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인기 문제

순위	주제	문제	형식화된 문제
77301	Solve the Differential Equation	2x+y-xy''''=0	$2 x + y - x y'' = 0$
77302	Solve the Differential Equation	x^2dy=(x^2+xy+y^2)dx	$x^{2} d y = (x^{2} + x y + y^{2}) d x$
77303	Solve the Differential Equation	csc(x)^3(dy)/(dx)=0	$\csc^{3} (x) \frac{d y}{d x} = 0$
77304	Solve the Differential Equation	(dy)/(dx)=(y+x)/x	$\frac{d y}{d x} = \frac{(y + x)}{x}$
77305	Solve the Differential Equation	(dx)/(dy)+y^2x=x^2y	$\frac{d x}{d y} + y^{2} x = x^{2} y$
77306	Solve the Differential Equation	y^2dx+(x^2-xy)dy=0	$y^{2} d x + (x^{2} - x y) d y = 0$
77307	Solve the Differential Equation	x^2(dy)/(dx)+2xy=x-1	$x^{2} \frac{d y}{d x} + 2 x y = x - 1$
77308	Solve the Differential Equation	y^2dx-x(2x+3y)dy=0	$y^{2} d x - x (2 x + 3 y) d y = 0$
77309	Solve the Differential Equation	(4x^3-15x^2-y)dx+(x^4+3y^2-x)dy=0	$(4 x^{3} - 15 x^{2} - y) d x + (x^{4} + 3 y^{2} - x) d y = 0$
77310	Solve the Differential Equation	(dx)/(dy)=y^2	$\frac{d x}{d y} = y^{2}$
77311	Solve the Differential Equation	(x^2dy)/(dx)+xy=1	$\frac{x^{2} d y}{d x} + x y = 1$
77312	Solve the Differential Equation	(dy)/(dx)+(2y)/x=1/(x^2)	$\frac{d y}{d x} + \frac{2 y}{x} = \frac{1}{x^{2}}$
77313	Solve the Differential Equation	(dN)/(dt)=rN	$\frac{d N}{d t} = r N$
77314	Solve the Differential Equation	f(x)=x^3-2x^2+5	$f (x) = x^{3} - 2 x^{2} + 5$
77315	Solve the Differential Equation	(dy)/(dx)=71/(x+2)y	$\frac{d y}{d x} = 7 \cdot \frac{1}{x + 2} \cdot y$
77316	Solve the Differential Equation	(dy)/(dx)=1/(x+2)	$\frac{d y}{d x} = \frac{1}{x + 2}$
77317	Solve the Differential Equation	x(dy)/(dx)+(1+x)y=5	$x \frac{d y}{d x} + (1 + x) y = 5$
77318	Solve the Differential Equation	f(x) = square root of x^2-1	$f (x) = \sqrt{x^{2} - 1}$
77319	Solve the Differential Equation	(ay)/(dx)=4xe^(-y)	$\frac{a y}{d x} = 4 x e^{- y}$
77320	Solve the Differential Equation	(dv)/(dt)=9/(1+t^2)+sec(t)^2	$\frac{d v}{d t} = \frac{9}{1 + t^{2}} + \sec^{2} (t)$
77321	Solve the Differential Equation	y''''(x)+4y=-24	$y'' (x) + 4 y = - 24$
77322	Solve the Differential Equation	(dy)/(dx)=(6x)/(5y)	$\frac{d y}{d x} = \frac{6 x}{5 y}$
77323	Solve the Differential Equation	(1+x^2)(dy)/(dx)+y=arctan(x)	$(1 + x^{2}) \frac{d y}{d x} + y = \arctan (x)$
77324	Solve the Differential Equation	y''''=2x(x^2+y)	$y'' = 2 x (x^{2} + y)$
77325	Solve the Differential Equation	(dy)/(dx)=xy+x+y+1	$\frac{d y}{d x} = x y + x + y + 1$
77326	Solve the Differential Equation	(dz)/(dh)=h^2-3h+2	$\frac{d z}{d h} = h^{2} - 3 h + 2$
77327	Solve the Differential Equation	(dy)/(dt)=(3t)/y	$\frac{d y}{d t} = \frac{3 t}{y}$
77328	Solve the Differential Equation	(dy)/(dx) = square root of 1-y	$\frac{d y}{d x} = \sqrt{1 - y}$
77329	Solve the Differential Equation	(2x^3y)dx+(x^4+y^4)dy=0	$(2 x^{3} y) d x + (x^{4} + y^{4}) d y = 0$
77330	Solve the Differential Equation	y''''-y''''-2y=4x^2	$y'' - y'' - 2 y = 4 x^{2}$
77331	Solve the Differential Equation	(dy)/(dx)=1/(cos(y)+1)	$\frac{d y}{d x} = \frac{1}{\cos (y) + 1}$
77332	Solve the Differential Equation	cot(x)(dy)/(dx)-2y=5	$\cot (x) \frac{d y}{d x} - 2 y = 5$
77333	Solve the Differential Equation	y''''=2+x-x^2	$y'' = 2 + x - x^{2}$
77334	Solve the Differential Equation	(dy)/(dx)=xy+3x	$\frac{d y}{d x} = x y + 3 x$
77335	Solve the Differential Equation	(di)/(dt)+10i=10	$\frac{d i}{d t} + 10 i = 10$
77336	Solve the Differential Equation	xy''''-y=y^3cos(3x)	$x y'' - y = y^{3} \cos (3 x)$
77337	Solve the Differential Equation	(dx)/(dy)=(1+2y^2)/(ysin(x))	$\frac{d x}{d y} = \frac{(1 + 2 y^{2})}{y \sin (x)}$
77338	Solve the Differential Equation	y''''=2x y 의 제곱근	$y'' = 2 x \sqrt{y}$
77339	Solve the Differential Equation	(dy)/(dx)=(cos(x))/y	$\frac{d y}{d x} = \frac{\cos (x)}{y}$
77340	Solve the Differential Equation	m(dv)/(dt)=mg-kv	$m \frac{d v}{d t} = mg - k v$
77341	Solve the Differential Equation	y''''+1/xy=3x+2	$y'' + \frac{1}{x} y = 3 x + 2$
77342	Solve the Differential Equation	(dy)/(dx)=4x^(4/9)	$\frac{d y}{d x} = 4 x^{\frac{4}{9}}$
77343	Solve the Differential Equation	5x^4cos(ydx)^2-dy=0	$5 x^{4} \cos^{2} (yd x) - d y = 0$
77344	Solve the Differential Equation	xdx+(ydx-xdy)cos(y/x)=0	$x d x + (yd x - x d y) \cos (\frac{y}{x}) = 0$
77345	Solve the Differential Equation	y(6y^2-x-1)dx+2xdy=0	$y (6 y^{2} - x - 1) d x + 2 x d y = 0$
77346	Solve the Differential Equation	y''''''''+y=5sin(x)	$y'''' + y = 5 \sin (x)$
77347	Solve the Differential Equation	ydx=xdy	$yd x = x d y$
77348	Solve the Differential Equation	y''''''''+y''''+2y=x	$y'''' + y'' + 2 y = x$
77349	Solve the Differential Equation	4x^2y''''''''-2y=0	$4 x^{2} y'''' - 2 y = 0$
77350	Solve the Differential Equation	(dy)/(dx)=-7x	$\frac{d y}{d x} = - 7 x$
77351	Solve the Differential Equation	(xdy)/(dx)=(3x-y)	$\frac{x d y}{d x} = (3 x - y)$
77352	Solve the Differential Equation	y^2dy=x^2dx	$y^{2} d y = x^{2} d x$
77353	Solve the Differential Equation	x(y^2-1)dy+y(x^2-1)dx=0	$x (y^{2} - 1) d y + y (x^{2} - 1) d x = 0$
77354	Solve the Differential Equation	(dy)/(dx)=(2y^3)/((2x-3)^2)	$\frac{d y}{d x} = \frac{2 y^{3}}{{(2 x - 3)}^{2}}$
77355	Solve the Differential Equation	(x-y^2x)dx+(y-x^2y)dy=0	$(x - y^{2} x) d x + (y - x^{2} y) d y = 0$
77356	Solve the Differential Equation	2x(yd)y=(x^2-y^2)dx	$2 x yd y = (x^{2} - y^{2}) d x$
77357	Solve the Differential Equation	1/x(dy)/(dx)-(2y)/(x^2)=xcos(x)	$\frac{1}{x} \cdot \frac{d y}{d x} - \frac{2 y}{x^{2}} = x \cos (x)$
77358	Solve the Differential Equation	(dy)/(dx)=( x)/(3y) 의 제곱근	$\frac{d y}{d x} = \frac{\sqrt{x}}{3 y}$
77359	Solve the Differential Equation	(dq)/(dx)=6x^5q	$\frac{d q}{d x} = 6 x^{5} q$
77360	Solve the Differential Equation	(dy)/(dx)=1/( 3x+4) 의 제곱근	$\frac{d y}{d x} = \frac{1}{\sqrt{3 x + 4}}$
77361	Solve the Differential Equation	y''''''''+10y''''+26y=0	$y'''' + 10 y'' + 26 y = 0$
77362	Solve the Differential Equation	2y''''''''''''''''+3y''''''''''''+2y''''''''+6y''''-4y=0	$2 y'''''''' + 3 y'''''' + 2 y'''' + 6 y'' - 4 y = 0$
77363	Solve the Differential Equation	(x+2y)dx+(2x-y)dy=0	$(x + 2 y) d x + (2 x - y) d y = 0$
77364	Solve the Differential Equation	y''''=(2y)/(3x)	$y'' = \frac{2 y}{3 x}$
77365	Solve the Differential Equation	dy+3(yd)x=e^(-3x)dx	$d y + 3 yd x = e^{- 3 x} d x$
77366	Solve the Differential Equation	y''''=3x+2y	$y'' = 3 x + 2 y$
77367	Solve the Differential Equation	y''''=sec(x)^2	$y'' = \sec^{2} (x)$
77368	Solve the Differential Equation	xy''''-y=2x^2y	$x y'' - y = 2 x^{2} y$
77369	Solve the Differential Equation	(dy)/(dt)=(t-2)/y	$\frac{d y}{d t} = \frac{t - 2}{y}$
77370	Solve the Differential Equation	y''''''''-3y''''+2y=e^(-4t)	$y'''' - 3 y'' + 2 y = e^{- 4 t}$
77371	Solve the Differential Equation	X''''=2X^2+4X	$X'' = 2 X^{2} + 4 X$
77372	Solve the Differential Equation	xy''''=6y	$x y'' = 6 y$
77373	Solve the Differential Equation	(dy)/(dx)=(7e^x-5e^(-x))^2	$\frac{d y}{d x} = {(7 e^{x} - 5 e^{- x})}^{2}$
77374	Solve the Differential Equation	(dy)/(dx)=7 yx 의 제곱근	$\frac{d y}{d x} = 7 \sqrt{y x}$
77375	Solve the Differential Equation	dy+ydx=(dx)/(e^x)	$d y + yd x = \frac{d x}{e^{x}}$
77376	Solve the Differential Equation	(dy)/(dx)=2 yx 의 제곱근	$\frac{d y}{d x} = 2 \sqrt{y x}$
77377	Solve the Differential Equation	xdy-(yd)x- x^2-y^2dy=0 의 제곱근	$x d y - yd x - \sqrt{x^{2} - y^{2}} d y = 0$
77378	Solve the Differential Equation	2(6)(0.5)+2(8)(dy)/(dt)=0	$2 (6) (0.5) + 2 (8) \frac{d y}{d t} = 0$
77379	Solve the Differential Equation	4xdx+3dy=0	$4 x d x + 3 d y = 0$
77380	Solve the Differential Equation	(x(dy))/(dx)=2y	$\frac{x (d y)}{d x} = 2 y$
77381	Solve the Differential Equation	(dy)/(dx)=y^2x^2+y^2+1+x^2	$\frac{d y}{d x} = y^{2} x^{2} + y^{2} + 1 + x^{2}$
77382	Solve the Differential Equation	y''''''''-4y''''+4y=(e^(2x))/x	$y'''' - 4 y'' + 4 y = \frac{e^{2 x}}{x}$
77383	Solve the Differential Equation	y''''''''''''+y=0	$y'''''' + y = 0$
77384	Solve the Differential Equation	16y''''''''''''''''+24y''''''''+9y=0	$16 y'''''''' + 24 y'''' + 9 y = 0$
77385	Solve the Differential Equation	(dy)/(dx)=1/( x) 의 다섯제곱근	$\frac{d y}{d x} = \frac{1}{\sqrt[5]{x}}$
77386	Solve the Differential Equation	(dy)/(dx)=3/y	$\frac{d y}{d x} = \frac{3}{y}$
77387	Solve the Differential Equation	(dy)/(dx)=(x^2+x)(y+1)	$\frac{d y}{d x} = (x^{2} + x) (y + 1)$
77388	Solve the Differential Equation	e^x(y^3+xy^3+1)dx+3y^2(xe^x-6)dy=0	$e^{x} (y^{3} + x y^{3} + 1) d x + 3 y^{2} (x e^{x} - 6) d y = 0$
77389	Solve the Differential Equation	cos(x)(dy)/(dx)+sin(x)y=1	$\cos (x) \frac{d y}{d x} + \sin (x) y = 1$
77390	Solve the Differential Equation	(dy)/(dx)=8x^(1/9)	$\frac{d y}{d x} = 8 x^{\frac{1}{9}}$
77391	Solve the Differential Equation	4x(yd)x+(x^2+1)dy=0	$4 x yd x + (x^{2} + 1) d y = 0$
77392	Solve the Differential Equation	f(x)=2cos(x)-6sec(x)+3	$f (x) = 2 \cos (x) - 6 \sec (x) + 3$
77393	Solve the Differential Equation	f(x)=(a-x)(a+x)	$f (x) = (a - x) (a + x)$
77394	Solve the Differential Equation	(dy)/(dx)=2xe^(x^2+y)	$\frac{d y}{d x} = 2 x e^{x^{2} + y}$
77395	Solve the Differential Equation	x*(dy)/(dx)-2y=x^2	$x \cdot \frac{d y}{d x} - 2 y = x^{2}$
77396	Solve the Differential Equation	(x+xy^2)dx+e^(x^2)(yd)y=0	$(x + x y^{2}) d x + e^{x^{2}} yd y = 0$
77397	Solve the Differential Equation	e^(4x)dx-sin(4(yd)y)=0	$e^{4 x} d x - \sin (4 yd y) = 0$
77398	Solve the Differential Equation	(dy)/(dx)=(cos(x))/(x^2)-(2y)/x	$\frac{d y}{d x} = \frac{\cos (x)}{x^{2}} - \frac{2 y}{x}$
77399	Solve the Differential Equation	(cos(x))y''''+(sin(x))y=sin(x)cos(x)^3	$(\cos (x)) y'' + (\sin (x)) y = \sin (x) \cos^{3} (x)$
77400	Solve the Differential Equation	y''''''''-4y''''+4y=3e^(2t)	$y'''' - 4 y'' + 4 y = 3 e^{2 t}$