Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
78501	Solve the Differential Equation	(dy)/(dx)=2e^(x-1)	$\frac{d y}{d x} = 2 e^{x - 1}$
78502	Solve the Differential Equation	(dy)/(dx)=(5x)/(9y)	$\frac{d y}{d x} = \frac{5 x}{9 y}$
78503	Solve the Differential Equation	6x-8y x^2+1(dy)/(dx)=0 의 제곱근	$6 x - 8 y \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
78504	Solve the Differential Equation	(x^3+4y)dx+(4y^2+4x)dy=0	$(x^{3} + 4 y) d x + (4 y^{2} + 4 x) d y = 0$
78505	Solve the Differential Equation	y''''=(y-1)(y+1)	$y'' = (y - 1) (y + 1)$
78506	Solve the Differential Equation	(dE)/(dt)=35-12t	$\frac{d E}{d t} = 35 - 12 t$
78507	Solve the Differential Equation	2y''''''''+y''''+y=x	$2 y'''' + y'' + y = x$
78508	Solve the Differential Equation	(dy)/(dx)=(6y^2)/(x^2)	$\frac{d y}{d x} = \frac{6 y^{2}}{x^{2}}$
78509	Solve the Differential Equation	f(x)=6x^2	$f (x) = 6 x^{2}$
78510	Solve the Differential Equation	2xy(dy)/(dx)-y^2+x^2=0	$2 x y \frac{d y}{d x} - y^{2} + x^{2} = 0$
78511	Solve the Differential Equation	(x-2y+4)dx+(2x-4y-6)dy=0	$(x - 2 y + 4) d x + (2 x - 4 y - 6) d y = 0$
78512	Solve the Differential Equation	(dy)/(dx)=ky^2 x 의 자연로그	$\frac{d y}{d x} = k y^{2} \ln (x)$
78513	Solve the Differential Equation	(dy)/(dt)=3e^(3t)sin(e^(3t)-125) , y( 5)=0 의 자연로그	$\frac{d y}{d t} = 3 e^{3 t} \sin (e^{3 t} - 125)$ , $y (\ln (5)) = 0$
78514	Solve the Differential Equation	(dy)/(dx)=e^(2x)-3x	$\frac{d y}{d x} = e^{2 x} - 3 x$
78515	Solve the Differential Equation	(dy)/(dx)=4sin(x)	$\frac{d y}{d x} = 4 \sin (x)$
78516	Solve the Differential Equation	(1+x^2)(dy)/(dx)-(4x^3y)/(1-x^2)=1	$(1 + x^{2}) \frac{d y}{d x} - \frac{4 x^{3} y}{1 - x^{2}} = 1$
78517	Solve the Differential Equation	(dy)/(dx)=(y+1)^2	$\frac{d y}{d x} = {(y + 1)}^{2}$
78518	Solve the Differential Equation	(dy)/(dx)=2e^xy^2	$\frac{d y}{d x} = 2 e^{x} y^{2}$
78519	Solve the Differential Equation	(dy)/(dx)=8+1/x , y(1)=9	$\frac{d y}{d x} = 8 + \frac{1}{x}$ , $y (1) = 9$
78520	Solve the Differential Equation	y''''''''+67y''''=e^x	$y'''' + 67 y'' = e^{x}$
78521	Solve the Differential Equation	x^4(dy)/(dx)+x^3y=-sec(xy)	$x^{4} \frac{d y}{d x} + x^{3} y = - \sec (x y)$
78522	Solve the Differential Equation	(dy)/(dx)=6x+7	$\frac{d y}{d x} = 6 x + 7$
78523	Solve the Differential Equation	y''''=7/(2 t) 의 제곱근	$y'' = \frac{7}{2 \sqrt{t}}$
78524	Solve the Differential Equation	(dy)/(dx)=(6x^5-2x+1)/(cos(y)+e^y)	$\frac{d y}{d x} = \frac{6 x^{5} - 2 x + 1}{\cos (y) + e^{y}}$
78525	Solve the Differential Equation	x^2y''''+xy''''+y=0	$x^{2} y'' + x y'' + y = 0$
78526	Solve the Differential Equation	(dy)/(dx)=12sin(x)^2cos(x) , y(0)=4	$\frac{d y}{d x} = 12 \sin^{2} (x) \cos (x)$ , $y (0) = 4$
78527	Solve the Differential Equation	(dy)/(dx)=(8x^2)/( 1+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{8 x^{2}}{\sqrt{1 + x^{3}}}$
78528	Solve the Differential Equation	x xy''''+y=3x^2 의 자연로그	$x \ln (x) y'' + y = 3 x^{2}$
78529	Solve the Differential Equation	(y-xy^2)dx-(x+x^2y)dy=0	$(y - x y^{2}) d x - (x + x^{2} y) d y = 0$
78530	Solve the Differential Equation	(x+2y-1)dx-(2x+y+5)dy=0	$(x + 2 y - 1) d x - (2 x + y + 5) d y = 0$
78531	Solve the Differential Equation	F(x)=x^4	$F (x) = x^{4}$
78532	Solve the Differential Equation	(y^2+1)dx+(x^2+1)dy=0	$(y^{2} + 1) d x + (x^{2} + 1) d y = 0$
78533	Solve the Differential Equation	y''''-y=5	$y'' - y = 5$
78534	Solve the Differential Equation	(dy)/(dx)=3x^(1/7)	$\frac{d y}{d x} = 3 x^{\frac{1}{7}}$
78535	Solve the Differential Equation	(ycos(x)+2xe^y)+(sin(x)+x^2e^y-1)(dy)/(dx)=0	$(y \cos (x) + 2 x e^{y}) + (\sin (x) + x^{2} e^{y} - 1) \frac{d y}{d x} = 0$
78536	Solve the Differential Equation	(dy)/(dx)=6x^2y-5xy	$\frac{d y}{d x} = 6 x^{2} y - 5 x y$
78537	Solve the Differential Equation	(dv)/(dt)=16t-sec(t)^2 , v(pi)=-3	$\frac{d v}{d t} = 16 t - \sec^{2} (t)$ , $v (π) = - 3$
78538	Solve the Differential Equation	2(12)(0.5)+2(5)(dy)/(dt)=0	$2 (12) (0.5) + 2 (5) \frac{d y}{d t} = 0$
78539	Solve the Differential Equation	x^2(dy)/(dx)-y^2=0	$x^{2} \frac{d y}{d x} - y^{2} = 0$
78540	Solve the Differential Equation	y''''''''+(1/x)y''''=0	$y'''' + (\frac{1}{x}) y'' = 0$
78541	Solve the Differential Equation	(dy)/(dx)=x^-2y^-2	$\frac{d y}{d x} = x^{- 2} y^{- 2}$
78542	Solve the Differential Equation	(dy)/(dx)=2yx	$\frac{d y}{d x} = 2 y x$
78543	Solve the Differential Equation	y''''+2xy=13x	$y'' + 2 x y = 13 x$
78544	Solve the Differential Equation	(d^2y)/(dx^2)+2(dy)/(dx)-8y=-16x+12+9e^(-x)	$\frac{d^{2} y}{d x^{2}} + 2 \frac{d y}{d x} - 8 y = - 16 x + 12 + 9 e^{- x}$
78545	Solve the Differential Equation	(ds)/(dt)=5t+cos(t) , s(0)=-2	$\frac{d s}{d t} = 5 t + \cos (t)$ , $s (0) = - 2$
78546	Solve the Differential Equation	(dF)/(dx)=-5x^2-5e^x , F(0)=-9	$\frac{d F}{d x} = - 5 x^{2} - 5 e^{x}$ , $F (0) = - 9$
78547	Solve the Differential Equation	(y^2-1)(dy)/(dx)=4xy^2	$(y^{2} - 1) \frac{d y}{d x} = 4 x y^{2}$
78548	Solve the Differential Equation	(xdy)/(dx)+2y=x^2	$\frac{x d y}{d x} + 2 y = x^{2}$
78549	Solve the Differential Equation	y''''=y-x^2	$y'' = y - x^{2}$
78550	Solve the Differential Equation	3(d^2y)/(dt^2)+4(dy)/(dt)-y=0	$3 \frac{d^{2} y}{d t^{2}} + 4 \frac{d y}{d t} - y = 0$
78551	Solve the Differential Equation	(dy)/(dx)+ytan(x)=y^2sec(x)	$\frac{d y}{d x} + y \tan (x) = y^{2} \sec (x)$
78552	Solve the Differential Equation	(x-3)(dy)/(dx)+y=5e^x	$(x - 3) \frac{d y}{d x} + y = 5 e^{x}$
78553	Solve the Differential Equation	(dy)/(dx)=8-y	$\frac{d y}{d x} = 8 - y$
78554	Solve the Differential Equation	(1-x)dy-(yd)x=0	$(1 - x) d y - yd x = 0$
78555	Solve the Differential Equation	(dy)/(dx)=6x 4-y^2 의 제곱근	$\frac{d y}{d x} = 6 x \sqrt{4 - y^{2}}$
78556	Solve the Differential Equation	(du)/(dt)=e^(6u+2t)	$\frac{d u}{d t} = e^{6 u + 2 t}$
78557	Solve the Differential Equation	x(dy)/(dx)-6y=x^4	$x \frac{d y}{d x} - 6 y = x^{4}$
78558	Solve the Differential Equation	(dy)/(dx)=5x^(-3/4) , y(1)=10	$\frac{d y}{d x} = 5 x^{- \frac{3}{4}}$ , $y (1) = 10$
78559	Solve the Differential Equation	(dy)/(dx)=8sin(2x)	$\frac{d y}{d x} = 8 \sin (2 x)$
78560	Solve the Differential Equation	y''''+3y=x	$y'' + 3 y = x$
78561	Solve the Differential Equation	(x^3-2y)dx-2xdy=0	$(x^{3} - 2 y) d x - 2 x d y = 0$
78562	Solve the Differential Equation	(1+X)y''''+y=1+X	$(1 + X) y'' + y = 1 + X$
78563	Solve the Differential Equation	(dy)/(dx)=x^5 , y(0)=4	$\frac{d y}{d x} = x^{5}$ , $y (0) = 4$
78564	Solve the Differential Equation	3(3x^2+y^2)dx-2x^2dy=0	$3 (3 x^{2} + y^{2}) d x - 2 x^{2} d y = 0$
78565	Solve the Differential Equation	y-x(dy)/(dx)=4x^3	$y - x \frac{d y}{d x} = 4 x^{3}$
78566	Solve the Differential Equation	y''''+6/xy=3y^(4/3)	$y'' + \frac{6}{x} y = 3 y^{\frac{4}{3}}$
78567	Solve the Differential Equation	(dy)/(dx)=(x^2y^2)/(1-x)	$\frac{d y}{d x} = \frac{x^{2} y^{2}}{1 - x}$
78568	Solve the Differential Equation	2y-x(dy)/(dx)=3x^3	$2 y - x \frac{d y}{d x} = 3 x^{3}$
78569	Solve the Differential Equation	(dy)/(dx)=yx-x+4y-4	$\frac{d y}{d x} = y x - x + 4 y - 4$
78570	Solve the Differential Equation	xy''''''''+y''''+xy=0	$x y'''' + y'' + x y = 0$
78571	Solve the Differential Equation	dx+3x^2y^2dy=0	$d x + 3 x^{2} y^{2} d y = 0$
78572	Solve the Differential Equation	y''''''''''''-9y''''''''+15y''''+25y=0	$y'''''' - 9 y'''' + 15 y'' + 25 y = 0$
78573	Solve the Differential Equation	(dy)/(dt)=-4t	$\frac{d y}{d t} = - 4 t$
78574	Solve the Differential Equation	y''''=4-y	$y'' = 4 - y$
78575	Solve the Differential Equation	(du)/(dt)=e^(6u+10t)	$\frac{d u}{d t} = e^{6 u + 10 t}$
78576	Solve the Differential Equation	2y''''''''+3y''''+y=x^2 x 의 자연로그	$2 y'''' + 3 y'' + y = x^{2} \ln (x)$
78577	Solve the Differential Equation	5 xy(dy)/(dx)=3 의 제곱근	$5 \sqrt{x y} \frac{d y}{d x} = 3$
78578	Solve the Differential Equation	((dy)/(dx))^2+y=sin(x)	${(\frac{d y}{d x})}^{2} + y = \sin (x)$
78579	Solve the Differential Equation	(1-x^2)*cos(3y)dy-7dx=0	$(1 - x^{2}) \cdot \cos (3 y) d y - 7 d x = 0$
78580	Solve the Differential Equation	ydx+(x+y)dy=0	$yd x + (x + y) d y = 0$
78581	Solve the Differential Equation	y''''''''-3y=0	$y'''' - 3 y = 0$
78582	Solve the Differential Equation	y''''''''=sin(x)	$y'''' = \sin (x)$
78583	Solve the Differential Equation	x(xdy-(yd)x)=y^2 xdx 의 자연로그	$x (x d y - yd x) = y^{2} \ln (x d x)$
78584	Solve the Differential Equation	(dy)/(dx)=(y^2+1)/x	$\frac{d y}{d x} = \frac{y^{2} + 1}{x}$
78585	Solve the Differential Equation	2x(dy)/(dx)=x+y	$2 x \frac{d y}{d x} = x + y$
78586	Solve the Differential Equation	x^3(d^3y)/(dx^3)+2x^2(d^2y)/(dx^2)-x(dy)/(dx)+y=12x^2	$x^{3} \frac{d^{3} y}{d x^{3}} + 2 x^{2} \frac{d^{2} y}{d x^{2}} - x \frac{d y}{d x} + y = 12 x^{2}$
78587	Solve the Differential Equation	(dy)/(dx)=(11x^2)/( 3+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{11 x^{2}}{\sqrt{3 + x^{3}}}$
78588	Solve the Differential Equation	3y''''+3y=0	$3 y'' + 3 y = 0$
78589	Solve the Differential Equation	xy+y^2+x^2-x^2*(dy)/(dx)=0	$x y + y^{2} + x^{2} - x^{2} \cdot \frac{d y}{d x} = 0$
78590	Solve the Differential Equation	(dy)/(dx)=(2xy)/(2y-x^2)	$\frac{d y}{d x} = \frac{2 x y}{2 y - x^{2}}$
78591	Solve the Differential Equation	(dr)/(dt)=(2t+tr^2)/(4r+rt^2)	$\frac{d r}{d t} = \frac{2 t + t r^{2}}{4 r + r t^{2}}$
78592	Solve the Differential Equation	ydt+tdy=3t(yd)t	$yd t + t d y = 3 t yd t$
78593	Solve the Differential Equation	e^x(y-1)dx+2(e^x+4)dy=0	$e^{x} (y - 1) d x + 2 (e^{x} + 4) d y = 0$
78594	Solve the Differential Equation	y(y^3-x)dx+x(y^3+x)dy=0	$y (y^{3} - x) d x + x (y^{3} + x) d y = 0$
78595	Solve the Differential Equation	(y+2x)dy+dx=0	$(y + 2 x) d y + d x = 0$
78596	Solve the Differential Equation	(dy)/(dx)=(x(2 e^x)+1)/(sin(y)+ycos(y)) 의 로그	$\frac{d y}{d x} = \frac{x (2 \log (e^{x})) + 1}{\sin (y) + y \cos (y)}$
78597	Solve the Differential Equation	2x^2(yd)x=(3x^3+y^3)dy	$2 x^{2} yd x = (3 x^{3} + y^{3}) d y$
78598	Solve the Differential Equation	yy''''=xe^(y^-2)	$y y'' = x e^{y^{- 2}}$
78599	Solve the Differential Equation	(dy)/(dt)=-y/t+2	$\frac{d y}{d t} = - \frac{y}{t} + 2$
78600	Solve the Differential Equation	y''''-2xy=2x^3y^2	$y'' - 2 x y = 2 x^{3} y^{2}$