Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
73701	Solve the Differential Equation	x^2y''''''''+3xy''''+y=0	$x^{2} y'''' + 3 x y'' + y = 0$
73702	Solve the Differential Equation	1-11x^2y''''=x 의 제곱근	$\sqrt{1 - 11 x^{2}} y'' = x$
73703	Solve the Differential Equation	(dy)/(dx)=x^2e^(4x)	$\frac{d y}{d x} = x^{2} e^{4 x}$
73704	Solve the Differential Equation	(dy)/(dx)=(e^x+10)^2	$\frac{d y}{d x} = {(e^{x} + 10)}^{2}$
73705	Solve the Differential Equation	(dy)/(dx)=xsin(x)	$\frac{d y}{d x} = x \sin (x)$
73706	Solve the Differential Equation	y''''=6x^3	$y'' = 6 x^{3}$
73707	Solve the Differential Equation	(dy)/(dx)=6x^2+4x , y(2)=10	$\frac{d y}{d x} = 6 x^{2} + 4 x$ , $y (2) = 10$
73708	Solve the Differential Equation	(2y^3-x^3)dx+3xy^2dy=0	$(2 y^{3} - x^{3}) d x + 3 x y^{2} d y = 0$
73709	Solve the Differential Equation	xy''''-2y=2x^4	$x y'' - 2 y = 2 x^{4}$
73710	Solve the Differential Equation	y''''=(13x)/y	$y'' = \frac{13 x}{y}$
73711	Solve the Differential Equation	2xdy+ydx=8x^3dx	$2 x d y + yd x = 8 x^{3} d x$
73712	Solve the Differential Equation	y''''=(4x+9)(2y+5)	$y'' = (4 x + 9) (2 y + 5)$
73713	Solve the Differential Equation	(y^2+xy^2)dx+(x^2-yx^2)dy=0	$(y^{2} + x y^{2}) d x + (x^{2} - y x^{2}) d y = 0$
73714	Solve the Differential Equation	(dy)/(dx)=2x(y^2+1)	$\frac{d y}{d x} = 2 x (y^{2} + 1)$
73715	Solve the Differential Equation	y''''=-(4x)/y	$y'' = - \frac{4 x}{y}$
73716	Solve the Differential Equation	(dB)/(dt)+2B=50	$\frac{d B}{d t} + 2 B = 50$
73717	Solve the Differential Equation	(2xy+1)dx+(x^2+4y)dy=0	$(2 x y + 1) d x + (x^{2} + 4 y) d y = 0$
73718	Solve the Differential Equation	(dy)/(dx)=8e^(-2x)	$\frac{d y}{d x} = 8 e^{- 2 x}$
73719	Solve the Differential Equation	(x^3+y^2)dx+(x^2-2xy)dy=0	$(x^{3} + y^{2}) d x + (x^{2} - 2 x y) d y = 0$
73720	Solve the Differential Equation	(dy)/(dx)=y^2(6-2x)	$\frac{d y}{d x} = y^{2} (6 - 2 x)$
73721	Solve the Differential Equation	y''''+5y=8	$y'' + 5 y = 8$
73722	Solve the Differential Equation	3y''''+2y''''+y=0	$3 y'' + 2 y'' + y = 0$
73723	Solve the Differential Equation	y''''=24x^2	$y'' = 24 x^{2}$
73724	Solve the Differential Equation	(ydy)/(dx)=2/(3x^2)	$\frac{yd y}{d x} = \frac{2}{3 x^{2}}$
73725	Solve the Differential Equation	1+x 자연로그 ycsc( 자연로그 x)y''''=0	$1 + x \ln (y) \csc (\ln (x)) y'' = 0$
73726	Solve the Differential Equation	(dy)/(dx)+4y=sin(x)	$\frac{d y}{d x} + 4 y = \sin (x)$
73727	Solve the Differential Equation	(dy)/(dx)=(y+1)/(x+1)	$\frac{d y}{d x} = \frac{y + 1}{x + 1}$
73728	Solve the Differential Equation	(dy)/(dt)=y+1	$\frac{d y}{d t} = y + 1$
73729	Solve the Differential Equation	(dr)/(ds)=0.25r	$\frac{d r}{d s} = 0.25 r$
73730	Solve the Differential Equation	(dy)/(dx)+2xy=y	$\frac{d y}{d x} + 2 x y = y$
73731	Solve the Differential Equation	(dy)/(dx)=8e^(x+3) , y(-3)=-5	$\frac{d y}{d x} = 8 e^{x + 3}$ , $y (- 3) = - 5$
73732	Solve the Differential Equation	(dy)/(dx)=6 x^2+3y^2 의 제곱근	$\frac{d y}{d x} = 6 \sqrt{x^{2} + 3 y^{2}}$
73733	Solve the Differential Equation	x(y^2-1)dx-y(x^2-1)dy=0	$x (y^{2} - 1) d x - y (x^{2} - 1) d y = 0$
73734	Solve the Differential Equation	y''''-y=y^2	$y'' - y = y^{2}$
73735	Solve the Differential Equation	(dy)/(dx)=20e^(-5x)	$\frac{d y}{d x} = 20 e^{- 5 x}$
73736	Solve the Differential Equation	(du)/(dt)=7+7u+t+tu	$\frac{d u}{d t} = 7 + 7 u + t + t u$
73737	Solve the Differential Equation	(dy)/(dx)=(2-y)/x	$\frac{d y}{d x} = \frac{2 - y}{x}$
73738	Solve the Differential Equation	xdy=y(xe^(2x)+1)dx	$x d y = y (x e^{2 x} + 1) d x$
73739	Solve the Differential Equation	2x^2(yd)x-(3x^3+y^3)dy=0	$2 x^{2} yd x - (3 x^{3} + y^{3}) d y = 0$
73740	Solve the Differential Equation	e^(x+y)(dx)/(dy)=x	$e^{x + y} \frac{d x}{d y} = x$
73741	Solve the Differential Equation	(dy)/(dx)+4y=16	$\frac{d y}{d x} + 4 y = 16$
73742	Solve the Differential Equation	f(x)=x^9+1/(x^9)	$f (x) = x^{9} + \frac{1}{x^{9}}$
73743	Solve the Differential Equation	xdy-(y+2x^2)dx=0	$x d y - (y + 2 x^{2}) d x = 0$
73744	Solve the Differential Equation	(x-3y)dx+2xdy=0	$(x - 3 y) d x + 2 x d y = 0$
73745	Solve the Differential Equation	(2x-y)dx-(x+2y)dy=0	$(2 x - y) d x - (x + 2 y) d y = 0$
73746	Solve the Differential Equation	(dy)/(dx)=(xy+x^2+y^2)/(x^2)	$\frac{d y}{d x} = \frac{x y + x^{2} + y^{2}}{x^{2}}$
73747	Solve the Differential Equation	(dy)/(dx)+4xy=8x	$\frac{d y}{d x} + 4 x y = 8 x$
73748	Solve the Differential Equation	3(dy)/(dx)-3e^x=9x^2	$3 \frac{d y}{d x} - 3 e^{x} = 9 x^{2}$
73749	Solve the Differential Equation	(dy)/(dx)=(x^2 x^3-3)/(y^2) 의 제곱근	$\frac{d y}{d x} = \frac{x^{2} \sqrt{x^{3} - 3}}{y^{2}}$
73750	Solve the Differential Equation	(dy)/(dx)=5x^2+4/x	$\frac{d y}{d x} = 5 x^{2} + \frac{4}{x}$
73751	Solve the Differential Equation	(dy)/(dx)=3x+4y	$\frac{d y}{d x} = 3 x + 4 y$
73752	Solve the Differential Equation	(dy)/(dx)+y/x=0	$\frac{d y}{d x} + \frac{y}{x} = 0$
73753	Solve the Differential Equation	y(dy)/(dx)=sin(x)	$y \frac{d y}{d x} = \sin (x)$
73754	Solve the Differential Equation	(x^2+2xy)dy=y^2dx	$(x^{2} + 2 x y) d y = y^{2} d x$
73755	Solve the Differential Equation	(dy)/(dx)=(y^3)/(e^x)	$\frac{d y}{d x} = \frac{y^{3}}{e^{x}}$
73756	Solve the Differential Equation	(dy)/(dx)=(x^2-4)(3y+2)	$\frac{d y}{d x} = (x^{2} - 4) (3 y + 2)$
73757	Solve the Differential Equation	f(x)=-6e^x	$f (x) = - 6 e^{x}$
73758	Solve the Differential Equation	(cos(y)+2)(dy)/(dx)=2x	$(\cos (y) + 2) \frac{d y}{d x} = 2 x$
73759	Solve the Differential Equation	(dy)/(dx)=(x-5)e^(-2y)	$\frac{d y}{d x} = (x - 5) e^{- 2 y}$
73760	Solve the Differential Equation	(x^2+3y^2)dx-2x(yd)y=0	$(x^{2} + 3 y^{2}) d x - 2 x yd y = 0$
73761	Solve the Differential Equation	y''''-4y=2-x^3	$y'' - 4 y = 2 - x^{3}$
73762	Solve the Differential Equation	DE(dy)/(dx)=cos(y)^2	$D E \frac{d y}{d x} = \cos^{2} (y)$
73763	Solve the Differential Equation	(2x+3)dx+(2y-2)dy=0	$(2 x + 3) d x + (2 y - 2) d y = 0$
73764	Solve the Differential Equation	(2x+4y-1)dx-(x+2y-3)dy=0	$(2 x + 4 y - 1) d x - (x + 2 y - 3) d y = 0$
73765	Solve the Differential Equation	(dA)/(dt)=-1/220(A-250)	$\frac{d A}{d t} = - \frac{1}{220} (A - 250)$
73766	Solve the Differential Equation	y''''-y/x+csc(y/x)=0	$y'' - \frac{y}{x} + \csc (\frac{y}{x}) = 0$
73767	Solve the Differential Equation	xdx+ye^(-x)dy=0	$x d x + y e^{- x} d y = 0$
73768	Solve the Differential Equation	y''''+36y=0	$y'' + 36 y = 0$
73769	Solve the Differential Equation	(dy)/(dx)=6x^2+4x	$\frac{d y}{d x} = 6 x^{2} + 4 x$
73770	Solve the Differential Equation	(y-x(dy)/(dx))^2=a^2+a^2((dy)/(dx))^2	${(y - x \frac{d y}{d x})}^{2} = a^{2} + a^{2} {(\frac{d y}{d x})}^{2}$
73771	Solve the Differential Equation	x(dy)/(dx)-y=(x-1)e^x	$x \frac{d y}{d x} - y = (x - 1) e^{x}$
73772	Solve the Differential Equation	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
73773	Solve the Differential Equation	(dy)/(dx)=csc(x)-ycot(x)	$\frac{d y}{d x} = \csc (x) - y \cot (x)$
73774	Solve the Differential Equation	y''''-y=xe^x	$y'' - y = x e^{x}$
73775	Solve the Differential Equation	(dy)/(dx)+1/xy=x^3-3	$\frac{d y}{d x} + \frac{1}{x} y = x^{3} - 3$
73776	Solve the Differential Equation	(dH)/(dt)=H(cos(0.25t))/40	$\frac{d H}{d t} = H \frac{\cos (0.25 t)}{40}$
73777	Solve the Differential Equation	25(dT)/(dt)+T=80e^(-0.04t)	$25 \frac{d T}{d t} + T = 80 e^{- 0.04 t}$
73778	Solve the Differential Equation	dy+2/x(yd)x=3dx	$d y + (\frac{2}{x}) yd x = 3 d x$
73779	Solve the Differential Equation	(dA)/(dt)=2pi(40)(0.04)	$\frac{d A}{d t} = 2 π (40) (0.04)$
73780	Solve the Differential Equation	(dy)/(dx)=y-9	$\frac{d y}{d x} = y - 9$
73781	Solve the Differential Equation	y''''-y-xe^x=0	$y'' - y - x e^{x} = 0$
73782	Solve the Differential Equation	(dy)/(dx)=-(x+1)/(2(y+3))	$\frac{d y}{d x} = - \frac{x + 1}{2 (y + 3)}$
73783	Solve the Differential Equation	(dy)/(dx)=(e^y)/(e^x)	$\frac{d y}{d x} = \frac{e^{y}}{e^{x}}$
73784	Solve the Differential Equation	ydx=x(1+xy^4)dy	$yd x = x (1 + x y^{4}) d y$
73785	Solve the Differential Equation	(dy)/(dx)+2y=e^(3x)	$\frac{d y}{d x} + 2 y = e^{3 x}$
73786	Solve the Differential Equation	(dy)/(dx)=15x^2-2x+2	$\frac{d y}{d x} = 15 x^{2} - 2 x + 2$
73787	Solve the Differential Equation	x(yd)x+(x+1)dy=0	$x yd x + (x + 1) d y = 0$
73788	Solve the Differential Equation	y''''''''-xy''''+y=0	$y'''' - x y'' + y = 0$
73789	Solve the Differential Equation	y''''=e^yx^2	$y'' = e^{y} x^{2}$
73790	Solve the Differential Equation	(dA)/(dt)=-3A	$\frac{d A}{d t} = - 3 A$
73791	Solve the Differential Equation	(dy)/(dx)=x(1-y)	$\frac{d y}{d x} = x (1 - y)$
73792	Solve the Differential Equation	(2ycos(x)+sin(x)^4)dx=sin(xdy)	$(2 y \cos (x) + \sin^{4} (x)) d x = \sin (x d y)$
73793	Solve the Differential Equation	(dy)/(dx)=xe^(ax^2)	$\frac{d y}{d x} = x e^{a x^{2}}$
73794	Solve the Differential Equation	(dy)/(dx)=x(7-y)	$\frac{d y}{d x} = x (7 - y)$
73795	Solve the Differential Equation	(dy)/(dx)=-4x+9x^2	$\frac{d y}{d x} = - 4 x + 9 x^{2}$
73796	Solve the Differential Equation	(dy)/(dx)-xy=0	$\frac{d y}{d x} - x y = 0$
73797	Solve the Differential Equation	x^2y''''=1/yx^5	$x^{2} y'' = \frac{1}{y} x^{5}$
73798	Verify the Differential Equation Solution	x^2(dy)/(dx)=y-xy , y(-1)=-1	$x^{2} \frac{d y}{d x} = y - x y$ , $y (- 1) = - 1$
73799	Solve the Differential Equation	y''''=y^2+1	$y'' = y^{2} + 1$
73800	Solve the Differential Equation	y''''+2xy=e^(-x^2)	$y'' + 2 x y = e^{- x^{2}}$