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인기 문제

순위	주제	문제	형식화된 문제
77701	Solve the Differential Equation	e^xy(dx)/(dy)=e^(-y)+e^(-2x-y)	$e^{x} y \frac{d x}{d y} = e^{- y} + e^{- 2 x - y}$
77702	Solve the Differential Equation	(x-z)dx+(y+z)dy=-x-y	$(x - z) d x + (y + z) d y = - x - y$
77703	Solve the Differential Equation	y''''-y/x=0	$y'' - \frac{y}{x} = 0$
77704	Solve the Differential Equation	2(2y^2+5xy-2y+4)dx+x(2x+2y-1)dy=0	$2 (2 y^{2} + 5 x y - 2 y + 4) d x + x (2 x + 2 y - 1) d y = 0$
77705	Solve the Differential Equation	y''''+y=6/(tan(x))	$y'' + y = \frac{6}{\tan (x)}$
77706	Solve the Differential Equation	x(dy)/(dx)+2y=x^2+6x	$x \frac{d y}{d x} + 2 y = x^{2} + 6 x$
77707	Solve the Differential Equation	(dy)/(dx)=7x^2y-2xy	$\frac{d y}{d x} = 7 x^{2} y - 2 x y$
77708	Solve the Differential Equation	(y^2+3xy^3)dx+(1-xy)dy=0	$(y^{2} + 3 x y^{3}) d x + (1 - x y) d y = 0$
77709	Solve the Differential Equation	(dy)/(dx)=e^(4-x)	$\frac{d y}{d x} = e^{4 - x}$
77710	Solve the Differential Equation	y''''=(y+x)/x	$y'' = \frac{(y + x)}{x}$
77711	Solve the Differential Equation	(ds)/(dt) = natural log of t+4t	$\frac{d s}{d t} = \ln (t) + 4 t$
77712	Solve the Differential Equation	y''''''''-4y''''+2y=0	$y'''' - 4 y'' + 2 y = 0$
77713	Solve the Differential Equation	(dy)/(dx)=5x^4y^2	$\frac{d y}{d x} = 5 x^{4} y^{2}$
77714	Solve the Differential Equation	2y*y''''+1=e^(x-1)	$2 y \cdot y'' + 1 = e^{x - 1}$
77715	Solve the Differential Equation	y''''=x/(y+2)	$y'' = \frac{x}{y + 2}$
77716	Solve the Differential Equation	(dy)/(dt)=y+t^3	$\frac{d y}{d t} = y + t^{3}$
77717	Solve the Differential Equation	(du)/(dr)=(1+ 제곱근 r)/(1+ 제곱근 u)	$\frac{d u}{d r} = \frac{1 + \sqrt{r}}{1 + \sqrt{u}}$
77718	Solve the Differential Equation	(dy)/(dx)=(5e^x-7e^(-x))^2	$\frac{d y}{d x} = {(5 e^{x} - 7 e^{- x})}^{2}$
77719	Solve the Differential Equation	(dy)/(dx)=2x+4	$\frac{d y}{d x} = 2 x + 4$
77720	Solve the Differential Equation	(y^5-4x^3y^4-10xy+2y^2-21)dx+(5xy^4-4x^4y^3-5x^2+4xy+42)dy=0	$(y^{5} - 4 x^{3} y^{4} - 10 x y + 2 y^{2} - 21) d x + (5 x y^{4} - 4 x^{4} y^{3} - 5 x^{2} + 4 x y + 42) d y = 0$
77721	Solve the Differential Equation	2(8)(0.6)+2(6)(dy)/(dt)=0	$2 (8) (0.6) + 2 (6) \frac{d y}{d t} = 0$
77722	Solve the Differential Equation	(dy)/(dx)=-0.4y , y(0)=90	$\frac{d y}{d x} = - 0.4 y$ , $y (0) = 90$
77723	Solve the Differential Equation	(dx)/(dy)+(2xy)/(y^2)-(sin(y))/(y^2)=0	$\frac{d x}{d y} + \frac{2 x y}{y^{2}} - \frac{\sin (y)}{y^{2}} = 0$
77724	Solve the Differential Equation	(dx)/(dt)=8-3x ; , x(0)=4	$\frac{d x}{d t} = 8 - 3 x$ ; , $x (0) = 4$
77725	Solve the Differential Equation	(dx)/(dt)=-3x	$\frac{d x}{d t} = - 3 x$
77726	Solve the Differential Equation	(dy)/(dx)=(sin(x))/y	$\frac{d y}{d x} = \frac{\sin (x)}{y}$
77727	Solve the Differential Equation	(dx)/(dt)+(2dy)/(dt)+2x-6y=e^t	$\frac{d x}{d t} + \frac{2 d y}{d t} + 2 x - 6 y = e^{t}$
77728	Solve the Differential Equation	(dy)/(dx)=6x^3 , y(0)=9	$\frac{d y}{d x} = 6 x^{3}$ , $y (0) = 9$
77729	Solve the Differential Equation	(dy)/(dx)=6x^(1/6)	$\frac{d y}{d x} = 6 x^{\frac{1}{6}}$
77730	Solve the Differential Equation	(ye^(xy)+2x-1)dx+(xe^(xy)-2y+1)dy=0	$(y e^{x y} + 2 x - 1) d x + (x e^{x y} - 2 y + 1) d y = 0$
77731	Verify the Differential Equation Solution	(dP)/(dt)=5 Pt , P(1)=7 의 제곱근	$\frac{d P}{d t} = 5 \sqrt{P t}$ , $P (1) = 7$
77732	Solve the Differential Equation	(dy)/(dt)+2y=7 , y(0)=1	$\frac{d y}{d t} + 2 y = 7$ , $y (0) = 1$
77733	Solve the Differential Equation	f(x)=8x^4-7x^2+5x	$f (x) = 8 x^{4} - 7 x^{2} + 5 x$
77734	Solve the Differential Equation	(1+cos(2x))(dy)/(dx)=2 , y(pi/4)=1	$(1 + \cos (2 x)) \frac{d y}{d x} = 2$ , $y (\frac{π}{4}) = 1$
77735	Solve the Differential Equation	(x^2-16)(dy)/(dx)+xy=0	$(x^{2} - 16) \frac{d y}{d x} + x y = 0$
77736	Solve the Differential Equation	(dy)/(dx)=-x^3y	$\frac{d y}{d x} = - x^{3} y$
77737	Solve the Differential Equation	(x^2+sec(y))dx+(y^2+xsec(y)tan(y))dy=0	$(x^{2} + \sec (y)) d x + (y^{2} + x \sec (y) \tan (y)) d y = 0$
77738	Solve the Differential Equation	y''''''''=-6x	$y'''' = - 6 x$
77739	Solve the Differential Equation	y''''''''+6y''''+9=0	$y'''' + 6 y'' + 9 = 0$
77740	Solve the Differential Equation	(dy)/(dx)+3y=18	$\frac{d y}{d x} + 3 y = 18$
77741	Solve the Differential Equation	(dy)/(dx)+3y=2	$\frac{d y}{d x} + 3 y = 2$
77742	Solve the Differential Equation	y''''(x)+5y=-30	$y'' (x) + 5 y = - 30$
77743	Solve the Differential Equation	(dy)/(dx)=8x-5 and y(9)=0	$\frac{d y}{d x} = 8 x - 5$ and $y (9) = 0$
77744	Solve the Differential Equation	y''''-y''''=cos(x)	$y'' - y'' = \cos (x)$
77745	Solve the Differential Equation	(2xy+y^3cos(x))dx+(x^2+3y^2sin(x))dy=0	$(2 x y + y^{3} \cos (x)) d x + (x^{2} + 3 y^{2} \sin (x)) d y = 0$
77746	Solve the Differential Equation	(x+y+6)dx+(x-y-3)dy=0	$(x + y + 6) d x + (x - y - 3) d y = 0$
77747	Solve the Differential Equation	(d^3y)/(dx^3)+(2d^2y)/(dx^2)+(dy)/(dx)+6=0	$\frac{d^{3} y}{d x^{3}} + \frac{2 d^{2} y}{d x^{2}} + \frac{d y}{d x} + 6 = 0$
77748	Solve the Differential Equation	y''''+2y''''-y=0	$y'' + 2 y'' - y = 0$
77749	Solve the Differential Equation	y''''+y/x=xy^2	$y'' + \frac{y}{x} = x y^{2}$
77750	Solve the Differential Equation	6y''''-2y=xy^4	$6 y'' - 2 y = x y^{4}$
77751	Solve the Differential Equation	(df(x))/(dx)+f(x)+x^2-2x=0	$\frac{d f (x)}{d x} + f (x) + x^{2} - 2 x = 0$
77752	Solve the Differential Equation	y''''=xe^(-y)	$y'' = x e^{- y}$
77753	Solve the Differential Equation	3x^2(yd)x+(y+x^3)dy=0	$3 x^{2} yd x + (y + x^{3}) d y = 0$
77754	Solve the Differential Equation	(dy)/(dx)=e^(3x)-x	$\frac{d y}{d x} = e^{3 x} - x$
77755	Solve the Differential Equation	(dy)/(dt)=k t 의 일곱제곱근	$\frac{d y}{d t} = k \sqrt[7]{t}$
77756	Solve the Differential Equation	(3x^2y-4x)/2dy+(xy^2-y)dx=0	$\frac{(3 x^{2} y - 4 x)}{2} d y + (x y^{2} - y) d x = 0$
77757	Solve the Differential Equation	(48x^3y-24y^2)(dy)/(dx)=-72x^2y^2	$(48 x^{3} y - 24 y^{2}) \frac{d y}{d x} = - 72 x^{2} y^{2}$
77758	Solve the Differential Equation	s^2+(ds)/(dt)=(s+1)/(st)	$s^{2} + \frac{d s}{d t} = \frac{s + 1}{s t}$
77759	Solve the Differential Equation	y''''=y^2t-y^2	$y'' = y^{2} t - y^{2}$
77760	Solve the Differential Equation	y''''''''-9y=x/(e^(3x))	$y'''' - 9 y = \frac{x}{e^{3 x}}$
77761	Solve the Differential Equation	y''''''''-3y''''+2y=e^x+2x	$y'''' - 3 y'' + 2 y = e^{x} + 2 x$
77762	Solve the Differential Equation	(dy)/(dx)=3x^2-2x	$\frac{d y}{d x} = 3 x^{2} - 2 x$
77763	Solve the Differential Equation	(2x^2t-2x^3)dt+(4x^3-6x^2+2xt^2)dx=0	$(2 x^{2} t - 2 x^{3}) d t + (4 x^{3} - 6 x^{2} + 2 x t^{2}) d x = 0$
77764	Solve the Differential Equation	1-x^2y''''+xy^2+x=0 의 제곱근	$\sqrt{1 - x^{2}} y'' + x y^{2} + x = 0$
77765	Solve the Differential Equation	2x^2y''''''''+5xy''''+y=x^2-x	$2 x^{2} y'''' + 5 x y'' + y = x^{2} - x$
77766	Solve the Differential Equation	y''''=ye^x	$y'' = y e^{x}$
77767	Solve the Differential Equation	(dy)/(dt)=6t+6t^2 , y(1)=3	$\frac{d y}{d t} = 6 t + 6 t^{2}$ , $y (1) = 3$
77768	Solve the Differential Equation	(dr)/(dq)=2000-20q-3q^2	$\frac{d r}{d q} = 2000 - 20 q - 3 q^{2}$
77769	Solve the Differential Equation	(dy)/(dx)=(10x^2)/( 3+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{10 x^{2}}{\sqrt{3 + x^{3}}}$
77770	Solve the Differential Equation	(xy)dx+(x^2+y^2)dy=0	$(x y) d x + (x^{2} + y^{2}) d y = 0$
77771	Solve the Differential Equation	(d^2y)/(dx^2)+4y=cos(2x)	$\frac{d^{2} y}{d x^{2}} + 4 y = \cos (2 x)$
77772	Solve the Differential Equation	((x^2+1)dy)/(dx)+3x(y-1)=0	$\frac{(x^{2} + 1) d y}{d x} + 3 x (y - 1) = 0$
77773	Solve the Differential Equation	(dy)/(dx)-2xy=6x	$\frac{d y}{d x} - 2 x y = 6 x$
77774	Solve the Differential Equation	(dy)/(dt)=2	$\frac{d y}{d t} = 2$
77775	Solve the Differential Equation	(dy)/(dx)+x=y	$\frac{d y}{d x} + x = y$
77776	Solve the Differential Equation	(dy)/(dx)=(xy-3y^2)/(x^3)	$\frac{d y}{d x} = \frac{x y - 3 y^{2}}{x^{3}}$
77777	Solve the Differential Equation	x+yy''''=0	$x + y y'' = 0$
77778	Solve the Differential Equation	xy''''=y+x^2sin(x)	$x y'' = y + x^{2} \sin (x)$
77779	Solve the Differential Equation	(x^2+y^2+x)dx+(xy)dy=0	$(x^{2} + y^{2} + x) d x + (x y) d y = 0$
77780	Solve the Differential Equation	(dy)/(dx)=2e^(3x)	$\frac{d y}{d x} = 2 e^{3 x}$
77781	Solve the Differential Equation	xdy+ydx+2xy^2dy=0	$x d y + yd x + 2 x y^{2} d y = 0$
77782	Solve the Differential Equation	y''''+y=3y^2	$y'' + y = 3 y^{2}$
77783	Solve the Differential Equation	(2x+2y+1)dx+(x+y-8)dy=0	$(2 x + 2 y + 1) d x + (x + y - 8) d y = 0$
77784	Solve the Differential Equation	(dy)/(dx)=y(2x^2+6)	$\frac{d y}{d x} = y (2 x^{2} + 6)$
77785	Solve the Differential Equation	(y- x^2+y^2)dx-xdy=0 의 제곱근	$(y - \sqrt{x^{2} + y^{2}}) d x - x d y = 0$
77786	Solve the Differential Equation	(dy)/(dx)+xy=3x	$\frac{d y}{d x} + x y = 3 x$
77787	Solve the Differential Equation	(dy)/(dx)=x^3(y-3) , y(0)=6	$\frac{d y}{d x} = x^{3} (y - 3)$ , $y (0) = 6$
77788	Solve the Differential Equation	y''''=(2x)/(3y^2+1)	$y'' = \frac{2 x}{3 y^{2} + 1}$
77789	Solve the Differential Equation	y^2y''''=8x	$y^{2} y'' = 8 x$
77790	Solve the Differential Equation	(dC)/(dt)=r-kC	$\frac{d C}{d t} = r - k C$
77791	Solve the Differential Equation	(dy)/(dx)=(e^x+1)y	$\frac{d y}{d x} = (e^{x} + 1) y$
77792	Solve the Differential Equation	tan(x)(dy)/(dx)-x=tan(x)^2	$\tan (x) \frac{d y}{d x} - x = \tan^{2} (x)$
77793	Solve the Differential Equation	(du)/(dt)=6+6u+t+tu	$\frac{d u}{d t} = 6 + 6 u + t + t u$
77794	Solve the Differential Equation	(dx)/(dt)=4e^t-2 ; , x(0)=2	$\frac{d x}{d t} = 4 e^{t} - 2$ ; , $x (0) = 2$
77795	Solve the Differential Equation	(dy)/(dx)=3x^(-2/3) , y(-1)=-5	$\frac{d y}{d x} = 3 x^{- \frac{2}{3}}$ , $y (- 1) = - 5$
77796	Solve the Differential Equation	x(dy)/(dx)+2y=3x	$x \frac{d y}{d x} + 2 y = 3 x$
77797	Solve the Differential Equation	(dy)/(dx)=2x^(1/2)	$\frac{d y}{d x} = 2 x^{\frac{1}{2}}$
77798	Solve the Differential Equation	(y y-2xye^y)dx+x(1-xye^y)dy=0 의 자연로그	$(y \ln (y) - 2 x y e^{y}) d x + x (1 - x y e^{y}) d y = 0$
77799	Solve the Differential Equation	(dN)/(dt)N=Nte^(t+2)	$\frac{d N}{d t} N = N t e^{t + 2}$
77800	Solve the Differential Equation	(dy)/(dx)=ycos(x) , y(0)=17	$\frac{d y}{d x} = y \cos (x)$ , $y (0) = 17$