Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
73401	Solve the Differential Equation	y''''+y=2x	$y'' + y = 2 x$
73402	Solve the Differential Equation	dy+7xdx=0	$d y + 7 x d x = 0$
73403	Solve the Differential Equation	y''''=25+y^2	$y'' = 25 + y^{2}$
73404	Solve the Differential Equation	x^3dx+y^3dy=0	$x^{3} d x + y^{3} d y = 0$
73405	Solve the Differential Equation	4e^(4y)y''''=2xe^(3x)+3e^(4y)	$4 e^{4 y} y'' = 2 x e^{3 x} + 3 e^{4 y}$
73406	Solve the Differential Equation	(dy)/(dx)+e^(x+y)=0	$\frac{d y}{d x} + e^{x + y} = 0$
73407	Solve the Differential Equation	y''''''''+2y''''+y=x	$y'''' + 2 y'' + y = x$
73408	Solve the Differential Equation	x(dy)/(dx)+3(y+x^2)=(sin(x))/x	$x \frac{d y}{d x} + 3 (y + x^{2}) = \frac{\sin (x)}{x}$
73409	Solve the Differential Equation	3+5y''''=0	$3 + 5 y'' = 0$
73410	Solve the Differential Equation	x(dy)/(dx)+y=x^2	$x \frac{d y}{d x} + y = x^{2}$
73411	Solve the Differential Equation	y''''-3/(x^2)y=1/(x^2)	$y'' - \frac{3}{x^{2}} y = \frac{1}{x^{2}}$
73412	Solve the Differential Equation	5x^2(yd)x+(x^3+y^3)dy=0	$5 x^{2} yd x + (x^{3} + y^{3}) d y = 0$
73413	Solve the Differential Equation	(dx)/(dt)=a(1/5-x/500)	$\frac{d x}{d t} = a (\frac{1}{5} - \frac{x}{500})$
73414	Solve the Differential Equation	(dy)/(dx)=-2x+1	$\frac{d y}{d x} = - 2 x + 1$
73415	Solve the Differential Equation	(dy)/(dx)-3x^2y=0	$\frac{d y}{d x} - 3 x^{2} y = 0$
73416	Solve the Differential Equation	2(yd)x+(y^2-6x)dy=0	$2 yd x + (y^{2} - 6 x) d y = 0$
73417	Solve the Differential Equation	(1+x^2)dy+2x(yd)x=0	$(1 + x^{2}) d y + 2 x yd x = 0$
73418	Solve the Differential Equation	x(d^2y)/(dx^2)+2(dy)/(dx)=6x	$x \frac{d^{2} y}{d x^{2}} + 2 \frac{d y}{d x} = 6 x$
73419	Solve the Differential Equation	t(du)/(dt)=t^2+3u	$t \frac{d u}{d t} = t^{2} + 3 u$
73420	Solve the Differential Equation	y''''=5	$y'' = 5$
73421	Solve the Differential Equation	y''''=y/t	$y'' = \frac{y}{t}$
73422	Solve the Differential Equation	y''''+2xy^2=0	$y'' + 2 x y^{2} = 0$
73423	Solve the Differential Equation	(e^(2x)+4)(dy)/(dx)=y	$(e^{2 x} + 4) \frac{d y}{d x} = y$
73424	Solve the Differential Equation	3xy(dy)/(dx)=4x^2+9y^2	$3 x y \frac{d y}{d x} = 4 x^{2} + 9 y^{2}$
73425	Solve the Differential Equation	y''''''''-9y=54	$y'''' - 9 y = 54$
73426	Solve the Differential Equation	xy''''-y=2x x 의 자연로그	$x y'' - y = 2 x \ln (x)$
73427	Solve the Differential Equation	(dx)/(dt)=6x	$\frac{d x}{d t} = 6 x$
73428	Solve the Differential Equation	y''''+y=xy^2	$y'' + y = x y^{2}$
73429	Solve the Differential Equation	(dy)/(dx)=-4e^(x+8) , y(-8)=4	$\frac{d y}{d x} = - 4 e^{x + 8}$ , $y (- 8) = 4$
73430	Solve the Differential Equation	y''''=4e^(-x)cos(x)	$y'' = 4 e^{- x} \cos (x)$
73431	Solve the Differential Equation	(dy)/(dx)=(8y^2)/x	$\frac{d y}{d x} = \frac{8 y^{2}}{x}$
73432	Solve the Differential Equation	y''''''''+4y''''=0	$y'''' + 4 y'' = 0$
73433	Solve the Differential Equation	e^x(yd)y-(e^(-y)+e^(2x-y))dx=0	$e^{x} yd y - (e^{- y} + e^{2 x - y}) d x = 0$
73434	Solve the Differential Equation	y''''=sin(2x)	$y'' = \sin (2 x)$
73435	Solve the Differential Equation	x(y^2-4)dx+ydy=0	$x (y^{2} - 4) d x + yd y = 0$
73436	Solve the Differential Equation	y''''-2xy=e^(x^2)	$y'' - 2 x y = e^{x^{2}}$
73437	Solve the Differential Equation	y''''-3x^4y=0	$y'' - 3 x^{4} y = 0$
73438	Solve the Differential Equation	(6xy+2y^2-5)dx+(3x^2+4xy-6)dy=0	$(6 x y + 2 y^{2} - 5) d x + (3 x^{2} + 4 x y - 6) d y = 0$
73439	Solve the Differential Equation	y''''''''+y=sin(2x)	$y'''' + y = \sin (2 x)$
73440	Solve the Differential Equation	(dy)/(dx)=3x^2(y+1)	$\frac{d y}{d x} = 3 x^{2} (y + 1)$
73441	Solve the Differential Equation	(6xy)dx+(4y+9x^2)dy=0	$(6 x y) d x + (4 y + 9 x^{2}) d y = 0$
73442	Solve the Differential Equation	x(dy)/(dx)+5y-x^2=0	$x \frac{d y}{d x} + 5 y - x^{2} = 0$
73443	Solve the Differential Equation	(dx)/(dy)+x/(1-y^2)=0	$\frac{d x}{d y} + \frac{x}{1 - y^{2}} = 0$
73444	Solve the Differential Equation	f(x)=\|x\|	$f (x) = \| x \|$
73445	Solve the Differential Equation	(2x+4y)dx+(4x-6y)dy=0	$(2 x + 4 y) d x + (4 x - 6 y) d y = 0$
73446	Solve the Differential Equation	(dy)/(dx)+y=e^xy^2	$\frac{d y}{d x} + y = e^{x} y^{2}$
73447	Solve the Differential Equation	x(dy)/(dx)+y=x^3y^6	$x \frac{d y}{d x} + y = x^{3} y^{6}$
73448	Solve the Differential Equation	(dy)/(dx)=2x+e^x	$\frac{d y}{d x} = 2 x + e^{x}$
73449	Solve the Differential Equation	(4x-3y)dx+(2y-3x)dy=0	$(4 x - 3 y) d x + (2 y - 3 x) d y = 0$
73450	Solve the Differential Equation	x^2(dy)/(dx)=y^2	$x^{2} \frac{d y}{d x} = y^{2}$
73451	Solve the Differential Equation	y''''''''-y''''-2y=4x^2	$y'''' - y'' - 2 y = 4 x^{2}$
73452	Solve the Differential Equation	xy''''=y+2xe^(-y/x)	$x y'' = y + 2 x e^{- \frac{y}{x}}$
73453	Solve the Differential Equation	y''''=e^(y-x)	$y'' = e^{y - x}$
73454	Solve the Differential Equation	(dy)/(dt)=y^2	$\frac{d y}{d t} = y^{2}$
73455	Solve the Differential Equation	2xyy''''=y^2-x^2	$2 x y y'' = y^{2} - x^{2}$
73456	Solve the Differential Equation	(dy)/(dx)=y/(x-3)	$\frac{d y}{d x} = \frac{y}{x - 3}$
73457	Solve the Differential Equation	(x^2+y^2+x)dx+(xy)dy=0	$(x^{2} + y^{2} + x) d x + (x y) d y = 0$
73458	Solve the Differential Equation	y''''-y=1	$y'' - y = 1$
73459	Solve the Differential Equation	xy''''-y=x^3y^4	$x y'' - y = x^{3} y^{4}$
73460	Solve the Differential Equation	(dy)/(dx)=(16x+y)^2	$\frac{d y}{d x} = {(16 x + y)}^{2}$
73461	Solve the Differential Equation	(dy)/(dx)=5x^-6	$\frac{d y}{d x} = 5 x^{- 6}$
73462	Solve the Differential Equation	cos(x)(dy)/(dx)+(sin(x))y=1	$\cos (x) \frac{d y}{d x} + (\sin (x)) y = 1$
73463	Solve the Differential Equation	3x(xy-2)dx+(x^2+2y)dy=0	$3 x (x y - 2) d x + (x^{2} + 2 y) d y = 0$
73464	Solve the Differential Equation	(dy)/(dx)=y+10	$\frac{d y}{d x} = y + 10$
73465	Solve the Differential Equation	L(di)/(dt)+Ri=E	$L \frac{d i}{d t} + R i = E$
73466	Solve the Differential Equation	y''''=((e^t)/y)^2	$y'' = {(\frac{e^{t}}{y})}^{2}$
73467	Solve the Differential Equation	e^y(dy)/(dx)=1	$e^{y} \frac{d y}{d x} = 1$
73468	Solve the Differential Equation	2x+2yy''''=0	$2 x + 2 y y'' = 0$
73469	Solve the Differential Equation	y''''=y+x	$y'' = y + x$
73470	Solve the Differential Equation	(dy)/(dx)=x/y , y(0)=-4	$\frac{d y}{d x} = \frac{x}{y}$ , $y (0) = - 4$
73471	Solve the Differential Equation	y''''=-3y	$y'' = - 3 y$
73472	Solve the Differential Equation	(y-1/y)dx+(x+x/(y^2))dy=0	$(y - \frac{1}{y}) d x + (x + \frac{x}{y^{2}}) d y = 0$
73473	Solve the Differential Equation	(ds)/(dt)=((2t+1)(2s-1))/(2(t^2+t))	$\frac{d s}{d t} = \frac{(2 t + 1) (2 s - 1)}{2 (t^{2} + t)}$
73474	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$
73475	Solve the Differential Equation	(dr)/(dp)=10sin(p)	$\frac{d r}{d p} = 10 \sin (p)$
73476	Solve the Differential Equation	(dy)/(dx)=-8y	$\frac{d y}{d x} = - 8 y$
73477	Solve the Differential Equation	y(dy)/(dx)=-x	$y \frac{d y}{d x} = - x$
73478	Solve the Differential Equation	(dy)/(dx)=(x+y-7)^2	$\frac{d y}{d x} = {(x + y - 7)}^{2}$
73479	Solve the Differential Equation	2xdy+ydx=9x^5dx	$2 x d y + yd x = 9 x^{5} d x$
73480	Solve the Differential Equation	(dy)/(dx)+3y=e^x	$\frac{d y}{d x} + 3 y = e^{x}$
73481	Solve the Differential Equation	(e^x+1)dx+(y^2-1)/(y^2)dy=0	$(e^{x} + 1) d x + \frac{y^{2} - 1}{y^{2}} d y = 0$
73482	Solve the Differential Equation	y''''+y=xy^4	$y'' + y = x y^{4}$
73483	Solve the Differential Equation	(dy)/(dx)=(3x^2)/(e^y)	$\frac{d y}{d x} = \frac{3 x^{2}}{e^{y}}$
73484	Solve the Differential Equation	(dy)/(dx)=(y^2)/(x-1)	$\frac{d y}{d x} = \frac{y^{2}}{x - 1}$
73485	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=10	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 10$
73486	Solve the Differential Equation	(ds)/(dt)=8sin(t-pi/12)^2 , s(0)=3	$\frac{d s}{d t} = 8 \sin^{2} (t - \frac{π}{12})$ , $s (0) = 3$
73487	Solve the Differential Equation	(2x-2y-1)dx-(x-y+1)dy=0	$(2 x - 2 y - 1) d x - (x - y + 1) d y = 0$
73488	Solve the Differential Equation	(x+1)(dy)/(dx)=x(y^2+1)	$(x + 1) \frac{d y}{d x} = x (y^{2} + 1)$
73489	Solve the Differential Equation	(x+3y-4)dx+(x+4y-5)dy=0	$(x + 3 y - 4) d x + (x + 4 y - 5) d y = 0$
73490	Solve the Differential Equation	x x^2+1-ye^y(dy)/(dx)=0 의 제곱근	$x \sqrt{x^{2} + 1} - y e^{y} \frac{d y}{d x} = 0$
73491	Solve the Differential Equation	(dF)/(dx)=-3x+4e^x , F(0)=17	$\frac{d F}{d x} = - 3 x + 4 e^{x}$ , $F (0) = 17$
73492	Solve the Differential Equation	(dy)/(dx)=3x^2cos(y)^2	$\frac{d y}{d x} = 3 x^{2} \cos^{2} (y)$
73493	Solve the Differential Equation	f(x)=x^2-sec(x)	$f (x) = x^{2} - \sec (x)$
73494	Solve the Differential Equation	(dy)/(dx)=((sec(x))/y)^2	$\frac{d y}{d x} = {(\frac{\sec (x)}{y})}^{2}$
73495	Solve the Differential Equation	(1+e^x)(dy)/(dx)+e^xy=0	$(1 + e^{x}) \frac{d y}{d x} + e^{x} y = 0$
73496	Solve the Differential Equation	y^2(dy)/(dx)+2xy^3=6x	$y^{2} \frac{d y}{d x} + 2 x y^{3} = 6 x$
73497	Solve the Differential Equation	(dy)/(dx)=x(y-1)^2	$\frac{d y}{d x} = x {(y - 1)}^{2}$
73498	Solve the Differential Equation	yy''''=2cos(x)	$y y'' = 2 \cos (x)$
73499	Solve the Differential Equation	(5-x)dy+(y+3)dx=0	$(5 - x) d y + (y + 3) d x = 0$
73500	Solve the Differential Equation	(1-x)dy+ydx=0	$(1 - x) d y + yd x = 0$