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인기 문제

순위	주제	문제	형식화된 문제
75701	Solve the Differential Equation	4yy''''=x	$4 y y'' = x$
75702	Solve the Differential Equation	(dy)/(dt)=(8t^2)/(3y)	$\frac{d y}{d t} = \frac{8 t^{2}}{3 y}$
75703	Solve the Differential Equation	xdx+ydy=0	$x d x + yd y = 0$
75704	Solve the Differential Equation	y''''=(y+1)/x	$y'' = \frac{y + 1}{x}$
75705	Solve the Differential Equation	(dy)/(dx)=(y^2+xy)/(x^2)	$\frac{d y}{d x} = \frac{y^{2} + x y}{x^{2}}$
75706	Solve the Differential Equation	y''''+3y=2	$y'' + 3 y = 2$
75707	Solve the Differential Equation	(dy)/(dx)=8x+xy	$\frac{d y}{d x} = 8 x + x y$
75708	Solve the Differential Equation	(dy)/(dx)=-0.2y , y(0)=50	$\frac{d y}{d x} = - 0.2 y$ , $y (0) = 50$
75709	Solve the Differential Equation	(dy)/(dx)=x^2+x	$\frac{d y}{d x} = x^{2} + x$
75710	Solve the Differential Equation	xy^2y''''=x+9	$x y^{2} y'' = x + 9$
75711	Solve the Differential Equation	(dy)/(dx)-y=xy^3	$\frac{d y}{d x} - y = x y^{3}$
75712	Solve the Differential Equation	(dy)/(dx)=7-y	$\frac{d y}{d x} = 7 - y$
75713	Solve the Differential Equation	2 4902525(dc)/(dt)=2(1755)(540)+2(1350)(600) 의 제곱근	$2 \sqrt{4902525} \frac{d c}{d t} = 2 (1755) (540) + 2 (1350) (600)$
75714	Solve the Differential Equation	(dy)/(dx)=x^3(1-y)	$\frac{d y}{d x} = x^{3} (1 - y)$
75715	Solve the Differential Equation	(dy)/(dx) = square root of 2x+y	$\frac{d y}{d x} = \sqrt{2 x + y}$
75716	Solve the Differential Equation	(2x+3y+4)dx+(3x+4y+5)dy=0	$(2 x + 3 y + 4) d x + (3 x + 4 y + 5) d y = 0$
75717	Solve the Differential Equation	(dy)/(dx)+(2y)/x=( x)/x 의 자연로그	$\frac{d y}{d x} + \frac{2 y}{x} = \frac{\ln (x)}{x}$
75718	Solve the Differential Equation	(dy)/(dx)+4y=3cos(2x)	$\frac{d y}{d x} + 4 y = 3 \cos (2 x)$
75719	Solve the Differential Equation	(xy+1)dx+x(x+4y-2)dy=0	$(x y + 1) d x + x (x + 4 y - 2) d y = 0$
75720	Solve the Differential Equation	(x^2+y^2)dx+x(yd)y=0	$(x^{2} + y^{2}) d x + x yd y = 0$
75721	Solve the Differential Equation	(dy)/(dx)=-0.8y , y(0)=90	$\frac{d y}{d x} = - 0.8 y$ , $y (0) = 90$
75722	Solve the Differential Equation	y^3+4y''''''''+13y''''=0	$y^{3} + 4 y'''' + 13 y'' = 0$
75723	Solve the Differential Equation	(dy)/(dx)=(e^x+6)^2	$\frac{d y}{d x} = {(e^{x} + 6)}^{2}$
75724	Solve the Differential Equation	ydy-(2xy+x)dx=0	$yd y - (2 x y + x) d x = 0$
75725	Solve the Differential Equation	(dV)/(dP)=-V/(P^2)	$\frac{d V}{d P} = - \frac{V}{P^{2}}$
75726	Solve the Differential Equation	(dy)/(dx)=(x+2)(3y-1)^2	$\frac{d y}{d x} = (x + 2) {(3 y - 1)}^{2}$
75727	Solve the Differential Equation	(dy)/(dt)=( 5)/4 의 제곱근	$\frac{d y}{d t} = \frac{\sqrt{5}}{4}$
75728	Solve the Differential Equation	x(dy)/(dx)-y=2x^2+x	$x \frac{d y}{d x} - y = 2 x^{2} + x$
75729	Solve the Differential Equation	(d^5y)/(dx^5)+5(d^4y)/(dx^4)-2(d^3y)/(dx^3)-10(d^2y)/(dx^2)+(dy)/(dx)+5y=0	$\frac{d^{5} y}{d x^{5}} + 5 \frac{d^{4} y}{d x^{4}} - 2 \frac{d^{3} y}{d x^{3}} - 10 \frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} + 5 y = 0$
75730	Solve the Differential Equation	5y(dy)/(dx)=7x^2	$5 y \frac{d y}{d x} = 7 x^{2}$
75731	Solve the Differential Equation	(dy)/(dx)=(2-y)/((x+1)^2)	$\frac{d y}{d x} = \frac{2 - y}{{(x + 1)}^{2}}$
75732	Solve the Differential Equation	(dy)/(dx)=7e^(5x-y)	$\frac{d y}{d x} = 7 e^{5 x - y}$
75733	Solve the Differential Equation	y''''+2y''''+10y=0	$y'' + 2 y'' + 10 y = 0$
75734	Solve the Differential Equation	(3x^2+y^2+4)dx+(x^2-2xy)dy=0	$(3 x^{2} + y^{2} + 4) d x + (x^{2} - 2 x y) d y = 0$
75735	Solve the Differential Equation	(dr)/(ds)=0.7r	$\frac{d r}{d s} = 0.7 r$
75736	Solve the Differential Equation	(dR)/(dx)=a(R^2+4)	$\frac{d R}{d x} = a (R^{2} + 4)$
75737	Solve the Differential Equation	(dy)/(dx)=9x-y	$\frac{d y}{d x} = 9 x - y$
75738	Solve the Differential Equation	(2x^3+y^3)dx-3xy^2dy=0	$(2 x^{3} + y^{3}) d x - 3 x y^{2} d y = 0$
75739	Solve the Differential Equation	(dy)/(dx)=x^3-2x	$\frac{d y}{d x} = x^{3} - 2 x$
75740	Solve the Differential Equation	y(2-3xy)dx-xdy=0	$y (2 - 3 x y) d x - x d y = 0$
75741	Solve the Differential Equation	(dy)/(dx)=(1+x)(2+y)	$\frac{d y}{d x} = (1 + x) (2 + y)$
75742	Solve the Differential Equation	t t(dr)/(dt)+r=9te^t 의 자연로그	$t \ln (t) \frac{d r}{d t} + r = 9 t e^{t}$
75743	Solve the Differential Equation	(dy)/(dx)=x(8-y)	$\frac{d y}{d x} = x (8 - y)$
75744	Solve the Differential Equation	e^yy''''(t)=(( t)^2)/t 의 자연로그	$e^{y} y'' (t) = \frac{\ln^{2} (t)}{t}$
75745	Solve the Differential Equation	(dy)/(dx)=sin(3x-y)	$\frac{d y}{d x} = \sin (3 x - y)$
75746	Solve the Differential Equation	(dy)/(dx)+6y+ x=0 의 자연로그	$\frac{d y}{d x} + 6 y + \ln (x) = 0$
75747	Solve the Differential Equation	(x^2+xy+y^2)dx-x^2dy=0	$(x^{2} + x y + y^{2}) d x - x^{2} d y = 0$
75748	Solve the Differential Equation	(2xy^2+2y)+(2x^2y+2x)y''''=0	$(2 x y^{2} + 2 y) + (2 x^{2} y + 2 x) y'' = 0$
75749	Solve the Differential Equation	(dy)/(dt)=t^2	$\frac{d y}{d t} = t^{2}$
75750	Solve the Differential Equation	xy''''=y-xe^(y/x)	$x y'' = y - x e^{\frac{y}{x}}$
75751	Solve the Differential Equation	(dy)/(dx)+1/xy=2/3x^4y^4	$\frac{d y}{d x} + \frac{1}{x} y = \frac{2}{3} x^{4} y^{4}$
75752	Solve the Differential Equation	f(x)=x^7+1/(x^7)	$f (x) = x^{7} + \frac{1}{x^{7}}$
75753	Solve the Differential Equation	2x^2yy''''+y^2=2	$2 x^{2} y y'' + y^{2} = 2$
75754	Solve the Differential Equation	(dx)/(dt)=2/x	$\frac{d x}{d t} = \frac{2}{x}$
75755	Solve the Differential Equation	y''''=0.5y	$y'' = 0.5 y$
75756	Solve the Differential Equation	y''''=0.8y	$y'' = 0.8 y$
75757	Solve the Differential Equation	(dy)/(dx)=(2x^2)/y	$\frac{d y}{d x} = \frac{2 x^{2}}{y}$
75758	Solve the Differential Equation	(dy)/(dx)+4ye^(2x)=x	$\frac{d y}{d x} + 4 y e^{2 x} = x$
75759	Solve the Differential Equation	(dy)/(dx)=e^xsin(x)+xcos(x)	$\frac{d y}{d x} = e^{x} \sin (x) + x \cos (x)$
75760	Solve the Differential Equation	(dy)/(dx)=5x^4-sec(x)^2	$\frac{d y}{d x} = 5 x^{4} - \sec^{2} (x)$
75761	Solve the Differential Equation	(2xy)dx+(x^2-1)dy=0	$(2 x y) d x + (x^{2} - 1) d y = 0$
75762	Solve the Differential Equation	(df)/(dt)=16t+(5t)/( 1-t^2) 의 제곱근	$\frac{d f}{d t} = 16 t + \frac{5 t}{\sqrt{1 - t^{2}}}$
75763	Solve the Differential Equation	y''''=135x^2y+18xy+30x^2+4x	$y'' = 135 x^{2} y + 18 x y + 30 x^{2} + 4 x$
75764	Solve the Differential Equation	(dy)/(dx)=61/(x+6)y	$\frac{d y}{d x} = 6 \cdot \frac{1}{x + 6} \cdot y$
75765	Solve the Differential Equation	2x(yd)x-(x^2-y^2)dy=0	$2 x yd x - (x^{2} - y^{2}) d y = 0$
75766	Solve the Differential Equation	(dy)/(dx)=2x^3 , y(0)=3	$\frac{d y}{d x} = 2 x^{3}$ , $y (0) = 3$
75767	Solve the Differential Equation	x^2(dy)/(dx)+2xy=cos(x)^2	$x^{2} \frac{d y}{d x} + 2 x y = \cos^{2} (x)$
75768	Solve the Differential Equation	y''''''''+4y''''+3y=10*cos(3x)	$y'''' + 4 y'' + 3 y = 10 \cdot \cos (3 x)$
75769	Solve the Differential Equation	y''''+2xy=10x	$y'' + 2 x y = 10 x$
75770	Solve the Differential Equation	(dy)/(dt)+ty=y , y(1)=3	$\frac{d y}{d t} + t y = y$ , $y (1) = 3$
75771	Solve the Differential Equation	3xy^2dx+(3x^2y+4y^3)dy=0	$3 x y^{2} d x + (3 x^{2} y + 4 y^{3}) d y = 0$
75772	Solve the Differential Equation	x^3((d^3y)/(dx^3))^2+2x^2((d^2y)/(dx^2))^3-x(dy)/(dx)-y = natural log of x^2	$x^{3} {(\frac{d^{3} y}{d x^{3}})}^{2} + 2 x^{2} {(\frac{d^{2} y}{d x^{2}})}^{3} - x \frac{d y}{d x} - y = \ln (x^{2})$
75773	Solve the Differential Equation	y''''''''+2y''''+y=0	$y'''' + 2 y'' + y = 0$
75774	Solve the Differential Equation	(dy)/(dt)=5t	$\frac{d y}{d t} = 5 t$
75775	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=11	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 11$
75776	Solve the Differential Equation	x^2dy+(y-1)dx=0	$x^{2} d y + (y - 1) d x = 0$
75777	Solve the Differential Equation	(dy)/(dt)=x	$\frac{d y}{d t} = x$
75778	Solve the Differential Equation	y''''''''+6y''''+25y=0	$y'''' + 6 y'' + 25 y = 0$
75779	Solve the Differential Equation	2y''''-7y''''=-29	$2 y'' - 7 y'' = - 29$
75780	Solve the Differential Equation	(dy)/(dx)=(4y)/(e^x)	$\frac{d y}{d x} = \frac{4 y}{e^{x}}$
75781	Solve the Differential Equation	(dY)/(dx)=-15x^2 , Y(0)=6	$\frac{d Y}{d x} = - 15 x^{2}$ , $Y (0) = 6$
75782	Solve the Differential Equation	y''''=-2e^x-6x^3+4x+3	$y'' = - 2 e^{x} - 6 x^{3} + 4 x + 3$
75783	Solve the Differential Equation	(dy)/(dx)=e^(2x)cos(y)^2	$\frac{d y}{d x} = e^{2 x} \cos^{2} (y)$
75784	Solve the Differential Equation	(dy)/(dt)+y^2cos(2t)=0 , y(0)=1	$\frac{d y}{d t} + y^{2} \cos (2 t) = 0$ , $y (0) = 1$
75785	Solve the Differential Equation	(y-3x^2)dx+(x-1)dy=0	$(y - 3 x^{2}) d x + (x - 1) d y = 0$
75786	Solve the Differential Equation	(x+ysin(y/x))dx-xsin(y/xdy)=0	$(x + y \sin (\frac{y}{x})) d x - x \sin (\frac{y}{x} d y) = 0$
75787	Solve the Differential Equation	(x+1)dy+(2y+1-2cos(x))dx=0	$(x + 1) d y + (2 y + 1 - 2 \cos (x)) d x = 0$
75788	Solve the Differential Equation	(dy)/(dx)+2ytan(x)=sin(x)	$\frac{d y}{d x} + 2 y \tan (x) = \sin (x)$
75789	Solve the Differential Equation	(ydy)/(dx)=x	$\frac{yd y}{d x} = x$
75790	Solve the Differential Equation	(dy)/(dx)=3x^(-3/4) , y(1)=4	$\frac{d y}{d x} = 3 x^{- \frac{3}{4}}$ , $y (1) = 4$
75791	Solve the Differential Equation	(dy)/(dx)=-x/(4y)	$\frac{d y}{d x} = - \frac{x}{4 y}$
75792	Solve the Differential Equation	y''''+y=(1+x)^2	$y'' + y = {(1 + x)}^{2}$
75793	Solve the Differential Equation	(dy)/(dt)=2e^(2t)sin(e^(2t)-25) , y( 5)=0 의 자연로그	$\frac{d y}{d t} = 2 e^{2 t} \sin (e^{2 t} - 25)$ , $y (\ln (5)) = 0$
75794	Solve the Differential Equation	(dy)/(dx)=3x^3 , y(0)=7	$\frac{d y}{d x} = 3 x^{3}$ , $y (0) = 7$
75795	Solve the Differential Equation	3x(y-2)dx+(x^2+1)dy=0	$3 x (y - 2) d x + (x^{2} + 1) d y = 0$
75796	Solve the Differential Equation	f(x)=x+6/x	$f (x) = x + \frac{6}{x}$
75797	Solve the Differential Equation	(dR)/(dx)=a(R^2+1)	$\frac{d R}{d x} = a (R^{2} + 1)$
75798	Solve the Differential Equation	1/(y'''')=(x^2y^(pi-1))/(1+x)	$\frac{1}{y''} = \frac{x^{2} y^{π - 1}}{1 + x}$
75799	Solve the Differential Equation	x(dy)/(dx)+2y=x^3	$x \frac{d y}{d x} + 2 y = x^{3}$
75800	Solve the Differential Equation	y''''+2y=3e^x	$y'' + 2 y = 3 e^{x}$