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인기 문제

순위	주제	문제	형식화된 문제
75301	Solve the Differential Equation	(xe^y+y-x^2)dy=(2xy-e^y-x)dx	$(x e^{y} + y - x^{2}) d y = (2 x y - e^{y} - x) d x$
75302	Solve the Differential Equation	y''''-4xy=0	$y'' - 4 x y = 0$
75303	Solve the Differential Equation	(dy)/(dx)=2x^3+12x^2-20x+8.5	$\frac{d y}{d x} = 2 x^{3} + 12 x^{2} - 20 x + 8.5$
75304	Solve the Differential Equation	(dy)/(dx) = natural log of x^y	$\frac{d y}{d x} = \ln (x^{y})$
75305	Solve the Differential Equation	(dy)/(dx)=2y^2x	$\frac{d y}{d x} = 2 y^{2} x$
75306	Solve the Differential Equation	(x+2y)dx+xdy=0	$(x + 2 y) d x + x d y = 0$
75307	Solve the Differential Equation	(y-1)^2y''''+3x=0	${(y - 1)}^{2} y'' + 3 x = 0$
75308	Solve the Differential Equation	(dy)/(dx)=x/(y'''')	$\frac{d y}{d x} = \frac{x}{y''}$
75309	Solve the Differential Equation	(dy)/(dx)=1/(2+x)	$\frac{d y}{d x} = \frac{1}{2 + x}$
75310	Solve the Differential Equation	y''''''''+2y''''+2y=x	$y'''' + 2 y'' + 2 y = x$
75311	Solve the Differential Equation	xdy-(yd)x=xdx	$x d y - yd x = x d x$
75312	Solve the Differential Equation	(dy)/(dx)+5xe^y=0	$\frac{d y}{d x} + 5 x e^{y} = 0$
75313	Solve the Differential Equation	(y^2+xy^2)(dy)/(dx)+x^2-x^2y=0	$(y^{2} + x y^{2}) \frac{d y}{d x} + x^{2} - x^{2} y = 0$
75314	Solve the Differential Equation	xdx+ye^(-x)dy=0	$x d x + y e^{- x} d y = 0$
75315	Solve the Differential Equation	(dy)/(dx)=9-x	$\frac{d y}{d x} = 9 - x$
75316	Solve the Differential Equation	(dc)/(dt)=-kc	$\frac{d c}{d t} = - k c$
75317	Solve the Differential Equation	2(dy)/(dx)+3y=e^(-x) , y(0)=5	$2 \frac{d y}{d x} + 3 y = e^{- x}$ , $y (0) = 5$
75318	Solve the Differential Equation	x(dy)/(dx)-y=x^2sin(3x)	$x \frac{d y}{d x} - y = x^{2} \sin (3 x)$
75319	Solve the Differential Equation	(dy)/(dx)=a(b-y)	$\frac{d y}{d x} = a (b - y)$
75320	Solve the Differential Equation	(dy)/(dx)+2/(20-x)y=4	$\frac{d y}{d x} + \frac{2}{20 - x} y = 4$
75321	Solve the Differential Equation	(dy)/(dx)=(y(x+1))/(2x)	$\frac{d y}{d x} = \frac{y (x + 1)}{2 x}$
75322	Solve the Differential Equation	xdx+ a^2-x^2dy=0 의 제곱근	$x d x + \sqrt{a^{2} - x^{2}} d y = 0$
75323	Solve the Differential Equation	y''''=(x^4)/16(e^(-y))	$y'' = \frac{x^{4}}{16} (e^{- y})$
75324	Solve the Differential Equation	y''''=(y^2)/(x^3)	$y'' = \frac{y^{2}}{x^{3}}$
75325	Solve the Differential Equation	(dy)/(dx)=12x^2	$\frac{d y}{d x} = 12 x^{2}$
75326	Solve the Differential Equation	(dy)/(dx)=(2x^2+y^2)/(3x^2+2xy)	$\frac{d y}{d x} = \frac{2 x^{2} + y^{2}}{3 x^{2} + 2 x y}$
75327	Solve the Differential Equation	y''''=(x^8)/y	$y'' = \frac{x^{8}}{y}$
75328	Solve the Differential Equation	(dy)/(dx)=(4x^3)/(3y)	$\frac{d y}{d x} = \frac{4 x^{3}}{3 y}$
75329	Solve the Differential Equation	y''''=(3x^2+4x+2)/(2(y-1))	$y'' = \frac{3 x^{2} + 4 x + 2}{2 (y - 1)}$
75330	Solve the Differential Equation	1/x(dy)/(dx)+3xy=sin(x)	$\frac{1}{x} \cdot \frac{d y}{d x} + 3 x y = \sin (x)$
75331	Solve the Differential Equation	(dy)/(dx)=xy-2y+x-2	$\frac{d y}{d x} = x y - 2 y + x - 2$
75332	Solve the Differential Equation	(dy)/(dx)=12 xy 의 제곱근	$\frac{d y}{d x} = 12 \sqrt{x y}$
75333	Solve the Differential Equation	y''''=x+1	$y'' = x + 1$
75334	Solve the Differential Equation	(dy)/(dx) = square root of 3xy+5y	$\frac{d y}{d x} = \sqrt{3 x y + 5 y}$
75335	Solve the Differential Equation	x^2y''''+2xy = natural log of x	$x^{2} y'' + 2 x y = \ln (x)$
75336	Solve the Differential Equation	(dy)/(dx)=y-6	$\frac{d y}{d x} = y - 6$
75337	Solve the Differential Equation	(dy)/(dx)=( x)/x 의 자연로그	$\frac{d y}{d x} = \frac{\ln (x)}{x}$
75338	Solve the Differential Equation	f(x)=x^3(x+8)	$f (x) = x^{3} (x + 8)$
75339	Solve the Differential Equation	(dy)/(dx)=6x^2-8x	$\frac{d y}{d x} = 6 x^{2} - 8 x$
75340	Solve the Differential Equation	y'''' = square root of x-y	$y'' = \sqrt{x - y}$
75341	Solve the Differential Equation	xy''''-4y=0	$x y'' - 4 y = 0$
75342	Solve the Differential Equation	y''''''''+2y''''+y=t	$y'''' + 2 y'' + y = t$
75343	Solve the Differential Equation	xy''''=(1-y^2)^(1/2)	$x y'' = {(1 - y^{2})}^{\frac{1}{2}}$
75344	Solve the Differential Equation	(dy)/(dx)=(e^ysin(x))/(cos(x)^2)	$\frac{d y}{d x} = \frac{e^{y} \sin (x)}{\cos^{2} (x)}$
75345	Solve the Differential Equation	xy+y^2-x^2y''''=0	$x y + y^{2} - x^{2} y'' = 0$
75346	Solve the Differential Equation	(dy)/(dx)=(ax+b)/(cx+d)	$\frac{d y}{d x} = \frac{a x + b}{c x + d}$
75347	Solve the Differential Equation	y''''=y(y-1)	$y'' = y (y - 1)$
75348	Solve the Differential Equation	(dx)/(dt)=r-kx	$\frac{d x}{d t} = r - k x$
75349	Solve the Differential Equation	(t^2-yt^2)(dy)/(dt)+y^2+t*y^2=0	$(t^{2} - y t^{2}) \frac{d y}{d t} + y^{2} + t \cdot y^{2} = 0$
75350	Solve the Differential Equation	3x^2( y)dx+(x^2)/ydy=0 의 자연로그	$3 x^{2} (\ln (y)) d x + \frac{x^{2}}{y} d y = 0$
75351	Solve the Differential Equation	(y^3+sin(y))dy=x^2dx	$(y^{3} + \sin (y)) d y = x^{2} d x$
75352	Solve the Differential Equation	(du)/(dx)=7x^6-6x^5+5	$\frac{d u}{d x} = 7 x^{6} - 6 x^{5} + 5$
75353	Solve the Differential Equation	(dy)/(dx)=-y+x^2	$\frac{d y}{d x} = - y + x^{2}$
75354	Solve the Differential Equation	(dy)/(dx)=3x^(1/3)	$\frac{d y}{d x} = 3 x^{\frac{1}{3}}$
75355	Solve the Differential Equation	x(dy)/(dx)+3y=x^-2	$x \frac{d y}{d x} + 3 y = x^{- 2}$
75356	Solve the Differential Equation	(ds)/(dt)=cos(t)-sin(t) , s(pi/2)=11	$\frac{d s}{d t} = \cos (t) - \sin (t)$ , $s (\frac{π}{2}) = 11$
75357	Solve the Differential Equation	(dy)/(dt)+2y=5 , y(0)=1	$\frac{d y}{d t} + 2 y = 5$ , $y (0) = 1$
75358	Solve the Differential Equation	x^2y''''''''-5xy''''+8y=8x^6	$x^{2} y'''' - 5 x y'' + 8 y = 8 x^{6}$
75359	Solve the Differential Equation	(dy)/(dx)=(x(e^(x^2)+2))/(6y^2)	$\frac{d y}{d x} = \frac{x (e^{x^{2}} + 2)}{6 y^{2}}$
75360	Solve the Differential Equation	(dy)/(dx)=-2x^3y	$\frac{d y}{d x} = - 2 x^{3} y$
75361	Solve the Differential Equation	y''''+1/3y=1/3(1-2x)y^4	$y'' + \frac{1}{3} y = \frac{1}{3} (1 - 2 x) y^{4}$
75362	Solve the Differential Equation	y''''+3y+5=0	$y'' + 3 y + 5 = 0$
75363	Solve the Differential Equation	(dy)/(dx)=2cos(x)	$\frac{d y}{d x} = 2 \cos (x)$
75364	Solve the Differential Equation	y''''-2y''''-3y=4e^x	$y'' - 2 y'' - 3 y = 4 e^{x}$
75365	Solve the Differential Equation	(dy)/(dx)=(e^x+2)^2	$\frac{d y}{d x} = {(e^{x} + 2)}^{2}$
75366	Solve the Differential Equation	(dy)/(dx)+x^2y=x^2	$\frac{d y}{d x} + x^{2} y = x^{2}$
75367	Solve the Differential Equation	y''''-y''''=x	$y'' - y'' = x$
75368	Solve the Differential Equation	(dy)/((d)x)=(cos(x))/(cos(x)-1)	$\frac{d y}{(d) x} = \frac{\cos (x)}{\cos (x) - 1}$
75369	Solve the Differential Equation	2x(yd)x+(x^2-y)dy=0	$2 x yd x + (x^{2} - y) d y = 0$
75370	Solve the Differential Equation	(dx)/(dt)+xt=e^x	$\frac{d x}{d t} + x t = e^{x}$
75371	Solve the Differential Equation	(dy)/(dx)=x^2e^(y-x)	$\frac{d y}{d x} = x^{2} e^{y - x}$
75372	Solve the Differential Equation	3y''''''''+5y''''+4y=0	$3 y'''' + 5 y'' + 4 y = 0$
75373	Solve the Differential Equation	(dy)/(dx)+ycot(x)=5e^(cos(x))	$\frac{d y}{d x} + y \cot (x) = 5 e^{\cos (x)}$
75374	Solve the Differential Equation	(dy)/(dx)=xy-x	$\frac{d y}{d x} = x y - x$
75375	Solve the Differential Equation	(dY)/(dx)=-40x^7	$\frac{d Y}{d x} = - 40 x^{7}$
75376	Solve the Differential Equation	(dy)/(dx)-x^2y^3=0	$\frac{d y}{d x} - x^{2} y^{3} = 0$
75377	Solve the Differential Equation	2x(dy)/(dx)=x+3y	$2 x \frac{d y}{d x} = x + 3 y$
75378	Solve the Differential Equation	y''''=y/t+12/(t^2)	$y'' = \frac{y}{t} + \frac{12}{t^{2}}$
75379	Solve the Differential Equation	(dy)/(dx)=(36x)/(e^y)	$\frac{d y}{d x} = \frac{36 x}{e^{y}}$
75380	Solve the Differential Equation	y''''=3x+y	$y'' = 3 x + y$
75381	Solve the Differential Equation	(du)/(dt)=e^(5u+10t)	$\frac{d u}{d t} = e^{5 u + 10 t}$
75382	Solve the Differential Equation	(dy)/(dx)=5/((x+2)^2e^(y-1))	$\frac{d y}{d x} = \frac{5}{{(x + 2)}^{2} e^{y - 1}}$
75383	Solve the Differential Equation	y''''=(y^2)/x	$y'' = \frac{y^{2}}{x}$
75384	Solve the Differential Equation	(dy)/(dx)=(4x+y)^2	$\frac{d y}{d x} = {(4 x + y)}^{2}$
75385	Solve the Differential Equation	(1+xy)dx-(1+x^2)dy=0	$(1 + x y) d x - (1 + x^{2}) d y = 0$
75386	Solve the Differential Equation	xy^3y''''=2y^4+x^4	$x y^{3} y'' = 2 y^{4} + x^{4}$
75387	Solve the Differential Equation	y''''=2x^2+4x	$y'' = 2 x^{2} + 4 x$
75388	Solve the Differential Equation	(4x+5y)dx+(x-4y)dy=0	$(4 x + 5 y) d x + (x - 4 y) d y = 0$
75389	Solve the Differential Equation	2y''''-y''''=0	$2 y'' - y'' = 0$
75390	Solve the Differential Equation	xdy=(y+2x^3)dx	$x d y = (y + 2 x^{3}) d x$
75391	Solve the Differential Equation	y''''=y^2+3y-4	$y'' = y^{2} + 3 y - 4$
75392	Solve the Differential Equation	xy^2(dy)/(dx)=x+1	$x y^{2} \frac{d y}{d x} = x + 1$
75393	Solve the Differential Equation	y^2dx+(2yx+1)dy=0	$y^{2} d x + (2 y x + 1) d y = 0$
75394	Solve the Differential Equation	(dx)/( 제곱근 x^2+y^2)+(1/y-x/(y 제곱근 x^2+y^2))dy=0	$\frac{d x}{\sqrt{x^{2} + y^{2}}} + (\frac{1}{y} - \frac{x}{y \sqrt{x^{2} + y^{2}}}) d y = 0$
75395	Solve the Differential Equation	(3x+2)dy+(y+2)dx=0	$(3 x + 2) d y + (y + 2) d x = 0$
75396	Solve the Differential Equation	(2x-3y)dx-(3x+y)dy=0	$(2 x - 3 y) d x - (3 x + y) d y = 0$
75397	Solve the Differential Equation	xy''''+y=y^-2	$x y'' + y = y^{- 2}$
75398	Solve the Differential Equation	f(x)=2^90	$f (x) = 2^{90}$
75399	Solve the Differential Equation	(x^2-y^2+x)dx+x(2y-1)dy=0	$(x^{2} - y^{2} + x) d x + x (2 y - 1) d y = 0$
75400	Solve the Differential Equation	(dy)/(dx)=x^5	$\frac{d y}{d x} = x^{5}$