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인기 문제

순위	주제	문제	형식화된 문제
77801	Solve the Differential Equation	(dy)/(dt)=2 t , y(1)=4 의 제곱근	$\frac{d y}{d t} = 2 \sqrt{t}$ , $y (1) = 4$
77802	Solve the Differential Equation	x(dy)/(dx)=1-y^2	$x \frac{d y}{d x} = 1 - y^{2}$
77803	Solve the Differential Equation	y(x+1)(dy)/(dx)=x(y^2+1)	$y (x + 1) \frac{d y}{d x} = x (y^{2} + 1)$
77804	Solve the Differential Equation	9xdy+9(yd)x+xdx=0	$9 x d y + 9 yd x + x d x = 0$
77805	Solve the Differential Equation	(dy)/(dx)=6x^(1/8)	$\frac{d y}{d x} = 6 x^{\frac{1}{8}}$
77806	Solve the Differential Equation	(dx)/(dt)=x^2+1/36	$\frac{d x}{d t} = x^{2} + \frac{1}{36}$
77807	Solve the Differential Equation	xy^2dy=(y^3-x^3)dx	$x y^{2} d y = (y^{3} - x^{3}) d x$
77808	Solve the Differential Equation	y-x(dy)/(dx)=8x^3	$y - x \frac{d y}{d x} = 8 x^{3}$
77809	Solve the Differential Equation	(dx)/(dy)=xy^2	$\frac{d x}{d y} = x y^{2}$
77810	Solve the Differential Equation	(1+y)dx+(1-x^2)dy=0	$(1 + y) d x + (1 - x^{2}) d y = 0$
77811	Solve the Differential Equation	(dy)/(dx)=x/(49y)	$\frac{d y}{d x} = \frac{x}{49 y}$
77812	Solve the Differential Equation	3/2y-xy''''=0	$\frac{3}{2} y - x y'' = 0$
77813	Solve the Differential Equation	(dy)/(dx)+9xy=8x	$\frac{d y}{d x} + 9 x y = 8 x$
77814	Solve the Differential Equation	(dy)/(dx)=12x^2-10x	$\frac{d y}{d x} = 12 x^{2} - 10 x$
77815	Solve the Differential Equation	(dy)/(dx)+xy=y	$\frac{d y}{d x} + x y = y$
77816	Solve the Differential Equation	(dy)/(dx)=3(y+2x)+1	$\frac{d y}{d x} = 3 (y + 2 x) + 1$
77817	Solve the Differential Equation	(dy)/(dx)=(y-1)/(x+3) , y(-1)=0	$\frac{d y}{d x} = \frac{y - 1}{x + 3}$ , $y (- 1) = 0$
77818	Solve the Differential Equation	f(x)=(4x+3)^2	$f (x) = {(4 x + 3)}^{2}$
77819	Solve the Differential Equation	x(x+y)dx=(x^2+y^2)dy	$x (x + y) d x = (x^{2} + y^{2}) d y$
77820	Solve the Differential Equation	(1+e^(2x))dx-e^xy^2dy=0	$(1 + e^{2 x}) d x - e^{x} y^{2} d y = 0$
77821	Solve the Differential Equation	(dy)/(dx)=8x^(3/5)	$\frac{d y}{d x} = 8 x^{\frac{3}{5}}$
77822	Solve the Differential Equation	(dy)/(dx)=6x^2-4x	$\frac{d y}{d x} = 6 x^{2} - 4 x$
77823	Solve the Differential Equation	(y'''')/(2x)=1/(x^2+1)	$\frac{y''}{2 x} = \frac{1}{x^{2} + 1}$
77824	Solve the Differential Equation	(dy)/(dx)=e^(x^2)	$\frac{d y}{d x} = e^{x^{2}}$
77825	Solve the Differential Equation	(dy)/(dx)+2/(x-2)y=(x-2)^2	$\frac{d y}{d x} + \frac{2}{x - 2} y = {(x - 2)}^{2}$
77826	Solve the Differential Equation	(dy)/(dx)=y/x+(y^2)/(x^2)+1	$\frac{d y}{d x} = \frac{y}{x} + \frac{y^{2}}{x^{2}} + 1$
77827	Solve the Differential Equation	(dr)/(dq)=100-3q^2	$\frac{d r}{d q} = 100 - 3 q^{2}$
77828	Solve the Differential Equation	(dy)/(dx)=2x^(6/7)	$\frac{d y}{d x} = 2 x^{\frac{6}{7}}$
77829	Solve the Differential Equation	2x+2y((dy)/(dx))=0	$2 x + 2 y (\frac{d y}{d x}) = 0$
77830	Solve the Differential Equation	(dy)/y+(dx)/x=0	$\frac{d y}{y} + \frac{d x}{x} = 0$
77831	Solve the Differential Equation	(xy^2+x^2y^2+3)dx+(x^2y)dy=0	$(x y^{2} + x^{2} y^{2} + 3) d x + (x^{2} y) d y = 0$
77832	Solve the Differential Equation	3y''''x+4x^3=0	$3 y'' x + 4 x^{3} = 0$
77833	Solve the Differential Equation	Solve (x+2y-3)dy+(2x-y+1)dx=0	Solve $(x + 2 y - 3) d y + (2 x - y + 1) d x = 0$
77834	Solve the Differential Equation	x^2+3y(dy)/(dx)=0	$x^{2} + 3 y \frac{d y}{d x} = 0$
77835	Solve the Differential Equation	y''''+2y''''+10y=10x^2+4x+2	$y'' + 2 y'' + 10 y = 10 x^{2} + 4 x + 2$
77836	Solve the Differential Equation	y(y^2-x)dx+x(x+y^2)dy=0	$y (y^{2} - x) d x + x (x + y^{2}) d y = 0$
77837	Solve the Differential Equation	y''''''''+3y''''+2y=e^(-x)	$y'''' + 3 y'' + 2 y = e^{- x}$
77838	Solve the Differential Equation	5y^3dx-y^2(-2x+y^2x^4)dy=0	$5 y^{3} d x - y^{2} (- 2 x + y^{2} x^{4}) d y = 0$
77839	Solve the Differential Equation	(y'''')^2-xy''''+y=0	${(y'')}^{2} - x y'' + y = 0$
77840	Solve the Differential Equation	2(12)(0.7)+2(5)(dy)/(dt)=0	$2 (12) (0.7) + 2 (5) \frac{d y}{d t} = 0$
77841	Solve the Differential Equation	(d^2y)/(dx^2)-(dy)/(dx)=0	$\frac{d^{2} y}{d x^{2}} - \frac{d y}{d x} = 0$
77842	Solve the Differential Equation	(dr)/(dtheta)=3pi	$\frac{d r}{d θ} = 3 π$
77843	Solve the Differential Equation	(dy)/(dx)=(2 y)/x 의 제곱근	$\frac{d y}{d x} = \frac{2 \sqrt{y}}{x}$
77844	Solve the Differential Equation	(dy)/(dx)-2xy^2=0	$\frac{d y}{d x} - 2 x y^{2} = 0$
77845	Solve the Differential Equation	(dy)/(dx)+1/xy=3x	$\frac{d y}{d x} + \frac{1}{x} y = 3 x$
77846	Solve the Differential Equation	y''''+2xy=e^(x^2)y^2	$y'' + 2 x y = e^{x^{2}} y^{2}$
77847	Solve the Differential Equation	x^3y''''''''''''+xy''''-y=0	$x^{3} y'''''' + x y'' - y = 0$
77848	Solve the Differential Equation	4y''''''''-y=0	$4 y'''' - y = 0$
77849	Solve the Differential Equation	2y^2y''''=3e^(2x)	$2 y^{2} y'' = 3 e^{2 x}$
77850	Solve the Differential Equation	(dy^2)/(dx)-3*(dy)/(dx)+2y=4x^2	$\frac{d y^{2}}{d x} - 3 \cdot \frac{d y}{d x} + 2 y = 4 x^{2}$
77851	Solve the Differential Equation	y''''''''+(y'''')^2=0	$y'''' + {(y'')}^{2} = 0$
77852	Solve the Differential Equation	y''''''''-4y''''+4=0	$y'''' - 4 y'' + 4 = 0$
77853	Solve the Differential Equation	y''''=(x-e^(-x))/(e^y)	$y'' = \frac{x - e^{- x}}{e^{y}}$
77854	Solve the Differential Equation	(d^2y)/(dx^2)+3(dy)/(dx)+9y=0	$\frac{d^{2} y}{d x^{2}} + 3 \frac{d y}{d x} + 9 y = 0$
77855	Solve the Differential Equation	2xyy''''=x^2+2y^2	$2 x y y'' = x^{2} + 2 y^{2}$
77856	Solve the Differential Equation	(dy)/(dt)=0	$\frac{d y}{d t} = 0$
77857	Solve the Differential Equation	(dy)/(dtheta)=4y^2sec(2theta)^2	$\frac{d y}{d θ} = 4 y^{2} \sec^{2} (2 θ)$
77858	Solve the Differential Equation	y+x(dy)/(dx)=0	$y + x \frac{d y}{d x} = 0$
77859	Solve the Differential Equation	(dr)/(dt)=4t+sec(t)^2 , r(-pi)=3	$\frac{d r}{d t} = 4 t + \sec^{2} (t)$ , $r (- π) = 3$
77860	Solve the Differential Equation	(dy)/(dx)=9+1/x , y(1)=14	$\frac{d y}{d x} = 9 + \frac{1}{x}$ , $y (1) = 14$
77861	Solve the Differential Equation	y''''=2e^xy^3	$y'' = 2 e^{x} y^{3}$
77862	Solve the Differential Equation	e^x(dy)/(dx)=4	$e^{x} \frac{d y}{d x} = 4$
77863	Solve the Differential Equation	y''''=9x^8	$y'' = 9 x^{8}$
77864	Solve the Differential Equation	y''''''''+4y=7sin(2x)	$y'''' + 4 y = 7 \sin (2 x)$
77865	Solve the Differential Equation	(dy)/(dt)=e^(-y)sin(t/3)	$\frac{d y}{d t} = e^{- y} \sin (\frac{t}{3})$
77866	Solve the Differential Equation	f(x)=(5x-3)( x+2) 의 제곱근	$f (x) = (5 x - 3) (\sqrt{x} + 2)$
77867	Solve the Differential Equation	(du)/(dv)=-(2v)/u	$\frac{d u}{d v} = - \frac{2 v}{u}$
77868	Solve the Differential Equation	Solve the differential equation (dy)/(dx)=7y^2x^3	Solve the differential equation $\frac{d y}{d x} = 7 y^{2} x^{3}$
77869	Solve the Differential Equation	y''''=csc(x)-cot(x)	$y'' = \csc (x) - \cot (x)$
77870	Solve the Differential Equation	(dH)/(dt)=-qH	$\frac{d H}{d t} = - q H$
77871	Solve the Differential Equation	(dy)/(dx)+ycos(x)=1/2sin(2x)	$\frac{d y}{d x} + y \cos (x) = \frac{1}{2} \sin (2 x)$
77872	Solve the Differential Equation	(dy)/(dx)=(x-2)/( x^2-4x+7) 의 제곱근	$\frac{d y}{d x} = \frac{x - 2}{\sqrt{x^{2} - 4 x + 7}}$
77873	Solve the Differential Equation	y''''''''+py''''+qy=0	$y'''' + p y'' + q y = 0$
77874	Solve the Differential Equation	(d^2y)/(dx^2)=xe^x	$\frac{d^{2} y}{d x^{2}} = x e^{x}$
77875	Solve the Differential Equation	(dy)/(dx)=8x^(8/9)	$\frac{d y}{d x} = 8 x^{\frac{8}{9}}$
77876	Solve the Differential Equation	(dy)/(dx)=3sin(x)	$\frac{d y}{d x} = 3 \sin (x)$
77877	Solve the Differential Equation	(d^2y)/(dx^2)=6x	$\frac{d^{2} y}{d x^{2}} = 6 x$
77878	Solve the Differential Equation	25(dq)/(dt)-(d^2q)/(dt^2)=0	$25 \frac{d q}{d t} - \frac{d^{2} q}{d t^{2}} = 0$
77879	Solve the Differential Equation	y''''+3xy=5	$y'' + 3 x y = 5$
77880	Solve the Differential Equation	(dy)/(dx)=3y+1	$\frac{d y}{d x} = 3 y + 1$
77881	Solve the Differential Equation	y''''=(2(x^2+y^2))/(xy)	$y'' = \frac{2 (x^{2} + y^{2})}{x y}$
77882	Solve the Differential Equation	11x-4y x^2+1(dy)/(dx)=0 의 제곱근	$11 x - 4 y \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
77883	Solve the Differential Equation	(dy)/(dx)=10x-3 and y(2)=0	$\frac{d y}{d x} = 10 x - 3$ and $y (2) = 0$
77884	Solve the Differential Equation	x(dy)/(dx)+y=tan(x)	$x \frac{d y}{d x} + y = \tan (x)$
77885	Solve the Differential Equation	(dy)/(dx)=(10x^2)/( 4+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{10 x^{2}}{\sqrt{4 + x^{3}}}$
77886	Solve the Differential Equation	(dy)/(dt)=8t^3	$\frac{d y}{d t} = 8 t^{3}$
77887	Solve the Differential Equation	(dy)/(dx)=(e^x)/(5+e^x)	$\frac{d y}{d x} = \frac{e^{x}}{5 + e^{x}}$
77888	Solve the Differential Equation	x''''-5tx=2t	$x'' - 5 t x = 2 t$
77889	Solve the Differential Equation	(dy)/(dx)=2ye^x , y(0)=4	$\frac{d y}{d x} = 2 y e^{x}$ , $y (0) = 4$
77890	Solve the Differential Equation	(dv)/(ds)=(s+1)/(sv+s)	$\frac{d v}{d s} = \frac{s + 1}{s v + s}$
77891	Solve the Differential Equation	y''''-(2y)/x=x^3	$y'' - \frac{2 y}{x} = x^{3}$
77892	Solve the Differential Equation	x''''=0	$x'' = 0$
77893	Solve the Differential Equation	(y-x)dx+(y+x)dy=0	$(y - x) d x + (y + x) d y = 0$
77894	Solve the Differential Equation	(df)/(dt)=y(f-c)	$\frac{d f}{d t} = y (f - c)$
77895	Solve the Differential Equation	2xy''''+y^2=1	$2 x y'' + y^{2} = 1$
77896	Solve the Differential Equation	(d^2y)/(dx^2)-2(dy)/(dx)+y=e^xsin(x)	$\frac{d^{2} y}{d x^{2}} - 2 \frac{d y}{d x} + y = e^{x} \sin (x)$
77897	Solve the Differential Equation	6y''''=(2x+1)(y^2-2y-8)	$6 y'' = (2 x + 1) (y^{2} - 2 y - 8)$
77898	Solve the Differential Equation	x*y''''=4y	$x \cdot y'' = 4 y$
77899	Solve the Differential Equation	dx-(2+x)dy=0	$d x - (2 + x) d y = 0$
77900	Solve the Differential Equation	xy^2dy+(x^2+1)dx=0	$x y^{2} d y + (x^{2} + 1) d x = 0$