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인기 문제

순위	주제	문제	형식화된 문제
75901	Solve the Differential Equation	x(1+x^2)dx+y(1+y^2)dy=0	$x (1 + x^{2}) d x + y (1 + y^{2}) d y = 0$
75902	Solve the Differential Equation	y((d^2x)/(dy^2))=y^2+1	$y (\frac{d^{2} x}{d y^{2}}) = y^{2} + 1$
75903	Solve the Differential Equation	y''''''''+y''''-6y=2x	$y'''' + y'' - 6 y = 2 x$
75904	Solve the Differential Equation	(x-2y)dx-xdy=0	$(x - 2 y) d x - x d y = 0$
75905	Solve the Differential Equation	e^(x+y)+(dy)/(dx)=0	$e^{x + y} + \frac{d y}{d x} = 0$
75906	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=9	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 9$
75907	Solve the Differential Equation	(dy)/(dx)=(y^2)/(e^x)	$\frac{d y}{d x} = \frac{y^{2}}{e^{x}}$
75908	Solve the Differential Equation	(dy)/(dx)=x^2+2x	$\frac{d y}{d x} = x^{2} + 2 x$
75909	Solve the Differential Equation	y(dy)/(dx)=x^2	$y \frac{d y}{d x} = x^{2}$
75910	Solve the Differential Equation	(1-x)dy-y^2dx=0	$(1 - x) d y - y^{2} d x = 0$
75911	Solve the Differential Equation	2(dy(t))/(dt)+y(t)=5x(t)	$2 \frac{d y (t)}{d t} + y (t) = 5 x (t)$
75912	Solve the Differential Equation	(dy)/(dx)=2xy-y	$\frac{d y}{d x} = 2 x y - y$
75913	Solve the Differential Equation	y''''=6x-y	$y'' = 6 x - y$
75914	Solve the Differential Equation	(dy)/(dt)=-y+t^2	$\frac{d y}{d t} = - y + t^{2}$
75915	Solve the Differential Equation	(dy)/(dx)=8x^(3/8)	$\frac{d y}{d x} = 8 x^{\frac{3}{8}}$
75916	Solve the Differential Equation	(dy)/(dx)=x^3-2xy	$\frac{d y}{d x} = x^{3} - 2 x y$
75917	Solve the Differential Equation	(dy)/(dx)=y(5x^2+6)	$\frac{d y}{d x} = y (5 x^{2} + 6)$
75918	Solve the Differential Equation	(dy)/(dx)=e^(x-y) , y(0)=2	$\frac{d y}{d x} = e^{x - y}$ , $y (0) = 2$
75919	Solve the Differential Equation	(dy)/(dx)-2/xy=3/(x^2)y^4	$\frac{d y}{d x} - \frac{2}{x} y = \frac{3}{x^{2}} y^{4}$
75920	Solve the Differential Equation	(dy)/(dx)=-x^2y	$\frac{d y}{d x} = - x^{2} y$
75921	Solve the Differential Equation	(dy)/(dx)+(4y)/x=x	$\frac{d y}{d x} + \frac{4 y}{x} = x$
75922	Solve the Differential Equation	(dy)/(dx)=(2y)/x+4	$\frac{d y}{d x} = \frac{2 y}{x} + 4$
75923	Solve the Differential Equation	(dy)/(dx)=(2y)/x+x^2cos(x)	$\frac{d y}{d x} = \frac{2 y}{x} + x^{2} \cos (x)$
75924	Solve the Differential Equation	x(dy)/(dx)=1	$x \frac{d y}{d x} = 1$
75925	Solve the Differential Equation	(dI)/(dt)+50I=5	$\frac{d I}{d t} + 50 I = 5$
75926	Solve the Differential Equation	xy^2dx+y^3sec(xdy)=0	$x y^{2} d x + y^{3} \sec (x d y) = 0$
75927	Solve the Differential Equation	y''''''''+2y''''+y=e^x	$y'''' + 2 y'' + y = e^{x}$
75928	Solve the Differential Equation	y''''-ytan(x)=0	$y'' - y \tan (x) = 0$
75929	Solve the Differential Equation	(dN)/(dt)+N=Nte^(t+2)	$\frac{d N}{d t} + N = N t e^{t + 2}$
75930	Solve the Differential Equation	x^5y''''+y^5=0	$x^{5} y'' + y^{5} = 0$
75931	Solve the Differential Equation	(dy)/(dx)=2x+xy	$\frac{d y}{d x} = 2 x + x y$
75932	Solve the Differential Equation	(dy)/(dx)=18x^2-6x	$\frac{d y}{d x} = 18 x^{2} - 6 x$
75933	Solve the Differential Equation	(1+ 자연로그 x+y/x)dx+(-1+ 자연로그 x)dy=0	$(1 + \ln (x) + \frac{y}{x}) d x + (- 1 + \ln (x)) d y = 0$
75934	Solve the Differential Equation	(dy)/(dx)=y/(1+x)	$\frac{d y}{d x} = \frac{y}{1 + x}$
75935	Solve the Differential Equation	(dy)/(dx)=29-y	$\frac{d y}{d x} = 29 - y$
75936	Solve the Differential Equation	(d^2y)/(dx^2)=x	$\frac{d^{2} y}{d x^{2}} = x$
75937	Solve the Differential Equation	f(x)=x-3	$f (x) = x - 3$
75938	Solve the Differential Equation	xcos(x)(dy)/(dx)+y(xsin(x)+cos(x))=1	$x \cos (x) \frac{d y}{d x} + y (x \sin (x) + \cos (x)) = 1$
75939	Solve the Differential Equation	(dy)/(dt)=-1/50(y-21)	$\frac{d y}{d t} = - \frac{1}{50} (y - 21)$
75940	Solve the Differential Equation	(dy)/(dx)=x^2-x	$\frac{d y}{d x} = x^{2} - x$
75941	Solve the Differential Equation	(dy)/(dx)=-37x	$\frac{d y}{d x} = - 37 x$
75942	Solve the Differential Equation	(dy)/(dx)=(18-6x^2)/( x^3-9x+7) 의 제곱근	$\frac{d y}{d x} = \frac{18 - 6 x^{2}}{\sqrt{x^{3} - 9 x + 7}}$
75943	Solve the Differential Equation	y''''+y=5y^2	$y'' + y = 5 y^{2}$
75944	Solve the Differential Equation	x(dy)/(dx)-5y=x^2	$x \frac{d y}{d x} - 5 y = x^{2}$
75945	Solve the Differential Equation	(ds)/(dt)=8sin(t-pi/12)^2 , s(0)=2	$\frac{d s}{d t} = 8 \sin^{2} (t - \frac{π}{12})$ , $s (0) = 2$
75946	Solve the Differential Equation	(dy)/(dx)+7y=11e^(3x)	$\frac{d y}{d x} + 7 y = 11 e^{3 x}$
75947	Solve the Differential Equation	(dy)/(dx)=2x^2 y 의 제곱근	$\frac{d y}{d x} = 2 x^{2} \sqrt{y}$
75948	Solve the Differential Equation	(dy)/(dx)=(x^2)/(y(1+x^2))	$\frac{d y}{d x} = \frac{x^{2}}{y (1 + x^{2})}$
75949	Solve the Differential Equation	xy''''-y^2=0	$x y'' - y^{2} = 0$
75950	Solve the Differential Equation	69xdy+420(yd)x=0	$69 x d y + 420 yd x = 0$
75951	Solve the Differential Equation	(dy)/(dx)-y-y^3e^(2x)=0	$\frac{d y}{d x} - y - y^{3} e^{2 x} = 0$
75952	Solve the Differential Equation	(dy)/(dt)=(ty)^2	$\frac{d y}{d t} = {(t y)}^{2}$
75953	Solve the Differential Equation	(12y^2-6xy^2)dx+(3xy-4x^2)dy=0	$(12 y^{2} - 6 x y^{2}) d x + (3 x y - 4 x^{2}) d y = 0$
75954	Solve the Differential Equation	(dx)/(dt)=(x-1)(1-2x)	$\frac{d x}{d t} = (x - 1) (1 - 2 x)$
75955	Solve the Differential Equation	(dy)/(dx)=(y*cos(x))/(1-2y)	$\frac{d y}{d x} = \frac{y \cdot \cos (x)}{1 - 2 y}$
75956	Solve the Differential Equation	f(x)=3/x	$f (x) = \frac{3}{x}$
75957	Solve the Differential Equation	(dy)/(dx)=4cos(e^(2x))sin(e^(2x))e^(2x)	$\frac{d y}{d x} = 4 \cos (e^{2 x}) \sin (e^{2 x}) e^{2 x}$
75958	Solve the Differential Equation	17x+8yy''''=0	$17 x + 8 y y'' = 0$
75959	Solve the Differential Equation	y''''=y^2cos(x)	$y'' = y^{2} \cos (x)$
75960	Solve the Differential Equation	y^2y''''=x^2	$y^{2} y'' = x^{2}$
75961	Solve the Differential Equation	(y-3x^2)dx-(4y-x)dy=0	$(y - 3 x^{2}) d x - (4 y - x) d y = 0$
75962	Solve the Differential Equation	4e^(4y)(dy)/(dx)=2xe^(3x)+3e^(4y)	$4 e^{4 y} \frac{d y}{d x} = 2 x e^{3 x} + 3 e^{4 y}$
75963	Solve the Differential Equation	(dy)/(dx)+1/xy=y^3	$\frac{d y}{d x} + \frac{1}{x} y = y^{3}$
75964	Solve the Differential Equation	x^2y''''+y^2=0	$x^{2} y'' + y^{2} = 0$
75965	Solve the Differential Equation	x^2(dy)/(dx)+sin(x)-y=0	$x^{2} \frac{d y}{d x} + \sin (x) - y = 0$
75966	Solve the Differential Equation	(dy)/(dx)=(9x^2)/( 3+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{9 x^{2}}{\sqrt{3 + x^{3}}}$
75967	Solve the Differential Equation	(dy)/(dt)=2e^(2t)sin(e^(2t)-16) , y( 4)=0 의 자연로그	$\frac{d y}{d t} = 2 e^{2 t} \sin (e^{2 t} - 16)$ , $y (\ln (4)) = 0$
75968	Solve the Differential Equation	(dy)/(dt)=y+t	$\frac{d y}{d t} = y + t$
75969	Solve the Differential Equation	(d^2s)/(dt^2)=-4sin(2t-pi/2) , s(0)=0	$\frac{d^{2} s}{d t^{2}} = - 4 \sin (2 t - \frac{π}{2})$ , $s (0) = 0$
75970	Solve the Differential Equation	(dy)/(dx)=10x-7 and y(8)=0	$\frac{d y}{d x} = 10 x - 7$ and $y (8) = 0$
75971	Solve the Differential Equation	(dy)/(dx)=(x+1)/y	$\frac{d y}{d x} = \frac{(x + 1)}{y}$
75972	Solve the Differential Equation	(dy)/(dx)+y/x=x^4	$\frac{d y}{d x} + \frac{y}{x} = x^{4}$
75973	Solve the Differential Equation	3y(dy)/(dx)=11x^2	$3 y \frac{d y}{d x} = 11 x^{2}$
75974	Solve the Differential Equation	(dy)/(dx)+x=3	$\frac{d y}{d x} + x = 3$
75975	Solve the Differential Equation	(dy)/(dx)=(4y)/(xy-3x)	$\frac{d y}{d x} = \frac{4 y}{x y - 3 x}$
75976	Solve the Differential Equation	(dy)/(dx)=2-0.02y	$\frac{d y}{d x} = 2 - 0.02 y$
75977	Solve the Differential Equation	(dy)/(dx)=(3x^2)/(4y)	$\frac{d y}{d x} = \frac{3 x^{2}}{4 y}$
75978	Solve the Differential Equation	(dy)/(dx)=csc(x) , y(4)=-5	$\frac{d y}{d x} = \csc (x)$ , $y (4) = - 5$
75979	Solve the Differential Equation	(dx)/(dy)+x/y=sin(y)	$\frac{d x}{d y} + \frac{x}{y} = \sin (y)$
75980	Solve the Differential Equation	y''''''''=1	$y'''' = 1$
75981	Solve the Differential Equation	(d^2y)/(dx^2)+y=tan(x)	$\frac{d^{2} y}{d x^{2}} + y = \tan (x)$
75982	Solve the Differential Equation	y''''=y+e^x	$y'' = y + e^{x}$
75983	Solve the Differential Equation	(dr)/(ds)=0.55r	$\frac{d r}{d s} = 0.55 r$
75984	Solve the Differential Equation	xdx-y^2dy=0	$x d x - y^{2} d y = 0$
75985	Solve the Differential Equation	f(x)=(x+3/x)(x^2-5)	$f (x) = (x + \frac{3}{x}) (x^{2} - 5)$
75986	Solve the Differential Equation	(1+x^3)dy-x^2(yd)x=0	$(1 + x^{3}) d y - x^{2} yd x = 0$
75987	Solve the Differential Equation	(dv)/(dt)=4/(1+t^2)+sec(t)^2 , v(0)=2	$\frac{d v}{d t} = \frac{4}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 2$
75988	Solve the Differential Equation	(dt)/(dn)-pt=e^(3n)-nt	$\frac{d t}{d n} - p t = e^{3 n} - n t$
75989	Solve the Differential Equation	2yt^3dy+3y^2t^2dt=0	$2 y t^{3} d y + 3 y^{2} t^{2} d t = 0$
75990	Solve the Differential Equation	(dy)/(dx)=2x^(3/5)	$\frac{d y}{d x} = 2 x^{\frac{3}{5}}$
75991	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(3x+2)	$x^{2} \frac{d w}{d x} = \sqrt{w} (3 x + 2)$
75992	Solve the Differential Equation	(dy)/(dx)=(3+y)^2	$\frac{d y}{d x} = {(3 + y)}^{2}$
75993	Solve the Differential Equation	y''''+e^(xy)=e^xy^2	$y'' + e^{x y} = e^{x} y^{2}$
75994	Solve the Differential Equation	yy''''=x+1	$y y'' = x + 1$
75995	Solve the Differential Equation	xy''''+2y=3x	$x y'' + 2 y = 3 x$
75996	Solve the Differential Equation	y''''+y=t+e^(-2t)	$y'' + y = t + e^{- 2 t}$
75997	Solve the Differential Equation	x(dy)/(dx)-3y=x^3	$x \frac{d y}{d x} - 3 y = x^{3}$
75998	Solve the Differential Equation	(dy)/(dx)+x=8y	$\frac{d y}{d x} + x = 8 y$
75999	Solve the Differential Equation	3x(dy)/(dx)-3y=3x	$3 x \frac{d y}{d x} - 3 y = 3 x$
76000	Solve the Differential Equation	(dy)/(dx)=2x^3	$\frac{d y}{d x} = 2 x^{3}$