Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
74901	Solve the Differential Equation	y''''=xe^x	$y'' = x e^{x}$
74902	Solve the Differential Equation	y''''+5x^4y=x^4	$y'' + 5 x^{4} y = x^{4}$
74903	Solve the Differential Equation	(x+2)y''''=3y	$(x + 2) y'' = 3 y$
74904	Solve the Differential Equation	xy''''''''+2y''''=16x^2	$x y'''' + 2 y'' = 16 x^{2}$
74905	Solve the Differential Equation	(dy)/(dx)=12x^2-6x	$\frac{d y}{d x} = 12 x^{2} - 6 x$
74906	Solve the Differential Equation	F(x)=(2x+1)^2	$F (x) = {(2 x + 1)}^{2}$
74907	Solve the Differential Equation	y''''-10y=0	$y'' - 10 y = 0$
74908	Solve the Differential Equation	(dy)/(dx)=(3t^2)/y	$\frac{d y}{d x} = \frac{3 t^{2}}{y}$
74909	Solve the Differential Equation	(dy)/(dx)+4y=e^(-3x)	$\frac{d y}{d x} + 4 y = e^{- 3 x}$
74910	Solve the Differential Equation	ydx+(1-3y)xdy=3y^2e^(3y)dy	$yd x + (1 - 3 y) x d y = 3 y^{2} e^{3 y} d y$
74911	Solve the Differential Equation	(x+1)dx+y^2dy=0	$(x + 1) d x + y^{2} d y = 0$
74912	Solve the Differential Equation	f(x)=1/x	$f (x) = \frac{1}{x}$
74913	Solve the Differential Equation	(dy)/(dx)=(y+3x)/x	$\frac{d y}{d x} = \frac{y + 3 x}{x}$
74914	Solve the Differential Equation	(dy)/(dx)-2ytan(x)=y^2tan(x)^2	$\frac{d y}{d x} - 2 y \tan (x) = y^{2} \tan^{2} (x)$
74915	Solve the Differential Equation	(dy)/(dx)+5y+ x=0 의 자연로그	$\frac{d y}{d x} + 5 y + \ln (x) = 0$
74916	Solve the Differential Equation	xy''''+4y=x^3-x	$x y'' + 4 y = x^{3} - x$
74917	Solve the Differential Equation	(x+y)dy-(x-y)dx=0	$(x + y) d y - (x - y) d x = 0$
74918	Solve the Differential Equation	(dy)/(dx)=csc(x)+ycot(x)	$\frac{d y}{d x} = \csc (x) + y \cot (x)$
74919	Solve the Differential Equation	11(dy)/(dx)-77xy-7x=0	$11 \frac{d y}{d x} - 77 x y - 7 x = 0$
74920	Solve the Differential Equation	(dy)/(dx)=11e^(9x-y)	$\frac{d y}{d x} = 11 e^{9 x - y}$
74921	Solve the Differential Equation	(dy)/(dx)-(3y)/(x+1)=(x+1)^4	$\frac{d y}{d x} - \frac{3 y}{x + 1} = {(x + 1)}^{4}$
74922	Solve the Differential Equation	xy''''+y+4=0	$x y'' + y + 4 = 0$
74923	Solve the Differential Equation	(dy)/(dx)=(9x)/(4y)	$\frac{d y}{d x} = \frac{9 x}{4 y}$
74924	Solve the Differential Equation	2(10)+200(0.8)(dq)/(dp)=0	$2 (10) + 200 (0.8) \frac{d q}{d p} = 0$
74925	Solve the Differential Equation	(dy)/(dx)-4y/(x^2)=0	$\frac{d y}{d x} - 4 \frac{y}{x^{2}} = 0$
74926	Solve the Differential Equation	(dy)/(dx)+e^xy=e^xy^2	$\frac{d y}{d x} + e^{x} y = e^{x} y^{2}$
74927	Solve the Differential Equation	t t(dr)/(dt)+r=3te^t 의 자연로그	$t \ln (t) \frac{d r}{d t} + r = 3 t e^{t}$
74928	Solve the Differential Equation	(dy)/(dx)+5y=5x	$\frac{d y}{d x} + 5 y = 5 x$
74929	Solve the Differential Equation	(dy)/(dx)-2xy-4x=0	$\frac{d y}{d x} - 2 x y - 4 x = 0$
74930	Solve the Differential Equation	y'''' = square root of xy	$y'' = \sqrt{x} y$
74931	Solve the Differential Equation	(dy)/(dx)=-10xy	$\frac{d y}{d x} = - 10 x y$
74932	Solve the Differential Equation	y''''=cos(x+y)	$y'' = \cos (x + y)$
74933	Solve the Differential Equation	y''''-2xy=2xy^2	$y'' - 2 x y = 2 x y^{2}$
74934	Solve the Differential Equation	(dy)/(dx)=(2y+x)/x	$\frac{d y}{d x} = \frac{2 y + x}{x}$
74935	Solve the Differential Equation	y''''+2y=3e^t	$y'' + 2 y = 3 e^{t}$
74936	Solve the Differential Equation	(dy)/(dx)=cos(x)cos(y)^2	$\frac{d y}{d x} = \cos (x) \cos^{2} (y)$
74937	Solve the Differential Equation	y''''-12x^11y=e^(x^12)	$y'' - 12 x^{11} y = e^{x^{12}}$
74938	Solve the Differential Equation	(1+x^3)dy-x^2(yd)x=0	$(1 + x^{3}) d y - x^{2} yd x = 0$
74939	Solve the Differential Equation	(dy)/(dx)=-(cos(x))/(x^2)-(2y)/x	$\frac{d y}{d x} = - \frac{\cos (x)}{x^{2}} - \frac{2 y}{x}$
74940	Solve the Differential Equation	(dy)/(dt)=48t^5	$\frac{d y}{d t} = 48 t^{5}$
74941	Solve the Differential Equation	(dy)/(dx)+ay=b	$\frac{d y}{d x} + a y = b$
74942	Solve the Differential Equation	xy''''+4y=x^-3e^x	$x y'' + 4 y = x^{- 3} e^{x}$
74943	Solve the Differential Equation	(dy)/(dx)=5x^(3/7)	$\frac{d y}{d x} = 5 x^{\frac{3}{7}}$
74944	Solve the Differential Equation	(dy)/(dx)=6x^2+8x	$\frac{d y}{d x} = 6 x^{2} + 8 x$
74945	Solve the Differential Equation	(du)/(dt)=e^(6u+7t)	$\frac{d u}{d t} = e^{6 u + 7 t}$
74946	Solve the Differential Equation	y''''+2y''''-6x-3=0	$y'' + 2 y'' - 6 x - 3 = 0$
74947	Solve the Differential Equation	6+5y''''=0	$6 + 5 y'' = 0$
74948	Solve the Differential Equation	(dy)/(dx)=y-14	$\frac{d y}{d x} = y - 14$
74949	Solve the Differential Equation	(ds)/(dt)=15t(3t^2-2)^3	$\frac{d s}{d t} = 15 t {(3 t^{2} - 2)}^{3}$
74950	Solve the Differential Equation	(dy)/(dx)=(y^2+1)/(2xy)	$\frac{d y}{d x} = \frac{y^{2} + 1}{2 x y}$
74951	Solve the Differential Equation	(2x+3y^3)dx+9xy^2dy=0	$(2 x + 3 y^{3}) d x + 9 x y^{2} d y = 0$
74952	Solve the Differential Equation	(dy)/(dx)=(4x^2)/(7y)	$\frac{d y}{d x} = \frac{4 x^{2}}{7 y}$
74953	Solve the Differential Equation	x''''=x+2y	$x'' = x + 2 y$
74954	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=13	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 13$
74955	Solve the Differential Equation	(x+y^2)dx-2x(yd)y=0	$(x + y^{2}) d x - 2 x yd y = 0$
74956	Solve the Differential Equation	(dy)/(dx)=e^x+2x+1	$\frac{d y}{d x} = e^{x} + 2 x + 1$
74957	Solve the Differential Equation	(dz)/(dx)-2/xz=2/3x^4	$\frac{d z}{d x} - \frac{2}{x} z = \frac{2}{3} x^{4}$
74958	Solve the Differential Equation	5(di)/(dt)+15i=30	$5 \frac{d i}{d t} + 15 i = 30$
74959	Solve the Differential Equation	y''''+2y''''+y=x	$y'' + 2 y'' + y = x$
74960	Solve the Differential Equation	(1-y)(dy)/(dx)=x^2	$(1 - y) \frac{d y}{d x} = x^{2}$
74961	Solve the Differential Equation	(dy)/(dx)-(2y)/x = square root of x+1	$\frac{d y}{d x} - \frac{2 y}{x} = \sqrt{x} + 1$
74962	Solve the Differential Equation	xy''''''''=2	$x y'''' = 2$
74963	Solve the Differential Equation	(dy)/(dx)-6xy=2xy^2	$\frac{d y}{d x} - 6 x y = 2 x y^{2}$
74964	Solve the Differential Equation	2xy''''+y=2x^(5/2)	$2 x y'' + y = 2 x^{\frac{5}{2}}$
74965	Solve the Differential Equation	(dy)/(dx)=(4x^2)/( 9+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{4 x^{2}}{\sqrt{9 + x^{3}}}$
74966	Solve the Differential Equation	y''''(x)+3y(x)=-3x+2	$y'' (x) + 3 y (x) = - 3 x + 2$
74967	Solve the Differential Equation	(d^2y)/(dx^2)=18x	$\frac{d^{2} y}{d x^{2}} = 18 x$
74968	Solve the Differential Equation	(y^2)/(x^2)-y''''=0	$\frac{y^{2}}{x^{2}} - y'' = 0$
74969	Solve the Differential Equation	(dy)/(dx)=(8x^7)/(2e^y)	$\frac{d y}{d x} = \frac{8 x^{7}}{2 e^{y}}$
74970	Solve the Differential Equation	y''''=te^(3t)-2y	$y'' = t e^{3 t} - 2 y$
74971	Solve the Differential Equation	y''''''''+y''''=sin(x)	$y'''' + y'' = \sin (x)$
74972	Solve the Differential Equation	(dy)/(dx)=(5x^2)/(8y^2)	$\frac{d y}{d x} = \frac{5 x^{2}}{8 y^{2}}$
74973	Solve the Differential Equation	x(yd)x+(x^2+1)dy=0	$x yd x + (x^{2} + 1) d y = 0$
74974	Solve the Differential Equation	(dy)/(dx)=-(9x)/(4y)	$\frac{d y}{d x} = - \frac{9 x}{4 y}$
74975	Solve the Differential Equation	(dy)/(dx)=-(x^2)/y	$\frac{d y}{d x} = - \frac{x^{2}}{y}$
74976	Solve the Differential Equation	y''''''''+k^2y=0	$y'''' + k^{2} y = 0$
74977	Solve the Differential Equation	(t^2+1)(dy)/(dt)=2y	$(t^{2} + 1) \frac{d y}{d t} = 2 y$
74978	Solve the Differential Equation	y''''+4y''''+7y=0	$y'' + 4 y'' + 7 y = 0$
74979	Solve the Differential Equation	(dy)/(dx)=2x^2+x	$\frac{d y}{d x} = 2 x^{2} + x$
74980	Solve the Differential Equation	(dy)/(dx)=3x^2-2x+5	$\frac{d y}{d x} = 3 x^{2} - 2 x + 5$
74981	Solve the Differential Equation	(dy)/(dx)=(x-y+5)^2	$\frac{d y}{d x} = {(x - y + 5)}^{2}$
74982	Solve the Differential Equation	(dy)/(dx)=(9x)/(7y)	$\frac{d y}{d x} = \frac{9 x}{7 y}$
74983	Solve the Differential Equation	x^2y''''+2xy''''-2y=0	$x^{2} y'' + 2 x y'' - 2 y = 0$
74984	Solve the Differential Equation	(dy)/(dx)=(x^2)/y , y(3)=-2	$\frac{d y}{d x} = \frac{x^{2}}{y}$ , $y (3) = - 2$
74985	Solve the Differential Equation	(dy)/(dx)=(y-2)/(x-6)	$\frac{d y}{d x} = \frac{y - 2}{x - 6}$
74986	Solve the Differential Equation	(2xy-y)dx+(x^2+x)dy=0	$(2 x y - y) d x + (x^{2} + x) d y = 0$
74987	Solve the Differential Equation	y''''''''''''-y''''''''-y''''+y=0	$y'''''' - y'''' - y'' + y = 0$
74988	Solve the Differential Equation	xy''''+3y=0	$x y'' + 3 y = 0$
74989	Solve the Differential Equation	(dy)/(dx)=xe^(x^2- y^2) 의 자연로그	$\frac{d y}{d x} = x e^{x^{2} - \ln (y^{2})}$
74990	Solve the Differential Equation	(x-1)dx-(xe^y+e^y)dy=0	$(x - 1) d x - (x e^{y} + e^{y}) d y = 0$
74991	Solve the Differential Equation	(dy)/(dx)+ytan(x)=cos(x)	$\frac{d y}{d x} + y \tan (x) = \cos (x)$
74992	Solve the Differential Equation	x(dy)/(dx)+3y=x^2	$x \frac{d y}{d x} + 3 y = x^{2}$
74993	Solve the Differential Equation	y''''=4/( 16-x^2) 의 제곱근	$y'' = \frac{4}{\sqrt{16 - x^{2}}}$
74994	Solve the Differential Equation	(du)/(dt)=(1+u)(4+t)	$\frac{d u}{d t} = (1 + u) (4 + t)$
74995	Solve the Differential Equation	(dy)/(dx) = square root of x+4	$\frac{d y}{d x} = \sqrt{x + 4}$
74996	Solve the Differential Equation	(dp)/(dt)-1/tp=t^2+3t-2	$\frac{d p}{d t} - \frac{1}{t} p = t^{2} + 3 t - 2$
74997	Solve the Differential Equation	(dy)/(dx)=(ycos(x))/(1+2y^2) , y(0)=1	$\frac{d y}{d x} = \frac{y \cos (x)}{1 + 2 y^{2}}$ , $y (0) = 1$
74998	Solve the Differential Equation	x(dy)/(dx)=x^2+2x-3	$x \frac{d y}{d x} = x^{2} + 2 x - 3$
74999	Solve the Differential Equation	(dy)/(dx)=6x-2	$\frac{d y}{d x} = 6 x - 2$
75000	Solve the Differential Equation	x(dy)/(dx)=2x+3y	$x \frac{d y}{d x} = 2 x + 3 y$