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인기 문제

순위	주제	문제	형식화된 문제
78301	Solve the Differential Equation	(dy)/(dx)=(x+y)/(x+y+1)	$\frac{d y}{d x} = \frac{x + y}{x + y + 1}$
78302	Solve the Differential Equation	xy''''+y=7 x 의 제곱근	$x y'' + y = 7 \sqrt{x}$
78303	Solve the Differential Equation	(dy)/(dx)=2y+50	$\frac{d y}{d x} = 2 y + 50$
78304	Solve the Differential Equation	(dy)/(dx)=x x-3 의 제곱근	$\frac{d y}{d x} = x \sqrt{x - 3}$
78305	Solve the Differential Equation	(dy)/(dx)=y(xy^4-1)	$\frac{d y}{d x} = y (x y^{4} - 1)$
78306	Solve the Differential Equation	(ds)/(dt)=8sin(t-pi/12)^2	$\frac{d s}{d t} = 8 \sin^{2} (t - \frac{π}{12})$
78307	Solve the Differential Equation	(dN)/(dt)=0.3N(t)	$\frac{d N}{d t} = 0.3 N (t)$
78308	Solve the Differential Equation	2xy+8x+(x^2-9)(dy)/(dx)=0	$2 x y + 8 x + (x^{2} - 9) \frac{d y}{d x} = 0$
78309	Solve the Differential Equation	(d^2y)/(dx^2)=(dy)/(dx)	$\frac{d^{2} y}{d x^{2}} = \frac{d y}{d x}$
78310	Solve the Differential Equation	y''''=x+(-3)+2	$y'' = x + (- 3) + 2$
78311	Solve the Differential Equation	y''''e^y=2te^(t^2)	$y'' e^{y} = 2 t e^{t^{2}}$
78312	Solve the Differential Equation	(ds)/(dt)=8sin(t+pi/12)^2 , s(0)=3	$\frac{d s}{d t} = 8 \sin^{2} (t + \frac{π}{12})$ , $s (0) = 3$
78313	Solve the Differential Equation	(dy)/(dx)=(6x^2y)/(e^(2-x^3)) , y(0)=1	$\frac{d y}{d x} = \frac{6 x^{2} y}{e^{2 - x^{3}}}$ , $y (0) = 1$
78314	Solve the Differential Equation	2(6)(0.4)+2(8)(dy)/(dt)=0	$2 (6) (0.4) + 2 (8) \frac{d y}{d t} = 0$
78315	Solve the Differential Equation	(dy)/(dx)=(x^3)/(y^3)	$\frac{d y}{d x} = \frac{x^{3}}{y^{3}}$
78316	Solve the Differential Equation	f(x)=sin(7 x) 의 자연로그	$f (x) = \sin (7 \ln (x))$
78317	Solve the Differential Equation	-(1+y^2)dx+x(yd)y=0	$- (1 + y^{2}) d x + x yd y = 0$
78318	Solve the Differential Equation	y''''''''-2y''''+3y=0	$y'''' - 2 y'' + 3 y = 0$
78319	Solve the Differential Equation	(dy)/(dx) = square root of (x^2-y^2)/(x^2)+y/x	$\frac{d y}{d x} = \sqrt{\frac{x^{2} - y^{2}}{x^{2}}} + \frac{y}{x}$
78320	Solve the Differential Equation	(dy)/(dx)=y^2+9	$\frac{d y}{d x} = y^{2} + 9$
78321	Solve the Differential Equation	y''''''''+5y''''=0	$y'''' + 5 y'' = 0$
78322	Solve the Differential Equation	4x^2y''''''''+4xy''''-y=0	$4 x^{2} y'''' + 4 x y'' - y = 0$
78323	Solve the Differential Equation	(du)/(dt)=((u+1)(t+1))/((u+2)(t-1))	$\frac{d u}{d t} = \frac{(u + 1) (t + 1)}{(u + 2) (t - 1)}$
78324	Solve the Differential Equation	y''''''''-4y=x^2	$y'''' - 4 y = x^{2}$
78325	Solve the Differential Equation	(x+2)dx-xdy=0	$(x + 2) d x - x d y = 0$
78326	Solve the Differential Equation	x(dy)/(dx)=y/( x) 의 로그	$x \frac{d y}{d x} = \frac{y}{\log (x)}$
78327	Solve the Differential Equation	(dy)/(dx)+7xy=4x	$\frac{d y}{d x} + 7 x y = 4 x$
78328	Solve the Differential Equation	(dy)/(dx)-2x=0	$\frac{d y}{d x} - 2 x = 0$
78329	Solve the Differential Equation	(dy)/(dx)+5y=12	$\frac{d y}{d x} + 5 y = 12$
78330	Solve the Differential Equation	e^x(dy)/(dx)=e^(-y)+e^(-2x-y)	$e^{x} \frac{d y}{d x} = e^{- y} + e^{- 2 x - y}$
78331	Solve the Differential Equation	(dy)/y-(4x^3+2x)dx=0	$\frac{d y}{y} - (4 x^{3} + 2 x) d x = 0$
78332	Solve the Differential Equation	(2-xt^2)(dx)/(dt)-x^2t=0	$(2 - x t^{2}) \frac{d x}{d t} - x^{2} t = 0$
78333	Solve the Differential Equation	(dT)/(dt)-T=0	$\frac{d T}{d t} - T = 0$
78334	Solve the Differential Equation	xy''''-8y=x^9e^x	$x y'' - 8 y = x^{9} e^{x}$
78335	Solve the Differential Equation	xy(dy)/(dx)+y^2=1/y	$x y \frac{d y}{d x} + y^{2} = \frac{1}{y}$
78336	Solve the Differential Equation	(dy)/(dx)+y/x=y^2 x 의 자연로그	$\frac{d y}{d x} + \frac{y}{x} = y^{2} \ln (x)$
78337	Solve the Differential Equation	y''''+xy=x^2y^2	$y'' + x y = x^{2} y^{2}$
78338	Solve the Differential Equation	x^2(dy)/(dx)=y^2+xy+x^2	$x^{2} \frac{d y}{d x} = y^{2} + x y + x^{2}$
78339	Solve the Differential Equation	(dy)/(dx)=-2xe^y	$\frac{d y}{d x} = - 2 x e^{y}$
78340	Solve the Differential Equation	(dy)/(dx)-2y/(x^2)=0	$\frac{d y}{d x} - 2 \frac{y}{x^{2}} = 0$
78341	Solve the Differential Equation	(dy)/(dx)=3/(x^4)	$\frac{d y}{d x} = \frac{3}{x^{4}}$
78342	Solve the Differential Equation	(dy)/(dx)=8x^2y-5xy	$\frac{d y}{d x} = 8 x^{2} y - 5 x y$
78343	Solve the Differential Equation	(dy)/(dt)=2-(3y)/(25+2t)	$\frac{d y}{d t} = 2 - \frac{3 y}{25 + 2 t}$
78344	Solve the Differential Equation	(dy)/(dx)=(2y-5)/(-7x+9)	$\frac{d y}{d x} = \frac{2 y - 5}{- 7 x + 9}$
78345	Solve the Differential Equation	xy''''-2y=6x^2 x 의 자연로그	$x y'' - 2 y = 6 x^{2} \ln (x)$
78346	Solve the Differential Equation	(dx)/(dy)=3y^2-4y	$\frac{d x}{d y} = 3 y^{2} - 4 y$
78347	Solve the Differential Equation	y''''''''+81y=0	$y'''' + 81 y = 0$
78348	Solve the Differential Equation	y''''=sec(x)tan(x)	$y'' = \sec (x) \tan (x)$
78349	Solve the Differential Equation	(dy)/(dx)+1=4e^(-y)sin(x)	$\frac{d y}{d x} + 1 = 4 e^{- y} \sin (x)$
78350	Solve the Differential Equation	3x^2e^ydx+(x^3e^y-1)dy=0	$3 x^{2} e^{y} d x + (x^{3} e^{y} - 1) d y = 0$
78351	Solve the Differential Equation	(dy)/(dx)-2y=x+5	$\frac{d y}{d x} - 2 y = x + 5$
78352	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=14	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 14$
78353	Solve the Differential Equation	y''''=5x+e^x	$y'' = 5 x + e^{x}$
78354	Solve the Differential Equation	(dy)/(dx)=7x^6e^(-y)	$\frac{d y}{d x} = 7 x^{6} e^{- y}$
78355	Solve the Differential Equation	(dy)/(dx)=(y-1)/x	$\frac{d y}{d x} = \frac{y - 1}{x}$
78356	Solve the Differential Equation	(dy)/(dx)=(x^3+2)(2-y)	$\frac{d y}{d x} = (x^{3} + 2) (2 - y)$
78357	Solve the Differential Equation	(dy)/(dx)=(2x^2)/( 4+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{2 x^{2}}{\sqrt{4 + x^{3}}}$
78358	Solve the Differential Equation	(dA)/(dt)=6A	$\frac{d A}{d t} = 6 A$
78359	Solve the Differential Equation	(dy)/(dx)-3=0	$\frac{d y}{d x} - 3 = 0$
78360	Solve the Differential Equation	x(dy)/(dx)-3y=x^2	$x \frac{d y}{d x} - 3 y = x^{2}$
78361	Solve the Differential Equation	(dy)/(dx)=y/(3x)	$\frac{d y}{d x} = \frac{y}{3 x}$
78362	Solve the Differential Equation	y''''=x^2-2x+2	$y'' = x^{2} - 2 x + 2$
78363	Solve the Differential Equation	(2x+3)y''''=y+((2x+3)^1)/2	$(2 x + 3) y'' = y + \frac{{(2 x + 3)}^{1}}{2}$
78364	Solve the Differential Equation	(2x+3)y^6dx+x^4(4y+5)dy=0	$(2 x + 3) y^{6} d x + x^{4} (4 y + 5) d y = 0$
78365	Solve the Differential Equation	(dy)/(dx)=(xsin(x))/y	$\frac{d y}{d x} = \frac{(x \sin (x))}{y}$
78366	Solve the Differential Equation	(dy)/(dx) = square root of x+16	$\frac{d y}{d x} = \sqrt{x + 16}$
78367	Solve the Differential Equation	(dy)/(dx)=-x^2-xy+y^2-1	$\frac{d y}{d x} = - x^{2} - x y + y^{2} - 1$
78368	Solve the Differential Equation	2(7)(48)+2(24)(dy)/(dt)=0	$2 (7) (48) + 2 (24) \frac{d y}{d t} = 0$
78369	Solve the Differential Equation	(x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0	$(x^{2} + 2 x y - y^{2}) d x + (y^{2} + 2 x y - x^{2}) d y = 0$
78370	Solve the Differential Equation	e^(2x)dy+(2e^(2x)y-x)dx=0	$e^{2 x} d y + (2 e^{2 x} y - x) d x = 0$
78371	Solve the Differential Equation	(dy)/(dt)=ye^(-t)	$\frac{d y}{d t} = y e^{- t}$
78372	Solve the Differential Equation	(dy)/(dt)+4y=12	$\frac{d y}{d t} + 4 y = 12$
78373	Solve the Differential Equation	f(x)=x^5	$f (x) = x^{5}$
78374	Solve the Differential Equation	y-y''''-2y=0	$y - y'' - 2 y = 0$
78375	Solve the Differential Equation	2x(1+y^2)dx+y(1+x^2)dy=0	$2 x (1 + y^{2}) d x + y (1 + x^{2}) d y = 0$
78376	Solve the Differential Equation	(dy)/(dx)-(3y)/x=x^4	$\frac{d y}{d x} - \frac{3 y}{x} = x^{4}$
78377	Solve the Differential Equation	(y^2-5xy+5x^2)dx-x^2dy=0	$(y^{2} - 5 x y + 5 x^{2}) d x - x^{2} d y = 0$
78378	Solve the Differential Equation	xy''''+y=10 x 의 제곱근	$x y'' + y = 10 \sqrt{x}$
78379	Solve the Differential Equation	(d^2y)/(dx^2)+2(dy)/(dx)=4x	$\frac{d^{2} y}{d x^{2}} + 2 \frac{d y}{d x} = 4 x$
78380	Solve the Differential Equation	(ds)/(dt)=360(9t^2-7)^3 , s(1)=4	$\frac{d s}{d t} = 360 {(9 t^{2} - 7)}^{3}$ , $s (1) = 4$
78381	Solve the Differential Equation	(sin(x)sin(y))dx+(cos(x)cos(y))dy=0	$(\sin (x) \sin (y)) d x + (\cos (x) \cos (y)) d y = 0$
78382	Solve the Differential Equation	(dy)/(dx)=x(4-y)	$\frac{d y}{d x} = x (4 - y)$
78383	Solve the Differential Equation	xdy-(yd)x = square root of x^2-y^2dx	$x d y - yd x = \sqrt{x^{2} - y^{2}} d x$
78384	Solve the Differential Equation	(dy)/(dt)+2y=5	$\frac{d y}{d t} + 2 y = 5$
78385	Solve the Differential Equation	(dy)/(dx)=3x^(4/5)	$\frac{d y}{d x} = 3 x^{\frac{4}{5}}$
78386	Solve the Differential Equation	(3x+2)dy+(2y-5)dx=0	$(3 x + 2) d y + (2 y - 5) d x = 0$
78387	Solve the Differential Equation	(dy)/(dx)=x^8e^(x^9)	$\frac{d y}{d x} = x^{8} e^{x^{9}}$
78388	Solve the Differential Equation	x(dy)/(dx)+4y=2x^3	$x \frac{d y}{d x} + 4 y = 2 x^{3}$
78389	Solve the Differential Equation	(3y^2+2y)y''''=xcos(x)	$(3 y^{2} + 2 y) y'' = x \cos (x)$
78390	Solve the Differential Equation	F(x)=2/3x^6	$F (x) = \frac{2}{3} x^{6}$
78391	Solve the Differential Equation	(1+ 자연로그 x+y/x)dx=(1- 자연로그 x)dx	$(1 + \ln (x) + \frac{y}{x}) d x = (1 - \ln (x)) d x$
78392	Solve the Differential Equation	(dy)/(dx)=sin(3x+pi) , y(0)=4	$\frac{d y}{d x} = \sin (3 x + π)$ , $y (0) = 4$
78393	Solve the Differential Equation	(2x^3+3xy^2)dx+(3x^2y-7y)dy=0	$(2 x^{3} + 3 x y^{2}) d x + (3 x^{2} y - 7 y) d y = 0$
78394	Verify the Differential Equation Solution	(dy)/(dx)=e^(-x^2) , y(3)=5	$\frac{d y}{d x} = e^{- x^{2}}$ , $y (3) = 5$
78395	Solve the Differential Equation	y''''''''+2y''''+4y=0	$y'''' + 2 y'' + 4 y = 0$
78396	Solve the Differential Equation	x(dy)/(dx)-6y=x^2 , y(1)=10	$x \frac{d y}{d x} - 6 y = x^{2}$ , $y (1) = 10$
78397	Solve the Differential Equation	y''''=(x+4)/(y^2)	$y'' = \frac{x + 4}{y^{2}}$
78398	Solve the Differential Equation	xdy+(x^3-xy^2-y)dy=0	$x d y + (x^{3} - x y^{2} - y) d y = 0$
78399	Solve the Differential Equation	(x^2y-2xy^2)dx-(x^3-3x^2y)dy=0	$(x^{2} y - 2 x y^{2}) d x - (x^{3} - 3 x^{2} y) d y = 0$
78400	Solve the Differential Equation	v''''(y)-v/3=18	$v'' (y) - \frac{v}{3} = 18$