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인기 문제

순위	주제	문제	형식화된 문제
74301	Solve the Differential Equation	xy^2dx+(x^2y^2+x^2y)dy=0	$x y^{2} d x + (x^{2} y^{2} + x^{2} y) d y = 0$
74302	Solve the Differential Equation	(dy)/(dx)=-x/(ye^(x^2))	$\frac{d y}{d x} = - \frac{x}{y e^{x^{2}}}$
74303	Solve the Differential Equation	(dy)/(dx)=(9y^2)/x	$\frac{d y}{d x} = \frac{9 y^{2}}{x}$
74304	Verify the Differential Equation Solution	x(dy)/(dx)-y=2x^2y y=Axe^(x^2)	$x \frac{d y}{d x} - y = 2 x^{2} y$ $y = A x e^{x^{2}}$
74305	Solve the Differential Equation	(dy)/(dx)=6x^3	$\frac{d y}{d x} = 6 x^{3}$
74306	Solve the Differential Equation	4xdy-(yd)x=x^2dy	$4 x d y - yd x = x^{2} d y$
74307	Solve the Differential Equation	(e^x+1)(yd)y=(y+1)e^xdx	$(e^{x} + 1) yd y = (y + 1) e^{x} d x$
74308	Solve the Differential Equation	4(yd)x=5xdy	$4 yd x = 5 x d y$
74309	Solve the Differential Equation	y''''=-y+1	$y'' = - y + 1$
74310	Solve the Differential Equation	(d^4y)/(dx^4)+2(d^2y)/(dx^2)+y=0	$\frac{d^{4} y}{d x^{4}} + 2 \frac{d^{2} y}{d x^{2}} + y = 0$
74311	Solve the Differential Equation	(dx)/(dt)=(t-1)/(x^2-4x+4)	$\frac{d x}{d t} = \frac{t - 1}{x^{2} - 4 x + 4}$
74312	Solve the Differential Equation	(x^2-1)(dy)/(dx)+xy=x	$(x^{2} - 1) \frac{d y}{d x} + x y = x$
74313	Solve the Differential Equation	x^2y''''''''-7xy''''+16y=0	$x^{2} y'''' - 7 x y'' + 16 y = 0$
74314	Solve the Differential Equation	y''''=ycos(x)	$y'' = y \cos (x)$
74315	Solve the Differential Equation	f(x+y)dx+g(x+y)dy=0	$f (x + y) d x + g (x + y) d y = 0$
74316	Solve the Differential Equation	(dy)/(dx)=-1/(2y)	$\frac{d y}{d x} = - \frac{1}{2 y}$
74317	Solve the Differential Equation	(x^3-y^3)dx+3xy^2dy=0	$(x^{3} - y^{3}) d x + 3 x y^{2} d y = 0$
74318	Solve the Differential Equation	(dy)/(dx)=6x+7/x	$\frac{d y}{d x} = 6 x + \frac{7}{x}$
74319	Solve the Differential Equation	(dy)/(dx)=9e^(-3x)	$\frac{d y}{d x} = 9 e^{- 3 x}$
74320	Solve the Differential Equation	B(y)=cy^-6	$B (y) = c y^{- 6}$
74321	Solve the Differential Equation	(dy)/(dx)=6x-7 and y(6)=0	$\frac{d y}{d x} = 6 x - 7$ and $y (6) = 0$
74322	Solve the Differential Equation	(dy)/(dx)=2y+x	$\frac{d y}{d x} = 2 y + x$
74323	Solve the Differential Equation	f(x)=(x^2)/(x^2-4)	$f (x) = \frac{x^{2}}{x^{2} - 4}$
74324	Solve the Differential Equation	(dy)/(dx)=3x^2(1+y^2)	$\frac{d y}{d x} = 3 x^{2} (1 + y^{2})$
74325	Solve the Differential Equation	y^2(1-x^2)dx+x(x^2y+2x+y)dy=0	$y^{2} (1 - x^{2}) d x + x (x^{2} y + 2 x + y) d y = 0$
74326	Solve the Differential Equation	y''''-2y=2	$y'' - 2 y = 2$
74327	Solve the Differential Equation	(dy)/(dx)+y/x=4x	$\frac{d y}{d x} + \frac{y}{x} = 4 x$
74328	Solve the Differential Equation	(dy)/(dx)=4x^2y	$\frac{d y}{d x} = 4 x^{2} y$
74329	Solve the Differential Equation	9y(dy)/(dx)=5x^2	$9 y \frac{d y}{d x} = 5 x^{2}$
74330	Solve the Differential Equation	(1+x)y''''-xy=x+x^2	$(1 + x) y'' - x y = x + x^{2}$
74331	Solve the Differential Equation	ysin(x)^2dy-(yd)x=0	$y \sin^{2} (x) d y - yd x = 0$
74332	Solve the Differential Equation	(dy)/(dx)=ay+b	$\frac{d y}{d x} = a y + b$
74333	Solve the Differential Equation	5y(dy)/(dx)=4x^2	$5 y \frac{d y}{d x} = 4 x^{2}$
74334	Solve the Differential Equation	(dy)/(dt)=9y	$\frac{d y}{d t} = 9 y$
74335	Solve the Differential Equation	(y 자연로그 x+y)dx+(x 자연로그 x-e^y)dy=0	$(y \ln (x) + y) d x + (x \ln (x) - e^{y}) d y = 0$
74336	Solve the Differential Equation	(dy)/(dx)=y-x^2+1	$\frac{d y}{d x} = y - x^{2} + 1$
74337	Solve the Differential Equation	y''''''''=y''''	$y'''' = y''$
74338	Solve the Differential Equation	(dy)/(dx)=(2x^3)/y	$\frac{d y}{d x} = \frac{2 x^{3}}{y}$
74339	Solve the Differential Equation	(dy)/(dx)-2/xy=x^3	$\frac{d y}{d x} - \frac{2}{x} y = x^{3}$
74340	Solve the Differential Equation	(2xy^5-y)dx+2xdy=0	$(2 x y^{5} - y) d x + 2 x d y = 0$
74341	Solve the Differential Equation	(dy)/(dx) = square root of x+y-1	$\frac{d y}{d x} = \sqrt{x + y - 1}$
74342	Solve the Differential Equation	y''''+67y''''=e^x	$y'' + 67 y'' = e^{x}$
74343	Solve the Differential Equation	(dy)/(dx)=x-2ycot(2x)	$\frac{d y}{d x} = x - 2 y \cot (2 x)$
74344	Solve the Differential Equation	(dy)/(dx)=y x 의 제곱근	$\frac{d y}{d x} = y \sqrt{x}$
74345	Solve the Differential Equation	y''''=x(1+y)	$y'' = x (1 + y)$
74346	Solve the Differential Equation	t(dy)/(dt)+2y=t^2-t+1	$t \frac{d y}{d t} + 2 y = t^{2} - t + 1$
74347	Solve the Differential Equation	(dy)/(dx)=(x+y+3)^2	$\frac{d y}{d x} = {(x + y + 3)}^{2}$
74348	Solve the Differential Equation	(du)/(dv)=(3v 1+u^2)/u 의 제곱근	$\frac{d u}{d v} = \frac{3 v \sqrt{1 + u^{2}}}{u}$
74349	Solve the Differential Equation	x(y-3)(dy)/(dx)=4y	$x (y - 3) \frac{d y}{d x} = 4 y$
74350	Solve the Differential Equation	y(6y^2-x-1)dx+2xdy=0	$y (6 y^{2} - x - 1) d x + 2 x d y = 0$
74351	Solve the Differential Equation	(dc)/(dy)=1/( 2y+16)+0.6 의 제곱근	$\frac{d c}{d y} = \frac{1}{\sqrt{2 y + 16}} + 0.6$
74352	Solve the Differential Equation	(dy)/(dt)=-y/t	$\frac{d y}{d t} = - \frac{y}{t}$
74353	Solve the Differential Equation	(dy)/(dx)=4/(x-6) , y(7)=-2	$\frac{d y}{d x} = \frac{4}{x - 6}$ , $y (7) = - 2$
74354	Solve the Differential Equation	y''''=2te^(-6y)-e^(-6y) and y(0)=2	$y'' = 2 t e^{- 6 y} - e^{- 6 y}$ and $y (0) = 2$
74355	Solve the Differential Equation	8y(dy)/(dx)=5x^2	$8 y \frac{d y}{d x} = 5 x^{2}$
74356	Solve the Differential Equation	(dy)/(dx)=y^2+1 , y(1)=0	$\frac{d y}{d x} = y^{2} + 1$ , $y (1) = 0$
74357	Solve the Differential Equation	2yy''''=1	$2 y y'' = 1$
74358	Solve the Differential Equation	(df)/(dx)=8x+(5x)/( 4-x^2) 의 제곱근	$\frac{d f}{d x} = 8 x + \frac{5 x}{\sqrt{4 - x^{2}}}$
74359	Solve the Differential Equation	x^9+4y(dy)/(dx)=0	$x^{9} + 4 y \frac{d y}{d x} = 0$
74360	Solve the Differential Equation	xy''''+y=x^4y^3	$x y'' + y = x^{4} y^{3}$
74361	Solve the Differential Equation	(dy)/(dx)=4x^(1/5)	$\frac{d y}{d x} = 4 x^{\frac{1}{5}}$
74362	Solve the Differential Equation	(dy)/(dx)=cos(2x) , y(pi/2)=3	$\frac{d y}{d x} = \cos (2 x)$ , $y (\frac{π}{2}) = 3$
74363	Solve the Differential Equation	(dP)/(dt)=P(a-bP)	$\frac{d P}{d t} = P (a - b P)$
74364	Solve the Differential Equation	y''''+2y=x^2	$y'' + 2 y = x^{2}$
74365	Solve the Differential Equation	(dx)/(dy)=2/( 3)x^(3/2) 의 제곱근	$\frac{d x}{d y} = \frac{2}{\sqrt{3}} x^{\frac{3}{2}}$
74366	Solve the Differential Equation	x(yd)x-(x+2)dy=0	$x yd x - (x + 2) d y = 0$
74367	Solve the Differential Equation	(dy)/(dx)=(11e^x)/(e^y)	$\frac{d y}{d x} = \frac{11 e^{x}}{e^{y}}$
74368	Solve the Differential Equation	(dy)/(dx)=(y^3)/x	$\frac{d y}{d x} = \frac{y^{3}}{x}$
74369	Solve the Differential Equation	(dy)/(dt)=d/(dt)(x^5+8)	$\frac{d y}{d t} = \frac{d}{d t} (x^{5} + 8)$
74370	Solve the Differential Equation	y''''(x)=1-(y(x))^2	$y'' (x) = 1 - {(y (x))}^{2}$
74371	Solve the Differential Equation	(dy)/(dx)=3x+4	$\frac{d y}{d x} = 3 x + 4$
74372	Solve the Differential Equation	x(dy)/x-4y=x^6e^x	$x \frac{d y}{x} - 4 y = x^{6} e^{x}$
74373	Solve the Differential Equation	(dP)/(dz)=5/2z^(3/2)	$\frac{d P}{d z} = \frac{5}{2} z^{\frac{3}{2}}$
74374	Solve the Differential Equation	x^7+10y(dy)/(dx)=0	$x^{7} + 10 y \frac{d y}{d x} = 0$
74375	Solve the Differential Equation	(dy)/(dx)=-8x+12x^2	$\frac{d y}{d x} = - 8 x + 12 x^{2}$
74376	Solve the Differential Equation	cos(xdy)-(2ysin(x)-3)dx=0	$\cos (x d y) - (2 y \sin (x) - 3) d x = 0$
74377	Solve the Differential Equation	y''''-6x=1	$y'' - 6 x = 1$
74378	Solve the Differential Equation	(dU)/(dt)=e^(3u+9t)	$\frac{d U}{d t} = e^{3 u + 9 t}$
74379	Solve the Differential Equation	(dy)/(dx)=5ye^x	$\frac{d y}{d x} = 5 y e^{x}$
74380	Solve the Differential Equation	xdx-(yd)y=0	$x d x - yd y = 0$
74381	Solve the Differential Equation	y''''-y=y^2e^x	$y'' - y = y^{2} e^{x}$
74382	Solve the Differential Equation	(dy)/(dx)-(3y)/x=x	$\frac{d y}{d x} - \frac{3 y}{x} = x$
74383	Solve the Differential Equation	(dy)/(dx)=3e^x-2x , y(0)=-1	$\frac{d y}{d x} = 3 e^{x} - 2 x$ , $y (0) = - 1$
74384	Solve the Differential Equation	(dy)/(dx)=5x+7	$\frac{d y}{d x} = 5 x + 7$
74385	Solve the Differential Equation	y''''-8y=0	$y'' - 8 y = 0$
74386	Solve the Differential Equation	(du)/(dt)=e^(6u+5t)	$\frac{d u}{d t} = e^{6 u + 5 t}$
74387	Solve the Differential Equation	y(x^2+y^2)dx+x(3x^2-5y^2)dy=0	$y (x^{2} + y^{2}) d x + x (3 x^{2} - 5 y^{2}) d y = 0$
74388	Solve the Differential Equation	y''''-2x=0	$y'' - 2 x = 0$
74389	Solve the Differential Equation	f(x)=2x	$f (x) = 2 x$
74390	Solve the Differential Equation	(dy)/(dx)(1+x^2)+xy=0	$\frac{d y}{d x} (1 + x^{2}) + x y = 0$
74391	Solve the Differential Equation	(dy)/(dx)=(x^2+y^2)/(xy)	$\frac{d y}{d x} = \frac{(x^{2} + y^{2})}{x y}$
74392	Solve the Differential Equation	x''''+x=0	$x'' + x = 0$
74393	Solve the Differential Equation	x^2y''''''''-xy''''+2y=0	$x^{2} y'''' - x y'' + 2 y = 0$
74394	Solve the Differential Equation	(dy)/(dx)=(x^2+y^2)/(2x^2)	$\frac{d y}{d x} = \frac{x^{2} + y^{2}}{2 x^{2}}$
74395	Solve the Differential Equation	y''''-25y=0	$y'' - 25 y = 0$
74396	Solve the Differential Equation	6x(yd)x+(4y+9x^2)dy=0	$6 x yd x + (4 y + 9 x^{2}) d y = 0$
74397	Solve the Differential Equation	(dy)/(dx)=x/(e^y)	$\frac{d y}{d x} = \frac{x}{e^{y}}$
74398	Solve the Differential Equation	y''''-y=e^(2x)	$y'' - y = e^{2 x}$
74399	Solve the Differential Equation	f(s)=-3/(s^2)-4/(s^4)	$f (s) = - \frac{3}{s^{2}} - \frac{4}{s^{4}}$
74400	Solve the Differential Equation	(dy)/(dt)+3y=11 , y(0)=1	$\frac{d y}{d t} + 3 y = 11$ , $y (0) = 1$