Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
71601	Solve the Differential Equation	y(6y^2-x-1)dx+2xdy=0	$y (6 y^{2} - x - 1) d x + 2 x d y = 0$
71602	Solve the Differential Equation	(t+1)dt-1/(y^2)dy=0	$(t + 1) d t - \frac{1}{y^{2}} d y = 0$
71603	Solve the Differential Equation	(dy)/(dx)=(2xy)/(1+x^2)	$\frac{d y}{d x} = \frac{2 x y}{1 + x^{2}}$
71604	Solve the Differential Equation	(dy)/(dx)=-1/4e^xy^-2	$\frac{d y}{d x} = - \frac{1}{4} e^{x} y^{- 2}$
71605	Solve the Differential Equation	y''''+3xe^y=0	$y'' + 3 x e^{y} = 0$
71606	Solve the Differential Equation	x(dy)/(dx)+y=4x+1 , y(1)=8	$x \frac{d y}{d x} + y = 4 x + 1$ , $y (1) = 8$
71607	Solve the Differential Equation	(e^x+y)dx+(2+x+ye^y)dy=0	$(e^{x} + y) d x + (2 + x + y e^{y}) d y = 0$
71608	Solve the Differential Equation	y''''=(5x)/y	$y'' = \frac{5 x}{y}$
71609	Solve the Differential Equation	y''''+(4/x)y=x^4	$y'' + (\frac{4}{x}) y = x^{4}$
71610	Solve the Differential Equation	(dy)/(dx)=11x^10y	$\frac{d y}{d x} = 11 x^{10} y$
71611	Solve the Differential Equation	(dy)/(dx)=3sec(5x)^2	$\frac{d y}{d x} = 3 \sec^{2} (5 x)$
71612	Solve the Differential Equation	(y^2-3y-x)dx+(2y-3)dy=0	$(y^{2} - 3 y - x) d x + (2 y - 3) d y = 0$
71613	Solve the Differential Equation	x^3dx+(y+1)^2dy=0	$x^{3} d x + {(y + 1)}^{2} d y = 0$
71614	Solve the Differential Equation	(dy)/(dx)=4x^2	$\frac{d y}{d x} = 4 x^{2}$
71615	Solve the Differential Equation	(dy)/(dx)=3y^2-y^2p	$\frac{d y}{d x} = 3 y^{2} - y^{2} p$
71616	Solve the Differential Equation	y''''''''-6y''''+13y=0	$y'''' - 6 y'' + 13 y = 0$
71617	Solve the Differential Equation	x^2y''''=4x^2+7xy+2y^2	$x^{2} y'' = 4 x^{2} + 7 x y + 2 y^{2}$
71618	Solve the Differential Equation	xdx+(y-2x)dy=0	$x d x + (y - 2 x) d y = 0$
71619	Solve the Differential Equation	(dz)/(dx)-xz=-x	$\frac{d z}{d x} - x z = - x$
71620	Solve the Differential Equation	(dy)/(dx)=x+2	$\frac{d y}{d x} = x + 2$
71621	Solve the Differential Equation	(df(t))/(dt)=2t+1.2	$\frac{d f (t)}{d t} = 2 t + 1.2$
71622	Solve the Differential Equation	(y+2)dx+(x-2)dy=0	$(y + 2) d x + (x - 2) d y = 0$
71623	Solve the Differential Equation	(dy)/(dx)=10/x	$\frac{d y}{d x} = \frac{10}{x}$
71624	Solve the Differential Equation	sin(x)sin(ydx)+cos(x)cos(ydy)=0	$\sin (x) \sin (yd x) + \cos (x) \cos (yd y) = 0$
71625	Solve the Differential Equation	y''''-3y=0	$y'' - 3 y = 0$
71626	Solve the Differential Equation	(dy)/(dt)-2=-y	$\frac{d y}{d t} - 2 = - y$
71627	Solve the Differential Equation	(dy)/(dx)=y+1	$\frac{d y}{d x} = y + 1$
71628	Solve the Differential Equation	(dy)/(dx)=(3x)/2	$\frac{d y}{d x} = \frac{3 x}{2}$
71629	Solve the Differential Equation	(dy)/(dx)=-(2y^2)/(x^2)	$\frac{d y}{d x} = - \frac{2 y^{2}}{x^{2}}$
71630	Solve the Differential Equation	(4x+xy^2)dx+(y+x^2y)dy=0	$(4 x + x y^{2}) d x + (y + x^{2} y) d y = 0$
71631	Solve the Differential Equation	(2x-3y)dx-(2y+3x)dy=0	$(2 x - 3 y) d x - (2 y + 3 x) d y = 0$
71632	Solve the Differential Equation	(dy)/(dx)=y(1-e^(2x))	$\frac{d y}{d x} = y (1 - e^{2 x})$
71633	Solve the Differential Equation	(dy)/(dx)=6x^2	$\frac{d y}{d x} = 6 x^{2}$
71634	Solve the Differential Equation	(dy)/(dx)=9xy	$\frac{d y}{d x} = 9 x y$
71635	Solve the Differential Equation	ydx-4xdy=y^6dy	$yd x - 4 x d y = y^{6} d y$
71636	Solve the Differential Equation	(dy)/(dx)=e^(5y)	$\frac{d y}{d x} = e^{5 y}$
71637	Solve the Differential Equation	y(x+y+1)dx+(x+2y)dy=0	$y (x + y + 1) d x + (x + 2 y) d y = 0$
71638	Solve the Differential Equation	x(dy)/(dx)=y^2+1	$x \frac{d y}{d x} = y^{2} + 1$
71639	Solve the Differential Equation	y''''+4y''''+5y=0	$y'' + 4 y'' + 5 y = 0$
71640	Solve the Differential Equation	(dy)/(dx)=e^(x+y)+x^2e^y	$\frac{d y}{d x} = e^{x + y} + x^{2} e^{y}$
71641	Solve the Differential Equation	x(yd)x-(x+2y)^2dy=0	$x yd x - {(x + 2 y)}^{2} d y = 0$
71642	Solve the Differential Equation	(dy)/(dx)=(2y)/x-x^2y^2	$\frac{d y}{d x} = \frac{2 y}{x} - x^{2} y^{2}$
71643	Solve the Differential Equation	(dy)/(dx)=6x(y^2+1)	$\frac{d y}{d x} = 6 x (y^{2} + 1)$
71644	Solve the Differential Equation	(dy)/(dx)+y/x=y^2	$\frac{d y}{d x} + \frac{y}{x} = y^{2}$
71645	Solve the Differential Equation	(dy)/(dx)=9x^8y	$\frac{d y}{d x} = 9 x^{8} y$
71646	Solve the Differential Equation	6x(dy)/(dx)-6y=6x	$6 x \frac{d y}{d x} - 6 y = 6 x$
71647	Solve the Differential Equation	(dy)/(dx)+3/xy=x^2	$\frac{d y}{d x} + \frac{3}{x} y = x^{2}$
71648	Solve the Differential Equation	(dy)/(dx)-4y=e^x	$\frac{d y}{d x} - 4 y = e^{x}$
71649	Solve the Differential Equation	y''''=(x^2+2y^2)/(xy)	$y'' = \frac{x^{2} + 2 y^{2}}{x y}$
71650	Solve the Differential Equation	y''''=3x^2	$y'' = 3 x^{2}$
71651	Solve the Differential Equation	(d^2y)/(dx^2)-y=0	$\frac{d^{2} y}{d x^{2}} - y = 0$
71652	Solve the Differential Equation	y''''+3y=0	$y'' + 3 y = 0$
71653	Solve the Differential Equation	(dy)/(dx)=e^(3x-2y)	$\frac{d y}{d x} = e^{3 x - 2 y}$
71654	Solve the Differential Equation	(dy)/(dx)=ysec(x)	$\frac{d y}{d x} = y \sec (x)$
71655	Solve the Differential Equation	(dy)/(dx)=y/(x^2)	$\frac{d y}{d x} = \frac{y}{x^{2}}$
71656	Solve the Differential Equation	(dy)/(dx)=3xe^y	$\frac{d y}{d x} = 3 x e^{y}$
71657	Solve the Differential Equation	(dy)/(dx)=(ycos(x))/(1+2y^2)	$\frac{d y}{d x} = \frac{y \cos (x)}{1 + 2 y^{2}}$
71658	Solve the Differential Equation	xy''''-y''''=0	$x y'' - y'' = 0$
71659	Solve the Differential Equation	(du)/(dt)=(3+t^4)/(ut^2+u^4t^2)	$\frac{d u}{d t} = \frac{3 + t^{4}}{u t^{2} + u^{4} t^{2}}$
71660	Solve the Differential Equation	(dy)/(dx)=y^2sin(x)	$\frac{d y}{d x} = y^{2} \sin (x)$
71661	Solve the Differential Equation	(dx)/(dy)=3y^2	$\frac{d x}{d y} = 3 y^{2}$
71662	Solve the Differential Equation	y''''''''-2y''''+5y=0	$y'''' - 2 y'' + 5 y = 0$
71663	Solve the Differential Equation	(x^2+y^2)dx+x(yd)y=0	$(x^{2} + y^{2}) d x + x yd y = 0$
71664	Solve the Differential Equation	y''''=3y	$y'' = 3 y$
71665	Solve the Differential Equation	(d^2y)/(dx^2)=5x^2+1	$\frac{d^{2} y}{d x^{2}} = 5 x^{2} + 1$
71666	Solve the Differential Equation	(dy)/(dx)+4x^3=9x^2	$\frac{d y}{d x} + 4 x^{3} = 9 x^{2}$
71667	Solve the Differential Equation	(dy)/(dx)=7cos(6x)	$\frac{d y}{d x} = 7 \cos (6 x)$
71668	Solve the Differential Equation	x(dy)/(dx)+2y=x(3+5x^2)	$x \frac{d y}{d x} + 2 y = x (3 + 5 x^{2})$
71669	Solve the Differential Equation	(5-x)e^ydx=x(yd)y	$(5 - x) e^{y} d x = x yd y$
71670	Solve the Differential Equation	(dy)/(dx)=(1+y)/(2+x)	$\frac{d y}{d x} = \frac{1 + y}{2 + x}$
71671	Solve the Differential Equation	(dy)/(dx)=5x	$\frac{d y}{d x} = 5 x$
71672	Solve the Differential Equation	(dy)/(dx)=5xe^y , y(0)=0	$\frac{d y}{d x} = 5 x e^{y}$ , $y (0) = 0$
71673	Solve the Differential Equation	(dy)/(dx)=(1+y)/x	$\frac{d y}{d x} = \frac{1 + y}{x}$
71674	Solve the Differential Equation	(dy)/(dx)=7xe^y , y(0)=0	$\frac{d y}{d x} = 7 x e^{y}$ , $y (0) = 0$
71675	Solve the Differential Equation	(dy)/(dx)=1/(3x^2y^2)	$\frac{d y}{d x} = \frac{1}{3 x^{2} y^{2}}$
71676	Solve the Differential Equation	(dP)/(dt)=8 square root of pt	$\frac{d P}{d t} = 8 \sqrt{p t}$
71677	Solve the Differential Equation	(dy)/(dx)-y-e^(3x)=0	$\frac{d y}{d x} - y - e^{3 x} = 0$
71678	Solve the Differential Equation	y''''=2y+x^2+5	$y'' = 2 y + x^{2} + 5$
71679	Solve the Differential Equation	(dy)/(dx)=-9y	$\frac{d y}{d x} = - 9 y$
71680	Solve the Differential Equation	(dy)/(dx)=12y	$\frac{d y}{d x} = 12 y$
71681	Solve the Differential Equation	(dy)/(dx)+2y=10	$\frac{d y}{d x} + 2 y = 10$
71682	Solve the Differential Equation	(dy)/(dx)=4ye^x	$\frac{d y}{d x} = 4 y e^{x}$
71683	Solve the Differential Equation	(dy)/(dx)=15/x	$\frac{d y}{d x} = \frac{15}{x}$
71684	Solve the Differential Equation	(dy)/(dx)=-10x^4y	$\frac{d y}{d x} = - 10 x^{4} y$
71685	Solve the Differential Equation	(dy)/(dt)+2ty=0	$\frac{d y}{d t} + 2 t y = 0$
71686	Solve the Differential Equation	(dy)/(dx)=2x*e^(-y)	$\frac{d y}{d x} = 2 x \cdot e^{- y}$
71687	Solve the Differential Equation	(dy)/(dx)=11xy	$\frac{d y}{d x} = 11 x y$
71688	Solve the Differential Equation	(du)/(dt)=(8+t^4)/(ut^2+u^4t^2)	$\frac{d u}{d t} = \frac{8 + t^{4}}{u t^{2} + u^{4} t^{2}}$
71689	Solve the Differential Equation	(dy)/(dx)=4-y	$\frac{d y}{d x} = 4 - y$
71690	Solve the Differential Equation	(dy)/(dx)=-9e^(x-7) , y(7)=-8	$\frac{d y}{d x} = - 9 e^{x - 7}$ , $y (7) = - 8$
71691	Solve the Differential Equation	(dy)/(dx)=( square root of x+x)/( square root of y-y)	$\frac{d y}{d x} = \frac{\sqrt{x} + x}{\sqrt{y} - y}$
71692	Solve the Differential Equation	y''''''''-16y=0	$y'''' - 16 y = 0$
71693	Solve the Differential Equation	y''''-2y''''+2y=0	$y'' - 2 y'' + 2 y = 0$
71694	Solve the Differential Equation	x square root of 1+y^2dx+y square root of 1+x^2dy=0	$x \sqrt{1 + y^{2}} d x + y \sqrt{1 + x^{2}} d y = 0$
71695	Solve the Differential Equation	(dy)/(dx)+2xy=x^3	$\frac{d y}{d x} + 2 x y = x^{3}$
71696	Solve the Differential Equation	(dy)/(dx)=-2x^3+12x^2-20x+8.5	$\frac{d y}{d x} = - 2 x^{3} + 12 x^{2} - 20 x + 8.5$
71697	Solve the Differential Equation	(dy)/(dx)=2	$\frac{d y}{d x} = 2$
71698	Solve the Differential Equation	(dy)/(dx)-2/xy=x^2	$\frac{d y}{d x} - \frac{2}{x} y = x^{2}$
71699	Solve the Differential Equation	(x^2+3xy+y^2)dx-x^2dy=0	$(x^{2} + 3 x y + y^{2}) d x - x^{2} d y = 0$
71700	Solve the Differential Equation	(dy)/(dx)=(xsin(x)-ycos(x))/(sin(x))	$\frac{d y}{d x} = \frac{x \sin (x) - y \cos (x)}{\sin (x)}$