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인기 문제

순위	주제	문제	형식화된 문제
76401	Solve the Differential Equation	(dy)/(dx)=7x^(1/4)	$\frac{d y}{d x} = 7 x^{\frac{1}{4}}$
76402	Solve the Differential Equation	4y''''''''''''+4y''''''''+y''''=0	$4 y'''''' + 4 y'''' + y'' = 0$
76403	Solve the Differential Equation	(6x-5)(dx)/(dy)=(-3x^2+5x+1)/y	$(6 x - 5) \frac{d x}{d y} = \frac{- 3 x^{2} + 5 x + 1}{y}$
76404	Solve the Differential Equation	(dy)/(dx)=-7x^6e^(-x^7)	$\frac{d y}{d x} = - 7 x^{6} e^{- x^{7}}$
76405	Solve the Differential Equation	(dy)/(dx)=(x^2+2y^2)/(2xy)	$\frac{d y}{d x} = \frac{x^{2} + 2 y^{2}}{2 x y}$
76406	Solve the Differential Equation	(dy)/(dx)=(y-3)/(x-3)	$\frac{d y}{d x} = \frac{y - 3}{x - 3}$
76407	Solve the Differential Equation	L(d^2Q)/(dt^2)+R(dQ)/(dt)+Q/c=0	$L \frac{d^{2} Q}{d t^{2}} + R \frac{d Q}{d t} + \frac{Q}{c} = 0$
76408	Solve the Differential Equation	(dy)/(dx)+y/(x^2)=1/(x^2)	$\frac{d y}{d x} + \frac{y}{x^{2}} = \frac{1}{x^{2}}$
76409	Solve the Differential Equation	y''''+y=xe^(-x)+1	$y'' + y = x e^{- x} + 1$
76410	Solve the Differential Equation	ydx+(1-x)dy=0	$yd x + (1 - x) d y = 0$
76411	Solve the Differential Equation	y''''''''+y=csc(x)	$y'''' + y = \csc (x)$
76412	Solve the Differential Equation	(dy)/(dx) = h 가 0 에 한없이 가까워질 때 극한 (2hx+h^2+h)/h	$\frac{d y}{d x} = lim_{h \to 0} \frac{2 h x + h^{2} + h}{h}$
76413	Solve the Differential Equation	dx-x^2d=0	$d x - x^{2} d = 0$
76414	Solve the Differential Equation	7y(dy)/(dx)=8x^2	$7 y \frac{d y}{d x} = 8 x^{2}$
76415	Solve the Differential Equation	xdx+sin(y/x)^2(ydx-xdy)=0	$x d x + \sin^{2} (\frac{y}{x}) (yd x - x d y) = 0$
76416	Solve the Differential Equation	(d^2y)/(dx^2)=3((dx)/(dx))+x 의 제곱근	$\sqrt{\frac{d^{2} y}{d x^{2}}} = 3 (\frac{d x}{(d x)}) + x$
76417	Solve the Differential Equation	(dy)/(dx)=e^(2x)-3y	$\frac{d y}{d x} = e^{2 x} - 3 y$
76418	Solve the Differential Equation	(y+x^3)dx+(x-y^3)dy=0	$(y + x^{3}) d x + (x - y^{3}) d y = 0$
76419	Solve the Differential Equation	(dy)/(dx)=(8x^7)/(7e^y)	$\frac{d y}{d x} = \frac{8 x^{7}}{7 e^{y}}$
76420	Solve the Differential Equation	3x^2ydx+ydy=0	$3 x^{2} yd x + yd y = 0$
76421	Solve the Differential Equation	(dy)/(dx)=(1+y^2)tan(x) , y(0) = square root of 3	$\frac{d y}{d x} = (1 + y^{2}) \tan (x)$ , $y (0) = \sqrt{3}$
76422	Solve the Differential Equation	t(1+2y)dy+y(1+y)dt=0	$t (1 + 2 y) d y + y (1 + y) d t = 0$
76423	Solve the Differential Equation	(y^2+x^2y^2)(dy)/(dx)=1	$(y^{2} + x^{2} y^{2}) \frac{d y}{d x} = 1$
76424	Solve the Differential Equation	y''''=9x^2y	$y'' = 9 x^{2} y$
76425	Solve the Differential Equation	y''''=0.6y	$y'' = 0.6 y$
76426	Solve the Differential Equation	x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0	$x^{2} \frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x} + y = 0$
76427	Solve the Differential Equation	y''''-y=x-1	$y'' - y = x - 1$
76428	Solve the Differential Equation	yy''''=e^(x+y)	$y y'' = e^{x + y}$
76429	Solve the Differential Equation	(dy)/(dx)=tan(4x)	$\frac{d y}{d x} = \tan (4 x)$
76430	Solve the Differential Equation	5y''''''''-(y'''')^4=y^3sin(x)	$5 y'''' - {(y'')}^{4} = y^{3} \sin (x)$
76431	Solve the Differential Equation	(dy)/(dx)+y=5	$\frac{d y}{d x} + y = 5$
76432	Solve the Differential Equation	y''''=(x+y-2)^2	$y'' = {(x + y - 2)}^{2}$
76433	Solve the Differential Equation	y''''+(2y)/x=x^2	$y'' + \frac{2 y}{x} = x^{2}$
76434	Solve the Differential Equation	(dy)/(dx)=7x^(2/3)	$\frac{d y}{d x} = 7 x^{\frac{2}{3}}$
76435	Solve the Differential Equation	-(yd)x+(x+ x^2+y^2)dy=0 의 제곱근	$- yd x + (x + \sqrt{x^{2} + y^{2}}) d y = 0$
76436	Solve the Differential Equation	(dy)/(dt)=y-1	$\frac{d y}{d t} = y - 1$
76437	Solve the Differential Equation	(dy)/(dx)=5-y	$\frac{d y}{d x} = 5 - y$
76438	Solve the Differential Equation	x(dy)/(dx)+y=3x^2	$x \frac{d y}{d x} + y = 3 x^{2}$
76439	Solve the Differential Equation	y''''=2y-y^2	$y'' = 2 y - y^{2}$
76440	Solve the Differential Equation	y''''-5y''''=3e^(2x)	$y'' - 5 y'' = 3 e^{2 x}$
76441	Solve the Differential Equation	(dy)/(dx)-1=y^2	$\frac{d y}{d x} - 1 = y^{2}$
76442	Solve the Differential Equation	(2y^2+3x)dx+2x(yd)y=0	$(2 y^{2} + 3 x) d x + 2 x yd y = 0$
76443	Solve the Differential Equation	(dy)/(dx)=-8x^2y	$\frac{d y}{d x} = - 8 x^{2} y$
76444	Solve the Differential Equation	(x^2+7)y''''=xy	$(x^{2} + 7) y'' = x y$
76445	Solve the Differential Equation	y(4)+y''''''''''''+y''''''''=0	$y (4) + y'''''' + y'''' = 0$
76446	Solve the Differential Equation	x(yd)x-(x^2+3y^2)dy=0 ?	$x yd x - (x^{2} + 3 y^{2}) d y = 0$ ?
76447	Solve the Differential Equation	f(x)=7/( x) 의 제곱근	$f (x) = \frac{7}{\sqrt{x}}$
76448	Solve the Differential Equation	(1+x^2)dy-(1+y^2)dx=0	$(1 + x^{2}) d y - (1 + y^{2}) d x = 0$
76449	Solve the Differential Equation	(dy)/(dt)-9/t*y=t^5	$\frac{d y}{d t} - \frac{9}{t} \cdot y = t^{5}$
76450	Solve the Differential Equation	x(dy)/(dx)+y=4x+1	$x \frac{d y}{d x} + y = 4 x + 1$
76451	Solve the Differential Equation	(dy)/(dt)=2t^2	$\frac{d y}{d t} = 2 t^{2}$
76452	Solve the Differential Equation	(dy)/(dx)=y/x+1	$\frac{d y}{d x} = \frac{y}{x} + 1$
76453	Solve the Differential Equation	(dy)/(dx)=e^(-2x)y	$\frac{d y}{d x} = e^{- 2 x} y$
76454	Solve the Differential Equation	(dy)/(dx)=(x^2-xy+y^2)/(xy)	$\frac{d y}{d x} = \frac{x^{2} - x y + y^{2}}{x y}$
76455	Solve the Differential Equation	(dr)/(dtheta)=(rtheta+r)/(rtheta+theta)	$\frac{d r}{d θ} = \frac{r θ + r}{r θ + θ}$
76456	Solve the Differential Equation	(dy)/(dx)=(y+2)^6 , y(0)=-1	$\frac{d y}{d x} = {(y + 2)}^{6}$ , $y (0) = - 1$
76457	Solve the Differential Equation	y''''''''+y''''+y=2xe^x	$y'''' + y'' + y = 2 x e^{x}$
76458	Solve the Differential Equation	(x+y-1)dx+(2x+2y-1)dy=0	$(x + y - 1) d x + (2 x + 2 y - 1) d y = 0$
76459	Solve the Differential Equation	y''''''''-2y''''=4	$y'''' - 2 y'' = 4$
76460	Solve the Differential Equation	csc(ydx)+sec(xdy)^2=0	$\csc (yd x) + \sec^{2} (x d y) = 0$
76461	Solve the Differential Equation	(dy)/(dx)=ycos(x)+cos(x)	$\frac{d y}{d x} = y \cos (x) + \cos (x)$
76462	Solve the Differential Equation	(dy)/(dx)=1/(2xy)	$\frac{d y}{d x} = \frac{1}{2 x y}$
76463	Solve the Differential Equation	(dy)/(dx)=1/5(xy^2+4y)^2	$\frac{d y}{d x} = \frac{1}{5} {(x y^{2} + 4 y)}^{2}$
76464	Solve the Differential Equation	(d^2y)/(dx^2)+(dy)/(dx)=x	$\frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} = x$
76465	Solve the Differential Equation	(dy)/(dx)=-x/y , y(4)=-3	$\frac{d y}{d x} = - \frac{x}{y}$ , $y (4) = - 3$
76466	Solve the Differential Equation	(dy)/(dx)=(x-4)/x	$\frac{d y}{d x} = \frac{x - 4}{x}$
76467	Solve the Differential Equation	3y(dy)/(dx)=4x^2	$3 y \frac{d y}{d x} = 4 x^{2}$
76468	Solve the Differential Equation	(dy)/(dx)=y/x+ (y^2)/(x^2)-1 의 제곱근	$\frac{d y}{d x} = \frac{y}{x} + \sqrt{\frac{y^{2}}{x^{2}} - 1}$
76469	Solve the Differential Equation	(2xe^y+e^x)dx+(x^2+1)e^ydy=0	$(2 x e^{y} + e^{x}) d x + (x^{2} + 1) e^{y} d y = 0$
76470	Solve the Differential Equation	(dy)/(dx)=(y^2sec(1/x)^2tan(1/x))/(x^2)	$\frac{d y}{d x} = \frac{y^{2} \sec^{2} (\frac{1}{x}) \tan (\frac{1}{x})}{x^{2}}$
76471	Solve the Differential Equation	(dy)/(dt)=e^(t+y)	$\frac{d y}{d t} = e^{t + y}$
76472	Solve the Differential Equation	y''''''''=16y	$y'''' = 16 y$
76473	Solve the Differential Equation	(d^2y)/(dx^2)=4x^3+3x^2+1	$\frac{d^{2} y}{d x^{2}} = 4 x^{3} + 3 x^{2} + 1$
76474	Solve the Differential Equation	(dy)/(dx)-y=y^2e^x	$\frac{d y}{d x} - y = y^{2} e^{x}$
76475	Solve the Differential Equation	(dP)/(dC)=-216/((C+1)^(3/2))	$\frac{d P}{d C} = \frac{- 216}{{(C + 1)}^{\frac{3}{2}}}$
76476	Solve the Differential Equation	(dy)/(dx)=8x^(1/4)	$\frac{d y}{d x} = 8 x^{\frac{1}{4}}$
76477	Solve the Differential Equation	(sec(x))(dy)/(dx)=e^(y+sin(x))	$(\sec (x)) \frac{d y}{d x} = e^{y + \sin (x)}$
76478	Solve the Differential Equation	(dy)/(dx)=1/(2 x)+3 , y(9)=1 의 제곱근	$\frac{d y}{d x} = \frac{1}{2 \sqrt{x}} + 3$ , $y (9) = 1$
76479	Solve the Differential Equation	e^(y^2)arctan(xdx)+(1+x^2)y^2dy=0	$e^{y^{2}} \arctan (x d x) + (1 + x^{2}) y^{2} d y = 0$
76480	Solve the Differential Equation	(dy)/(dt)=x^(3/2)	$\frac{d y}{d t} = x^{\frac{3}{2}}$
76481	Solve the Differential Equation	x^2y''''=y^2(x^3+1)	$x^{2} y'' = y^{2} (x^{3} + 1)$
76482	Solve the Differential Equation	(dy)/(dx)=6x^2y-8xy	$\frac{d y}{d x} = 6 x^{2} y - 8 x y$
76483	Solve the Differential Equation	(dP)/(dt)=-5te^(-0.2t)	$\frac{d P}{d t} = - 5 t e^{- 0.2 t}$
76484	Solve the Differential Equation	(dy)/(dx)=-5x^2y	$\frac{d y}{d x} = - 5 x^{2} y$
76485	Solve the Differential Equation	(2xy^2-3)dx+(2x^2+4)dy=0	$(2 x y^{2} - 3) d x + (2 x^{2} + 4) d y = 0$
76486	Solve the Differential Equation	1/3dy=((y+2(x-2)^3)dx)/(3x-6)	$\frac{1}{3} d y = \frac{(y + 2 {(x - 2)}^{3}) d x}{3 x - 6}$
76487	Solve the Differential Equation	(dy)/(dx)=x^2 , y(0)=2	$\frac{d y}{d x} = x^{2}$ , $y (0) = 2$
76488	Solve the Differential Equation	f(x)=3x+5	$f (x) = 3 x + 5$
76489	Solve the Differential Equation	y''''=2x^2	$y'' = 2 x^{2}$
76490	Solve the Differential Equation	y''''=0.5(100-y)	$y'' = 0.5 (100 - y)$
76491	Solve the Differential Equation	(dy)/(dt)+3y=5	$\frac{d y}{d t} + 3 y = 5$
76492	Solve the Differential Equation	5xdy+5(yd)x+xdx=0	$5 x d y + 5 yd x + x d x = 0$
76493	Solve the Differential Equation	6x^2+(6y^2-9x)(dy)/(dx)-9y=0	$6 x^{2} + (6 y^{2} - 9 x) \frac{d y}{d x} - 9 y = 0$
76494	Solve the Differential Equation	y''''=10-y	$y'' = 10 - y$
76495	Solve the Differential Equation	(dy)/(dx)=2-4x+6x^2-8x^3	$\frac{d y}{d x} = 2 - 4 x + 6 x^{2} - 8 x^{3}$
76496	Solve the Differential Equation	Solve (x^3+y^2 제곱근 x^2+y^2)dx-xy 제곱근 x^2+y^2dy=0	Solve $(x^{3} + y^{2} \sqrt{x^{2} + y^{2}}) d x - x y \sqrt{x^{2} + y^{2}} d y = 0$
76497	Solve the Differential Equation	1/(x^2+1)dx+1/(y^2+1)dy=0	$\frac{1}{x^{2} + 1} d x + \frac{1}{y^{2} + 1} d y = 0$
76498	Solve the Differential Equation	(1+y^2)dx-(1+x^2)dy=0	$(1 + y^{2}) d x - (1 + x^{2}) d y = 0$
76499	Solve the Differential Equation	(dy)/(dx)+(5x^2)/(e^(3x^3))y=0	$\frac{d y}{d x} + \frac{5 x^{2}}{e^{3 x^{3}}} y = 0$
76500	Solve the Differential Equation	(1-x^2)(dy)/(dx)+xy=3x	$(1 - x^{2}) \frac{d y}{d x} + x y = 3 x$