^{3} - 1) d x$
79227	Solve the Differential Equation	y''''''''-y''''-6=0	$y'''' - y'' - 6 = 0$
79228	Solve the Differential Equation	(dy)/(dx)=10x-9 and y(5)=0	$\frac{d y}{d x} = 10 x - 9$ and $y (5) = 0$
79229	Solve the Differential Equation	(dy)/(dx)=(x^2+x)/(y+7)	$\frac{d y}{d x} = \frac{x^{2} + x}{y + 7}$
79230	Solve the Differential Equation	y''''sin(2x)=ycos(2x)	$y'' \sin (2 x) = y \cos (2 x)$
79231	Solve the Differential Equation	(x^2)/y=4y(dy)/(dx)	$\frac{x^{2}}{y} = 4 y \frac{d y}{d x}$
79232	Solve the Differential Equation	(cos(y)-xsec(y)^2)dx-sin(ydy)=0	$(\cos (y) - x \sec^{2} (y)) d x - \sin (yd y) = 0$
79233	Solve the Differential Equation	(2x+4y-1)dx+(4x+6y+1)dy=0	$(2 x + 4 y - 1) d x + (4 x + 6 y + 1) d y = 0$
79234	Solve the Differential Equation	(dA)/(dt)=0.07A	$\frac{d A}{d t} = 0.07 A$
79235	Solve the Differential Equation	(dy)/(dx)=(8x^3)/(3y^2)	$\frac{d y}{d x} = \frac{8 x^{3}}{3 y^{2}}$
79236	Solve the Differential Equation	(dy)/(dx)=(x+4)/(y-4)	$\frac{d y}{d x} = \frac{x + 4}{y - 4}$
79237	Solve the Differential Equation	y''''=x-y+1	$y'' = x - y + 1$
79238	Solve the Differential Equation	(2x^2-ye^x)dx-e^xdy=0	$(2 x^{2} - y e^{x}) d x - e^{x} d y = 0$
79239	Solve the Differential Equation	y''''+2y''''+10y=x^2	$y'' + 2 y'' + 10 y = x^{2}$
79240	Solve the Differential Equation	(2x+y^3)dx+(3xy^2-e^(2y))dy=0	$(2 x + y^{3}) d x + (3 x y^{2} - e^{2 y}) d y = 0$
79241	Solve the Differential Equation	(dy)/(dx)=(2x^2)/( 8+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{2 x^{2}}{\sqrt{8 + x^{3}}}$
79242	Solve the Differential Equation	xdy+(x-2y)dx=3x^3e^(-x)dx	$x d y + (x - 2 y) d x = 3 x^{3} e^{- x} d x$
79243	Solve the Differential Equation	y''''''''''''+3y''''''''-y''''=0	$y'''''' + 3 y'''' - y'' = 0$
79244	Solve the Differential Equation	(dy)/(dx)=cot(x) , y(-3)=7	$\frac{d y}{d x} = \cot (x)$ , $y (- 3) = 7$
79245	Solve the Differential Equation	(1-x^2)(dy)/(dx)=4y	$(1 - x^{2}) \frac{d y}{d x} = 4 y$
79246	Solve the Differential Equation	(du)/(dx)=8x^7-5x^4+6	$\frac{d u}{d x} = 8 x^{7} - 5 x^{4} + 6$
79247	Solve the Differential Equation	(dy)/(dt)=10t+9t^2 , y(1)=2	$\frac{d y}{d t} = 10 t + 9 t^{2}$ , $y (1) = 2$
79248	Solve the Differential Equation	(dy)/(dx)=e^(x-4y)	$\frac{d y}{d x} = e^{x - 4 y}$
79249	Solve the Differential Equation	(dy)/(dx)-2y=4	$\frac{d y}{d x} - 2 y = 4$
79250	Solve the Differential Equation	(2xy+sin(x))dx+(x^2+cos(y))dy=0	$(2 x y + \sin (x)) d x + (x^{2} + \cos (y)) d y = 0$
79251	Solve the Differential Equation	xy''''+2y=e^(x^2)	$x y'' + 2 y = e^{x^{2}}$
79252	Solve the Differential Equation	xy^4dx+(y^2+2)e^xdy=0	$x y^{4} d x + (y^{2} + 2) e^{x} d y = 0$
79253	Solve the Differential Equation	(dE)/(dt)=25-8t	$\frac{d E}{d t} = 25 - 8 t$
79254	Solve the Differential Equation	(dy)/(dx)+xy=1	$\frac{d y}{d x} + x y = 1$
79255	Solve the Differential Equation	(2dy)/(dx)+y=3	$\frac{2 d y}{d x} + y = 3$
79256	Solve the Differential Equation	(1/y)dx-(3y-x/(y^2))dy=0	$(\frac{1}{y}) d x - (3 y - \frac{x}{y^{2}}) d y = 0$
79257	Solve the Differential Equation	(y^2+4y-1)(dy)/(dx)=x^2-2x+3	$(y^{2} + 4 y - 1) \frac{d y}{d x} = x^{2} - 2 x + 3$
79258	Solve the Differential Equation	(y-cos(x)^2)dx+cos(xdy)=0	$(y - \cos^{2} (x)) d x + \cos (x d y) = 0$
79259	Solve the Differential Equation	(dy)/(dx)+y/x=3x	$\frac{d y}{d x} + \frac{y}{x} = 3 x$
79260	Solve the Differential Equation	(dy)/(dx)=3x-xy	$\frac{d y}{d x} = 3 x - x y$
79261	Solve the Differential Equation	y''''+49y=0	$y'' + 49 y = 0$
79262	Solve the Differential Equation	(d^2y)/(dx^2)+4(dy)/(dx)+5y=0	$\frac{d^{2} y}{d x^{2}} + 4 \frac{d y}{d x} + 5 y = 0$
79263	Solve the Differential Equation	(dy)/(dx)=x/y+1	$\frac{d y}{d x} = \frac{x}{y} + 1$
79264	Solve the Differential Equation	x(yd)x+(x^2+1)dy=0	$x yd x + (x^{2} + 1) d y = 0$
79265	Solve the Differential Equation	y''''''''+y''''=sec(x)	$y'''' + y'' = \sec (x)$
79266	Solve the Differential Equation	(dC)/(dx)=12/( 12x+1) 의 세제곱근	$\frac{d C}{d x} = \frac{12}{\sqrt[3]{12 x + 1}}$
79267	Solve the Differential Equation	(dy)/(dx)=(xy)/(x+3)	$\frac{d y}{d x} = \frac{x y}{x + 3}$
79268	Solve the Differential Equation	(y'''')/x=3xy	$\frac{y''}{x} = 3 x y$
79269	Solve the Differential Equation	f(x)=x+5/x	$f (x) = x + \frac{5}{x}$
79270	Solve the Differential Equation	x(dy)/(dx)=5y+2x^3-x	$x \frac{d y}{d x} = 5 y + 2 x^{3} - x$
79271	Solve the Differential Equation	x(dy)/(dx)=y/(2+3y)	$x \frac{d y}{d x} = \frac{y}{2 + 3 y}$
79272	Solve the Differential Equation	(dy)/(dx)+y/x=5x^3	$\frac{d y}{d x} + \frac{y}{x} = 5 x^{3}$
79273	Solve the Differential Equation	(dy)/(dx)=(x^2y)/(x^3+y^3)	$\frac{d y}{d x} = \frac{x^{2} y}{x^{3} + y^{3}}$
79274	Solve the Differential Equation	y''''=xe^(-x)	$y'' = x e^{- x}$
79275	Solve the Differential Equation	(ds)/(dt)=-2t+cos(t) , s(0)=4	$\frac{d s}{d t} = - 2 t + \cos (t)$ , $s (0) = 4$
79276	Solve the Differential Equation	(dy)/(dx)=-1/( x) , y(25)=0 의 제곱근	$\frac{d y}{d x} = - \frac{1}{\sqrt{x}}$ , $y (25) = 0$
79277	Solve the Differential Equation	(dy)/(dx)=y/(x+3)	$\frac{d y}{d x} = \frac{y}{x + 3}$
79278	Solve the Differential Equation	y^(1/2)y''''+y^(3/2)=1	$y^{\frac{1}{2}} y'' + y^{\frac{3}{2}} = 1$
79279	Solve the Differential Equation	(x+8)y''''=5y	$(x + 8) y'' = 5 y$
79280	Solve the Differential Equation	(dy)/(dx)=18x^2 y 의 제곱근	$\frac{d y}{d x} = 18 x^{2} \sqrt{y}$
79281	Solve the Differential Equation	(dy)/(dx)=1/(sin(x)^2)	$\frac{d y}{d x} = \frac{1}{\sin^{2} (x)}$
79282	Solve the Differential Equation	x(dv)/(dx)=(1-4v^2)/(3v)	$x \frac{d v}{d x} = \frac{1 - 4 v^{2}}{3 v}$
79283	Solve the Differential Equation	(x-y-1)dx+(4y+x-1)dy=0	$(x - y - 1) d x + (4 y + x - 1) d y = 0$
79284	Solve the Differential Equation	xsin(ydy)-(cos(y)+xe^x)dx=0	$x \sin (yd y) - (\cos (y) + x e^{x}) d x = 0$
79285	Solve the Differential Equation	(dy)/(dx)+ytan(x)=sin(2x)	$\frac{d y}{d x} + y \tan (x) = \sin (2 x)$
79286	Solve the Differential Equation	(x+2)^2*(dy)/(dx)=5-8y-4xy	${(x + 2)}^{2} \cdot \frac{d y}{d x} = 5 - 8 y - 4 x y$
79287	Solve the Differential Equation	(dy)/(dx)=3xcos(y)^2	$\frac{d y}{d x} = 3 x \cos^{2} (y)$
79288	Solve the Differential Equation	(y+1)dy+(x-y)dx=0	$(y + 1) d y + (x - y) d x = 0$
79289	Solve the Differential Equation	(x-y)=8xy''''	$(x - y) = 8 x y''$
79290	Solve the Differential Equation	(df(x))/(dx)=sin(3x+pi)	$\frac{d f (x)}{d x} = \sin (3 x + π)$
79291	Solve the Differential Equation	(y-x)dx+(x+y)dy=0	$(y - x) d x + (x + y) d y = 0$
79292	Solve the Differential Equation	yy''''+6x=0	$y y'' + 6 x = 0$
79293	Solve the Differential Equation	f(x)=((x^2-2x+3)/(x^3-1))^6	$f (x) = {(\frac{(x^{2} - 2 x + 3)}{(x^{3} - 1)})}^{6}$
79294	Solve the Differential Equation	y(dy)/(dx)=a/((1+x/b)^2)	$y \frac{d y}{d x} = \frac{a}{{(1 + \frac{x}{b})}^{2}}$
79295	Solve the Differential Equation	(dy)/(dx)=-cos(x)	$\frac{d y}{d x} = - \cos (x)$
79296	Solve the Differential Equation	y''''=3	$y'' = 3$
79297	Solve the Differential Equation	(dy)/(dx)+y=yxe^(x+2)	$\frac{d y}{d x} + y = y x e^{x + 2}$
79298	Solve the Differential Equation	(dy)/(dx) = square root of x-2/x	$\frac{d y}{d x} = \sqrt{x} - \frac{2}{x}$
79299	Solve the Differential Equation	(du)/(dt)=e^(3u+10t) , u(0)=17	$\frac{d u}{d t} = e^{3 u + 10 t}$ , $u (0) = 17$
79300	Solve the Differential Equation	(dy)/(dx)=3/(x^2)	$\frac{d y}{d x} = \frac{3}{x^{2}}$