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인기 문제

순위	주제	문제	형식화된 문제
78701	Solve the Differential Equation	y''''''''+3y''''+2y=cos(x)^2	$y'''' + 3 y'' + 2 y = \cos^{2} (x)$
78702	Solve the Differential Equation	(dy)/(dx)=(2x)/(8e^y)	$\frac{d y}{d x} = \frac{2 x}{8 e^{y}}$
78703	Solve the Differential Equation	2 y(dy)/(dx)-3x=0 의 제곱근	$2 \sqrt{y} \frac{d y}{d x} - 3 x = 0$
78704	Solve the Differential Equation	(dy)/(dx)=2+2y+x+xy	$\frac{d y}{d x} = 2 + 2 y + x + x y$
78705	Solve the Differential Equation	(dy)/(dx)+xy=x^2 , y(0)=0	$\frac{d y}{d x} + x y = x^{2}$ , $y (0) = 0$
78706	Solve the Differential Equation	(d^2y)/(dx^2)-7(dy)/(dx)+12y=e^(2x)	$\frac{d^{2} y}{d x^{2}} - 7 \frac{d y}{d x} + 12 y = e^{2 x}$
78707	Solve the Differential Equation	y''''=y+x^7e^x	$y'' = y + x^{7} e^{x}$
78708	Solve the Differential Equation	(dy)/(dx)=(sin(x))/x	$\frac{d y}{d x} = \frac{\sin (x)}{x}$
78709	Solve the Differential Equation	(dy)/(dx)=-1/( 1-x^2)+1/x 의 제곱근	$\frac{d y}{d x} = \frac{- 1}{\sqrt{1 - x^{2}}} + \frac{1}{x}$
78710	Solve the Differential Equation	(du)/(dx)=2x	$\frac{d u}{d x} = 2 x$
78711	Solve the Differential Equation	(y^2-y)dx+xdy=0	$(y^{2} - y) d x + x d y = 0$
78712	Solve the Differential Equation	(dy)/(dt)=1+y^2	$\frac{d y}{d t} = 1 + y^{2}$
78713	Solve the Differential Equation	y''''=y^2e^x-y	$y'' = y^{2} e^{x} - y$
78714	Solve the Differential Equation	y''''-3y''''-4y=8	$y'' - 3 y'' - 4 y = 8$
78715	Solve the Differential Equation	y''''''''+y=e^x+x	$y'''' + y = e^{x} + x$
78716	Solve the Differential Equation	y(2xy^2-3)dx+(3x^2y^2-3x+4y)dy=0	$y (2 x y^{2} - 3) d x + (3 x^{2} y^{2} - 3 x + 4 y) d y = 0$
78717	Solve the Differential Equation	ydx+(1-3y)xdy=3(yd)y	$yd x + (1 - 3 y) x d y = 3 yd y$
78718	Solve the Differential Equation	x^2y''''+2xy=cos(x)^2	$x^{2} y'' + 2 x y = \cos^{2} (x)$
78719	Solve the Differential Equation	x/(15y^2)=(dy)/(dx)	$\frac{x}{15 y^{2}} = \frac{d y}{d x}$
78720	Solve the Differential Equation	y''''+2/xy=x	$y'' + \frac{2}{x} y = x$
78721	Solve the Differential Equation	y''''=0.1y	$y'' = 0.1 y$
78722	Solve the Differential Equation	(sin(x))/(1+y)(dy)/(dx)=cos(x)	$\frac{\sin (x)}{1 + y} \cdot \frac{d y}{d x} = \cos (x)$
78723	Solve the Differential Equation	(d^2y)/(dx^2)-3(dy)/(dx)+2y=3x^2+5	$\frac{d^{2} y}{d x^{2}} - 3 \frac{d y}{d x} + 2 y = 3 x^{2} + 5$
78724	Solve the Differential Equation	(dy)/(dx)=(6y^2)/x	$\frac{d y}{d x} = \frac{6 y^{2}}{x}$
78725	Solve the Differential Equation	(dy)/(dx)=cos(x)+sin(x)	$\frac{d y}{d x} = \cos (x) + \sin (x)$
78726	Solve the Differential Equation	(d^3y)/(dx^3)+9(d^2y)/(dx^2)+26(dy)/(dx)+24y=0	$\frac{d^{3} y}{d x^{3}} + 9 \frac{d^{2} y}{d x^{2}} + 26 \frac{d y}{d x} + 24 y = 0$
78727	Solve the Differential Equation	y''''+5y=10	$y'' + 5 y = 10$
78728	Solve the Differential Equation	(dy)/(dx)=(2x^2)/( 2+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{2 x^{2}}{\sqrt{2 + x^{3}}}$
78729	Solve the Differential Equation	(d^3y)/(dx^3)-(d^2y)/(dx^2)-4(dy)/(dx)+4y=7-e^x+e^(2x)	$\frac{d^{3} y}{d x^{3}} - \frac{d^{2} y}{d x^{2}} - 4 \frac{d y}{d x} + 4 y = 7 - e^{x} + e^{2 x}$
78730	Solve the Differential Equation	x^2(d^2y)/(dx^2)-x((dy)/(dx))^3+y=cos(x)	$x^{2} \frac{d^{2} y}{d x^{2}} - x {(\frac{d y}{d x})}^{3} + y = \cos (x)$
78731	Solve the Differential Equation	y''''''''+4=0	$y'''' + 4 = 0$
78732	Solve the Differential Equation	(6x^2-7y^2)dx-14x(yd)y=0	$(6 x^{2} - 7 y^{2}) d x - 14 x yd y = 0$
78733	Solve the Differential Equation	1/ydx+3(yd)y=0	$\frac{1}{y} d x + 3 yd y = 0$
78734	Solve the Differential Equation	(dy)/(dx)=4x-3 and y(6)=0	$\frac{d y}{d x} = 4 x - 3$ and $y (6) = 0$
78735	Solve the Differential Equation	(dy)/(dx)=(x^2+2)/(y+1)	$\frac{d y}{d x} = \frac{x^{2} + 2}{y + 1}$
78736	Solve the Differential Equation	x^2y''''+xy+1=0	$x^{2} y'' + x y + 1 = 0$
78737	Solve the Differential Equation	(dy)/(dx)=-(x+y)/x	$\frac{d y}{d x} = - \frac{x + y}{x}$
78738	Solve the Differential Equation	(dy)/(dx)=(x+1)/x	$\frac{d y}{d x} = \frac{x + 1}{x}$
78739	Solve the Differential Equation	x(dy)/(dx)-2y=x^3e^x	$x \frac{d y}{d x} - 2 y = x^{3} e^{x}$
78740	Solve the Differential Equation	(dy)/(dx)=4x^(3/5)	$\frac{d y}{d x} = 4 x^{\frac{3}{5}}$
78741	Solve the Differential Equation	(dy)/(dx)=3x^3 y 의 제곱근	$\frac{d y}{d x} = 3 x^{3} \sqrt{y}$
78742	Solve the Differential Equation	y''''+y/x=y^3	$y'' + \frac{y}{x} = y^{3}$
78743	Solve the Differential Equation	x^2y''''-2xy=3y^4	$x^{2} y'' - 2 x y = 3 y^{4}$
78744	Solve the Differential Equation	(dy)/(dx)=4x+9/x	$\frac{d y}{d x} = 4 x + \frac{9}{x}$
78745	Solve the Differential Equation	y^2dx+(xy+x^2)dy=0	$y^{2} d x + (x y + x^{2}) d y = 0$
78746	Solve the Differential Equation	(dy)/(dx)=3(y+1)	$\frac{d y}{d x} = 3 (y + 1)$
78747	Solve the Differential Equation	(dy)/(dx)=(9x^2)/( 5+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{9 x^{2}}{\sqrt{5 + x^{3}}}$
78748	Solve the Differential Equation	1-12x^2y''''=x 의 제곱근	$\sqrt{1 - 12 x^{2}} y'' = x$
78749	Solve the Differential Equation	f(t)=2t^4	$f (t) = 2 t^{4}$
78750	Solve the Differential Equation	(3x^2+2y)dx+2xdy=0	$(3 x^{2} + 2 y) d x + 2 x d y = 0$
78751	Solve the Differential Equation	y''''=e^(xy)	$y'' = e^{x y}$
78752	Solve the Differential Equation	1/(x^2)(1-x^2y)dx+(y-x)dy=0	$\frac{1}{x^{2}} (1 - x^{2} y) d x + (y - x) d y = 0$
78753	Solve the Differential Equation	y^5(dy)/(dx)=3x^4y^6-6x^4	$y^{5} \frac{d y}{d x} = 3 x^{4} y^{6} - 6 x^{4}$
78754	Solve the Differential Equation	y''''+(4/x)y=x^3y^2	$y'' + (\frac{4}{x}) y = x^{3} y^{2}$
78755	Solve the Differential Equation	(dy)/(dx)=(e^x)/(1+e^x)	$\frac{d y}{d x} = \frac{e^{x}}{1 + e^{x}}$
78756	Solve the Differential Equation	(x+6)y''''=8y	$(x + 6) y'' = 8 y$
78757	Solve the Differential Equation	(dy)/(dx)=0.3y	$\frac{d y}{d x} = 0.3 y$
78758	Solve the Differential Equation	(dy)/(2x)+y^2dx=0	$\frac{d y}{2 x} + y^{2} d x = 0$
78759	Solve the Differential Equation	(dy)/(dx)=(7y+3)/(5x-4)	$\frac{d y}{d x} = \frac{7 y + 3}{5 x - 4}$
78760	Solve the Differential Equation	(dy)/(dx)+2y=xe^x	$\frac{d y}{d x} + 2 y = x e^{x}$
78761	Solve the Differential Equation	(dy)/(dx)=x^2-2x-4	$\frac{d y}{d x} = x^{2} - 2 x - 4$
78762	Solve the Differential Equation	y''''''''''''+y''''=2x^2+4sin(x)	$y'''''' + y'' = 2 x^{2} + 4 \sin (x)$
78763	Solve the Differential Equation	y''''=(y^2+xy^2)/(x^2y-x^2)	$y'' = \frac{y^{2} + x y^{2}}{x^{2} y - x^{2}}$
78764	Solve the Differential Equation	y''''=(x^2+2)/y	$y'' = \frac{x^{2} + 2}{y}$
78765	Solve the Differential Equation	2(24)(0.6)+2(7)(dy)/(dt)=0	$2 (24) (0.6) + 2 (7) \frac{d y}{d t} = 0$
78766	Solve the Differential Equation	2y x(dy)/(dx)=y^2+2 의 제곱근	$2 y \sqrt{x} \frac{d y}{d x} = y^{2} + 2$
78767	Solve the Differential Equation	(dy)/(dx)=(9x^8)/(6e^y)	$\frac{d y}{d x} = \frac{9 x^{8}}{6 e^{y}}$
78768	Solve the Differential Equation	y''''''''=(x+y'''')^2	$y'''' = {(x + y'')}^{2}$
78769	Solve the Differential Equation	y''''''''+(cos(x))y=0	$y'''' + (\cos (x)) y = 0$
78770	Solve the Differential Equation	xy''''-y=y^(2/3)	$x y'' - y = y^{\frac{2}{3}}$
78771	Solve the Differential Equation	(dy)/(dx)=xy^2 , y(0)=5	$\frac{d y}{d x} = x y^{2}$ , $y (0) = 5$
78772	Solve the Differential Equation	(6y^3-xy-y)dx+2xdy=0	$(6 y^{3} - x y - y) d x + 2 x d y = 0$
78773	Solve the Differential Equation	(dy)/(dx)+4/(x^2-1)y=0	$\frac{d y}{d x} + \frac{4}{x^{2} - 1} y = 0$
78774	Solve the Differential Equation	y''''-2y=5	$y'' - 2 y = 5$
78775	Solve the Differential Equation	(dy)/(dx)+5y=e^(5x)	$\frac{d y}{d x} + 5 y = e^{5 x}$
78776	Solve the Differential Equation	g(x)=3x^2-x+5	$g (x) = 3 x^{2} - x + 5$
78777	Solve the Differential Equation	y''''=(x^2-y^2)/(xy)	$y'' = \frac{(x^{2} - y^{2})}{x y}$
78778	Solve the Differential Equation	(x+7)y''''=5y	$(x + 7) y'' = 5 y$
78779	Solve the Differential Equation	y''''-3y=2e^(-3t)	$y'' - 3 y = 2 e^{- 3 t}$
78780	Solve the Differential Equation	(dy)/(dx)-x^7e^y=8e^y	$\frac{d y}{d x} - x^{7} e^{y} = 8 e^{y}$
78781	Solve the Differential Equation	2x(yd)x+(y^2-x^2)dy=0	$2 x yd x + (y^{2} - x^{2}) d y = 0$
78782	Solve the Differential Equation	x((dy)/(dx))=y+2xe^(-y/x)	$x (\frac{d y}{d x}) = y + 2 x e^{- \frac{y}{x}}$
78783	Solve the Differential Equation	y(x^2-1)dy-x(y^2-1)dx=0	$y (x^{2} - 1) d y - x (y^{2} - 1) d x = 0$
78784	Solve the Differential Equation	y''''=1+1/(x-y)	$y'' = 1 + \frac{1}{x - y}$
78785	Solve the Differential Equation	(dy)/(dx)=-3y^2	$\frac{d y}{d x} = - 3 y^{2}$
78786	Solve the Differential Equation	4y''''''''+24y''''+37y=0	$4 y'''' + 24 y'' + 37 y = 0$
78787	Solve the Differential Equation	y''''=e^yt+e^y	$y'' = e^{y} t + e^{y}$
78788	Solve the Differential Equation	x(y^2-1)dy-y(x^2-1)dx=0	$x (y^{2} - 1) d y - y (x^{2} - 1) d x = 0$
78789	Solve the Differential Equation	(dI)/(dS)=-1+7142.86/S	$\frac{d I}{d S} = - 1 + \frac{7142.86}{S}$
78790	Solve the Differential Equation	2(y-4x^2)dx+xdy=0	$2 (y - 4 x^{2}) d x + x d y = 0$
78791	Solve the Differential Equation	(ds)/(dh)=k/h	$\frac{d s}{d h} = \frac{k}{h}$
78792	Solve the Differential Equation	(2y^2-6xy)dx+(3xy-4x^2)dy=0	$(2 y^{2} - 6 x y) d x + (3 x y - 4 x^{2}) d y = 0$
78793	Solve the Differential Equation	(dy)/(dx)=7x^(8/9)	$\frac{d y}{d x} = 7 x^{\frac{8}{9}}$
78794	Solve the Differential Equation	1/(e^x)+2=x-3(dy)/(dx)	$\frac{1}{e^{x}} + 2 = x - 3 \frac{d y}{d x}$
78795	Solve the Differential Equation	f(x)=5.2x+2.3	$f (x) = 5.2 x + 2.3$
78796	Solve the Differential Equation	-6y''''+18x^2=0	$- 6 y'' + 18 x^{2} = 0$
78797	Solve the Differential Equation	x(dy)/(dx)-2y=4x^3y^(1/2)	$x \frac{d y}{d x} - 2 y = 4 x^{3} y^{\frac{1}{2}}$
78798	Solve the Differential Equation	y''''=6x^5	$y'' = 6 x^{5}$
78799	Solve the Differential Equation	x^5(yd)x+(y^4+3y^2)csc(x)dy=0	$x^{5} yd x + ((y^{4} + 3 y^{2}) \csc (x)) d y = 0$
78800	Solve the Differential Equation	(dP)/(dt)=500-0.12P	$\frac{d P}{d t} = 500 - 0.12 P$