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인기 문제

순위	주제	문제	형식화된 문제
75101	Solve the Differential Equation	(dy)/(dt)=kt	$\frac{d y}{d t} = k t$
75102	Solve the Differential Equation	(dy)/(dx)=(x^2)/(2y)	$\frac{d y}{d x} = \frac{x^{2}}{2 y}$
75103	Solve the Differential Equation	y''''''''''''-y=x	$y'''''' - y = x$
75104	Solve the Differential Equation	(dy)/(dx)=2(1+y^2)x	$\frac{d y}{d x} = 2 (1 + y^{2}) x$
75105	Solve the Differential Equation	(dy)/(dx)=5x^4 y-1 의 제곱근	$\frac{d y}{d x} = 5 x^{4} \sqrt{y - 1}$
75106	Solve the Differential Equation	(dy)/(dx)=(y^2+6)/(2y)	$\frac{d y}{d x} = \frac{y^{2} + 6}{2 y}$
75107	Solve the Differential Equation	y''''=2xy+3y-4x-6	$y'' = 2 x y + 3 y - 4 x - 6$
75108	Solve the Differential Equation	y(dy)/(dx)-2e^x=0	$y \frac{d y}{d x} - 2 e^{x} = 0$
75109	Solve the Differential Equation	y(1+cos(xy))dx+x(1+cos(xy))dy=0	$y (1 + \cos (x y)) d x + x (1 + \cos (x y)) d y = 0$
75110	Solve the Differential Equation	(dy)/(dx)=sin(xy)	$\frac{d y}{d x} = \sin (x y)$
75111	Solve the Differential Equation	4y''''=y^3cos(x)	$4 y'' = y^{3} \cos (x)$
75112	Solve the Differential Equation	(dy)/(dx)=e^x-y	$\frac{d y}{d x} = e^{x} - y$
75113	Solve the Differential Equation	(d^2x)/(dt^2)-4x=0	$\frac{d^{2} x}{d t^{2}} - 4 x = 0$
75114	Solve the Differential Equation	y-2y''''+y=0	$y - 2 y'' + y = 0$
75115	Solve the Differential Equation	(dr)/(dtheta)=-pisin(pitheta) , r(2)=3	$\frac{d r}{d θ} = - π \sin (π θ)$ , $r (2) = 3$
75116	Solve the Differential Equation	(dy)/(dx)+4y-e^(-x)=0 , y(0)=4/3	$\frac{d y}{d x} + 4 y - e^{- x} = 0$ , $y (0) = \frac{4}{3}$
75117	Solve the Differential Equation	(dy)/(dx)=y+sin(x)	$\frac{d y}{d x} = y + \sin (x)$
75118	Solve the Differential Equation	(dy)/(dx)=5e^(x+5) , y(-5)=3	$\frac{d y}{d x} = 5 e^{x + 5}$ , $y (- 5) = 3$
75119	Solve the Differential Equation	(dy)/(dx)+5y=e^(2x)	$\frac{d y}{d x} + 5 y = e^{2 x}$
75120	Solve the Differential Equation	(2+y)dx-(3-x)dy=0	$(2 + y) d x - (3 - x) d y = 0$
75121	Solve the Differential Equation	(dy)/(dx)=(5y^2)/( x) 의 제곱근	$\frac{d y}{d x} = \frac{5 y^{2}}{\sqrt{x}}$
75122	Solve the Differential Equation	(dy)/(dx)=3x^2+2x-7	$\frac{d y}{d x} = 3 x^{2} + 2 x - 7$
75123	Solve the Differential Equation	(dy)/(dx)-XY=5X	$\frac{d y}{d x} - X Y = 5 X$
75124	Solve the Differential Equation	(dy)/(dx)=(sec(x)^2)/(tan(y)^2)	$\frac{d y}{d x} = \frac{\sec^{2} (x)}{\tan^{2} (y)}$
75125	Solve the Differential Equation	(dr)/(dp)=8sin(p)	$\frac{d r}{d p} = 8 \sin (p)$
75126	Solve the Differential Equation	4y(dy)/(dx)=7x^2	$4 y \frac{d y}{d x} = 7 x^{2}$
75127	Solve the Differential Equation	(dy)/(dt)=(te^t)/(y 2+y^2) 의 제곱근	$\frac{d y}{d t} = \frac{t e^{t}}{y \sqrt{2 + y^{2}}}$
75128	Solve the Differential Equation	3(dy)/(dtheta)+sin(theta)=0	$3 \frac{d y}{d θ} + \sin (θ) = 0$
75129	Solve the Differential Equation	F(x)=(3x+1)^2	$F (x) = {(3 x + 1)}^{2}$
75130	Solve the Differential Equation	(dy)/(dx)+4y=12	$\frac{d y}{d x} + 4 y = 12$
75131	Solve the Differential Equation	(dx)/(dy)=10e^(x-y)	$\frac{d x}{d y} = 10 e^{x - y}$
75132	Solve the Differential Equation	x^4(dy)/(dx)+2x^3y=5	$x^{4} \frac{d y}{d x} + 2 x^{3} y = 5$
75133	Solve the Differential Equation	(dy)/(dx)=-0.5y , y(0)=90	$\frac{d y}{d x} = - 0.5 y$ , $y (0) = 90$
75134	Solve the Differential Equation	(dy)/(dx)=28yx^3	$\frac{d y}{d x} = 28 y x^{3}$
75135	Solve the Differential Equation	f(x)=-5e^(2x)	$f (x) = - 5 e^{2 x}$
75136	Solve the Differential Equation	(x^2-xy+y^2)dx-x(yd)y=0	$(x^{2} - x y + y^{2}) d x - x yd y = 0$
75137	Solve the Differential Equation	x(dy)/(dx)+2y=xe^(x^3)	$x \frac{d y}{d x} + 2 y = x e^{x^{3}}$
75138	Solve the Differential Equation	2x^3(yd)x+(x^4+y^4)dy=0	$2 x^{3} yd x + (x^{4} + y^{4}) d y = 0$
75139	Solve the Differential Equation	(dy)/(dx)=y-10	$\frac{d y}{d x} = y - 10$
75140	Solve the Differential Equation	x^7+8y(dy)/(dx)=0	$x^{7} + 8 y \frac{d y}{d x} = 0$
75141	Solve the Differential Equation	y''''=(11x)/y	$y'' = \frac{11 x}{y}$
75142	Solve the Differential Equation	x^2y''''+2xy=3x^2	$x^{2} y'' + 2 x y = 3 x^{2}$
75143	Solve the Differential Equation	y^9dy=x^3dx	$y^{9} d y = x^{3} d x$
75144	Solve the Differential Equation	4x^2(d^2y)/(dx^2)+8x(dy)/(dx)+y=0	$4 x^{2} \frac{d^{2} y}{d x^{2}} + 8 x \frac{d y}{d x} + y = 0$
75145	Solve the Differential Equation	(3x^2+ycos(x))dx+(sin(x)-4y^3)dy=0	$(3 x^{2} + y \cos (x)) d x + (\sin (x) - 4 y^{3}) d y = 0$
75146	Solve the Differential Equation	(dy)/(dx)-8xy-24x=0	$\frac{d y}{d x} - 8 x y - 24 x = 0$
75147	Solve the Differential Equation	yy''''''''-2(y'''')^2=0	$y y'''' - 2 {(y'')}^{2} = 0$
75148	Solve the Differential Equation	y''''''''-6y''''+25y=0	$y'''' - 6 y'' + 25 y = 0$
75149	Solve the Differential Equation	y''''''''+9y=sin(2x)^2	$y'''' + 9 y = \sin^{2} (2 x)$
75150	Solve the Differential Equation	y''''''''-y=x+e^(2x)	$y'''' - y = x + e^{2 x}$
75151	Solve the Differential Equation	x^5(yd)x+(y^4+3y^2)csc(x)dy=0	$x^{5} yd x + ((y^{4} + 3 y^{2}) \csc (x)) d y = 0$
75152	Solve the Differential Equation	y''''''''+2y''''+10y=0	$y'''' + 2 y'' + 10 y = 0$
75153	Solve the Differential Equation	(dy)/(dx)=(2x)/(y+x^2y)	$\frac{d y}{d x} = \frac{2 x}{y + x^{2} y}$
75154	Solve the Differential Equation	(dy)/(dx)=(3x^2)/(2y^2)	$\frac{d y}{d x} = \frac{3 x^{2}}{2 y^{2}}$
75155	Solve the Differential Equation	y''''-xy^2=2xy	$y'' - x y^{2} = 2 x y$
75156	Solve the Differential Equation	(dx)/(dy)=2xy	$\frac{d x}{d y} = 2 x y$
75157	Solve the Differential Equation	(dy)/(dx) = square root of x+y	$\frac{d y}{d x} = \sqrt{x + y}$
75158	Solve the Differential Equation	x(dy)/(dx)-4y=x^5e^x	$x \frac{d y}{d x} - 4 y = x^{5} e^{x}$
75159	Solve the Differential Equation	4y+y''''''''=0	$4 y + y'''' = 0$
75160	Solve the Differential Equation	f(x)=4x^(1/2)	$f (x) = 4 x^{\frac{1}{2}}$
75161	Solve the Differential Equation	8y(dy)/(dx)=9x^2	$8 y \frac{d y}{d x} = 9 x^{2}$
75162	Solve the Differential Equation	(df)/(dx)=8x+(3x)/( 9-x^2) 의 제곱근	$\frac{d f}{d x} = 8 x + \frac{3 x}{\sqrt{9 - x^{2}}}$
75163	Solve the Differential Equation	(dy)/(dx)+3y=3x^3e^(-3x)	$\frac{d y}{d x} + 3 y = 3 x^{3} e^{- 3 x}$
75164	Solve the Differential Equation	y''''''''+2y''''-6x-3=0	$y'''' + 2 y'' - 6 x - 3 = 0$
75165	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(2x+1)	$x^{2} \frac{d w}{d x} = \sqrt{w} (2 x + 1)$
75166	Solve the Differential Equation	(dy)/(dt)=-1/50(y-17)	$\frac{d y}{d t} = - \frac{1}{50} (y - 17)$
75167	Solve the Differential Equation	xy''''+y=x	$x y'' + y = x$
75168	Solve the Differential Equation	(dy)/(dx)=(x+y)/(x+y+2)	$\frac{d y}{d x} = \frac{x + y}{x + y + 2}$
75169	Solve the Differential Equation	xy^2y''''=x+3	$x y^{2} y'' = x + 3$
75170	Solve the Differential Equation	x(dy)/(dx)-3.5y=5x^4	$x \frac{d y}{d x} - 3.5 y = 5 x^{4}$
75171	Solve the Differential Equation	(e^xsin(y)-2ysin(x))dx+(e^xcos(y)+2cos(x))dy=0	$(e^{x} \sin (y) - 2 y \sin (x)) d x + (e^{x} \cos (y) + 2 \cos (x)) d y = 0$
75172	Solve the Differential Equation	y(dy)/(dx)=4sin(x)	$y \frac{d y}{d x} = 4 \sin (x)$
75173	Solve the Differential Equation	y''''+2y=4	$y'' + 2 y = 4$
75174	Solve the Differential Equation	x^2(dy)/(dx)=1-y	$x^{2} \frac{d y}{d x} = 1 - y$
75175	Solve the Differential Equation	(x^2-x+y^2)dx-(e^y-2xy)dy=0	$(x^{2} - x + y^{2}) d x - (e^{y} - 2 x y) d y = 0$
75176	Solve the Differential Equation	(dy)/(dx)+y/x=(y^2)/(x^2)	$\frac{d y}{d x} + \frac{y}{x} = \frac{y^{2}}{x^{2}}$
75177	Solve the Differential Equation	y''''''''+y=x	$y'''' + y = x$
75178	Solve the Differential Equation	(2x-y+1)dx+(4x-2y+3)dy=0	$(2 x - y + 1) d x + (4 x - 2 y + 3) d y = 0$
75179	Solve the Differential Equation	(dy)/(dx)=(5+3y)/(x-1)	$\frac{d y}{d x} = \frac{5 + 3 y}{x - 1}$
75180	Solve the Differential Equation	(dy)/(dt)=12t^5	$\frac{d y}{d t} = 12 t^{5}$
75181	Solve the Differential Equation	(dy)/(dx)+4/xy=x^4	$\frac{d y}{d x} + \frac{4}{x} y = x^{4}$
75182	Solve the Differential Equation	(dy)/(dx)=-x^2 , y(0)=1	$\frac{d y}{d x} = - x^{2}$ , $y (0) = 1$
75183	Solve the Differential Equation	(x^3+3xy^2)dx+(3x^2y+y^3)dy=0	$(x^{3} + 3 x y^{2}) d x + (3 x^{2} y + y^{3}) d y = 0$
75184	Solve the Differential Equation	y''''-y=e^(3x)	$y'' - y = e^{3 x}$
75185	Solve the Differential Equation	y''''''''-8y''''+41y=0	$y'''' - 8 y'' + 41 y = 0$
75186	Solve the Differential Equation	(dy)/(dx)=y/x+cosh(y/x)	$\frac{d y}{d x} = \frac{y}{x} + \cosh (\frac{y}{x})$
75187	Solve the Differential Equation	x*y''''''''-y''''=x	$x \cdot y'''' - y'' = x$
75188	Solve the Differential Equation	(dy)/(dx)=e^xe^y	$\frac{d y}{d x} = e^{x} e^{y}$
75189	Solve the Differential Equation	x^2y''''+2xy=y^3	$x^{2} y'' + 2 x y = y^{3}$
75190	Solve the Differential Equation	(dy)/(dt)=y(2-y)	$\frac{d y}{d t} = y (2 - y)$
75191	Solve the Differential Equation	y''''-y''''+2y=0	$y'' - y'' + 2 y = 0$
75192	Solve the Differential Equation	(dy)/(dx)=(y+2)(x+1)	$\frac{d y}{d x} = (y + 2) (x + 1)$
75193	Solve the Differential Equation	x(dy)/(dx)-3y=x^4	$x \frac{d y}{d x} - 3 y = x^{4}$
75194	Verify the Differential Equation Solution	x(dy)/(dx)-y=2x^2y y=Axe^(x^2)	$x \frac{d y}{d x} - y = 2 x^{2} y$ $y = A x e^{x^{2}}$
75195	Solve the Differential Equation	f(x)=(x^2-2x+4)e^x	$f (x) = (x^{2} - 2 x + 4) e^{x}$
75196	Solve the Differential Equation	ydx=(ye^y-2x)dy	$yd x = (y e^{y} - 2 x) d y$
75197	Solve the Differential Equation	(dy)/(dx)=(cos(x))/(y^2)	$\frac{d y}{d x} = \frac{\cos (x)}{y^{2}}$
75198	Solve the Differential Equation	(dy)/(dx)=x-xy	$\frac{d y}{d x} = x - x y$
75199	Solve the Differential Equation	4y(dy)/(dx)=9x^2	$4 y \frac{d y}{d x} = 9 x^{2}$
75200	Solve the Differential Equation	x^2y''''''''+2xy''''-12y=0	$x^{2} y'''' + 2 x y'' - 12 y = 0$