Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
74801	Solve the Differential Equation	x(2y+1)dy+2(y^2+y+2x^2)dx=0	$x (2 y + 1) d y + 2 (y^{2} + y + 2 x^{2}) d x = 0$
74802	Solve the Differential Equation	xy(dy)/(dx)=1-x^2	$x y \frac{d y}{d x} = 1 - x^{2}$
74803	Solve the Differential Equation	(2xy-50x+14y-350)dx+(6xy-10x-150y+250)dy=0	$(2 x y - 50 x + 14 y - 350) d x + (6 x y - 10 x - 150 y + 250) d y = 0$
74804	Solve the Differential Equation	(dy)/(dx)=-1/(e^(3x))	$\frac{d y}{d x} = - \frac{1}{e^{3 x}}$
74805	Solve the Differential Equation	(dy)/(dt)=2 t , y(1)=9 의 제곱근	$\frac{d y}{d t} = 2 \sqrt{t}$ , $y (1) = 9$
74806	Solve the Differential Equation	(dy)/(dx)=15/((3x+1)^2e^(2y+6))	$\frac{d y}{d x} = \frac{15}{{(3 x + 1)}^{2} e^{2 y + 6}}$
74807	Solve the Differential Equation	(dy)/(dx)=x^6y	$\frac{d y}{d x} = x^{6} y$
74808	Solve the Differential Equation	(dy)/(dx)=2e^(x-y) , y(0) = natural log of 9	$\frac{d y}{d x} = 2 e^{x - y}$ , $y (0) = \ln (9)$
74809	Solve the Differential Equation	(3y^2+2)(dy)/(dx)=1	$(3 y^{2} + 2) \frac{d y}{d x} = 1$
74810	Solve the Differential Equation	10xy(dy)/(dx)=1-y^2	$10 x y \frac{d y}{d x} = 1 - y^{2}$
74811	Solve the Differential Equation	xy+x+(dy)/(dx)y+(dy)/(dx)yx=0	$x \cdot y + x + \frac{d y}{d x} \cdot y + \frac{d y}{d x} \cdot y \cdot x = 0$
74812	Solve the Differential Equation	y''''=y+3	$y'' = y + 3$
74813	Solve the Differential Equation	(dy)/(dx)=x x 의 자연로그	$\frac{d y}{d x} = x \ln (x)$
74814	Solve the Differential Equation	3(y+1)dx+x(yd)y=0	$3 (y + 1) d x + x yd y = 0$
74815	Solve the Differential Equation	1+y^2-xyy''''=0	$1 + y^{2} - x y y'' = 0$
74816	Solve the Differential Equation	x^2y^2y''''+1=y	$x^{2} y^{2} y'' + 1 = y$
74817	Solve the Differential Equation	(dy)/(dx)=(1+2y)/(1+x)	$\frac{d y}{d x} = \frac{1 + 2 y}{1 + x}$
74818	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(8x+2)	$x^{2} \frac{d w}{d x} = \sqrt{w} (8 x + 2)$
74819	Solve the Differential Equation	(dy)/(dx)=-2x+3y-5	$\frac{d y}{d x} = - 2 x + 3 y - 5$
74820	Solve the Differential Equation	(dy)/(dx)=19/x	$\frac{d y}{d x} = \frac{19}{x}$
74821	Solve the Differential Equation	(e^(-y)+1)^-2e^xdx+(e^(-x)+1)^-3e^ydy=0	${(e^{- y} + 1)}^{- 2} e^{x} d x + {(e^{- x} + 1)}^{- 3} e^{y} d y = 0$
74822	Solve the Differential Equation	1/(y^2)(1+ xy)dx+(x/(y^3)-3)dy=0 의 자연로그	$\frac{1}{y^{2}} (1 + \ln (x y)) d x + (\frac{x}{y^{3}} - 3) d y = 0$
74823	Solve the Differential Equation	(3ye^(3x)-2x)dx+e^(3x)dy=0	$(3 y e^{3 x} - 2 x) d x + e^{3 x} d y = 0$
74824	Solve the Differential Equation	(dy)/(dt)-y=t+1	$\frac{d y}{d t} - y = t + 1$
74825	Solve the Differential Equation	(dy)/(dx)-y=10	$\frac{d y}{d x} - y = 10$
74826	Solve the Differential Equation	y''''=(x^2)/(y^2)	$y'' = \frac{x^{2}}{y^{2}}$
74827	Solve the Differential Equation	y''''+2y=6	$y'' + 2 y = 6$
74828	Solve the Differential Equation	(ds)/(dt)=((s^3-s)(4t^3-6t))/((t^4-3t^2)(3s^2-1))	$\frac{d s}{d t} = \frac{(s^{3} - s) (4 t^{3} - 6 t)}{(t^{4} - 3 t^{2}) (3 s^{2} - 1)}$
74829	Solve the Differential Equation	(x/y)y''''+2y=0	$(\frac{x}{y}) y'' + 2 y = 0$
74830	Solve the Differential Equation	(dy)/(dx)=e^(9x-9y)	$\frac{d y}{d x} = e^{9 x - 9 y}$
74831	Solve the Differential Equation	(dy)/(dx)=15x^2-12x	$\frac{d y}{d x} = 15 x^{2} - 12 x$
74832	Solve the Differential Equation	(dy)/(dx)=(2xy)/(x^2+1)	$\frac{d y}{d x} = \frac{2 x y}{x^{2} + 1}$
74833	Solve the Differential Equation	x+3y^2 x^2+1(dy)/(dx)=0 , y(0)=1 의 제곱근	$x + 3 y^{2} \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$ , $y (0) = 1$
74834	Solve the Differential Equation	(df)/(dx)=-x/f	$\frac{d f}{d x} = - \frac{x}{f}$
74835	Solve the Differential Equation	(dy)/(dx)=x/y , y(0)=-6	$\frac{d y}{d x} = \frac{x}{y}$ , $y (0) = - 6$
74836	Solve the Differential Equation	(dr)/(dq)=10-1/16q	$\frac{d r}{d q} = 10 - \frac{1}{16} q$
74837	Solve the Differential Equation	(x-y)dx-xdy=0	$(x - y) d x - x d y = 0$
74838	Solve the Differential Equation	(dy)/(dx) = square root of 7x+y^2	$\frac{d y}{d x} = \sqrt{7 x + y^{2}}$
74839	Solve the Differential Equation	1/3y''''-5y=0	$\frac{1}{3} y'' - 5 y = 0$
74840	Solve the Differential Equation	2xyy''''=4x^2+3y^2	$2 x y y'' = 4 x^{2} + 3 y^{2}$
74841	Solve the Differential Equation	(dy)/(dx)=4e^(0.8x)-0.5y	$\frac{d y}{d x} = 4 e^{0.8 x} - 0.5 y$
74842	Solve the Differential Equation	(dy)/(dx)=(xy)/(x+5)	$\frac{d y}{d x} = \frac{x y}{x + 5}$
74843	Solve the Differential Equation	(dy)/(dx)+3y=x	$\frac{d y}{d x} + 3 y = x$
74844	Solve the Differential Equation	(x^2-1)y^3dx+x^2dy=0	$(x^{2} - 1) y^{3} d x + x^{2} d y = 0$
74845	Solve the Differential Equation	(dy)/(dt)-ty=-y	$\frac{d y}{d t} - t y = - y$
74846	Solve the Differential Equation	(dy)/(dx)=(y-1)sin(2x)	$\frac{d y}{d x} = (y - 1) \sin (2 x)$
74847	Solve the Differential Equation	(xdy)/(dx)-y=x^2sin(x)	$\frac{x d y}{d x} - y = x^{2} \sin (x)$
74848	Solve the Differential Equation	(20+x^2)y''''-2xy=0	$(20 + x^{2}) y'' - 2 x y = 0$
74849	Solve the Differential Equation	(6x+y^2)dx+(2xy-3y^2)dy=0	$(6 x + y^{2}) d x + (2 x y - 3 y^{2}) d y = 0$
74850	Solve the Differential Equation	(dy)/(dx)=(5x)/(6y)	$\frac{d y}{d x} = \frac{5 x}{6 y}$
74851	Solve the Differential Equation	y''''=sin(5x)	$y'' = \sin (5 x)$
74852	Solve the Differential Equation	ydx+(3+3x-y)dy=0	$yd x + (3 + 3 x - y) d y = 0$
74853	Solve the Differential Equation	(dy)/(dx)=y^2+xy^2	$\frac{d y}{d x} = y^{2} + x y^{2}$
74854	Solve the Differential Equation	x^2dy=y^2dx	$x^{2} d y = y^{2} d x$
74855	Solve the Differential Equation	(dy)/(dx)+2y=12	$\frac{d y}{d x} + 2 y = 12$
74856	Solve the Differential Equation	(dy)/(dx)=2e^yx	$\frac{d y}{d x} = 2 e^{y} x$
74857	Solve the Differential Equation	y''''''''''''''''+4y''''''''+4y=0	$y'''''''' + 4 y'''' + 4 y = 0$
74858	Solve the Differential Equation	(y( 자연로그 x- 자연로그 y)+x)dx+x( 자연로그 y- 자연로그 x)dy=0	$(y (\ln (x) - \ln (y)) + x) d x + x (\ln (y) - \ln (x)) d y = 0$
74859	Solve the Differential Equation	ydx-xdy+x(2-y)dy=y^4e^ydy	$yd x - x d y + x (2 - y) d y = y^{4} e^{y} d y$
74860	Solve the Differential Equation	(2+x)y''''-xy=0	$(2 + x) y'' - x y = 0$
74861	Solve the Differential Equation	(dy)/(dx)=1/(x^2)-x	$\frac{d y}{d x} = \frac{1}{x^{2}} - x$
74862	Solve the Differential Equation	(dy)/(dx)=(y^2)/(x^2+1)	$\frac{d y}{d x} = \frac{y^{2}}{x^{2} + 1}$
74863	Solve the Differential Equation	(dy)/(dx)=(cos(x))/(3y-y^2)	$\frac{d y}{d x} = \frac{\cos (x)}{3 y - y^{2}}$
74864	Solve the Differential Equation	(dy)/(dx)=6x^2-12x	$\frac{d y}{d x} = 6 x^{2} - 12 x$
74865	Solve the Differential Equation	y''''''''''''+y''''''''=0	$y'''''' + y'''' = 0$
74866	Solve the Differential Equation	x(dy)/(dx)=y-y^2 x 의 자연로그	$x \frac{d y}{d x} = y - y^{2} \ln (x)$
74867	Solve the Differential Equation	x^2(dy)/(dx)+y=x^2y^2	$x^{2} \frac{d y}{d x} + y = x^{2} y^{2}$
74868	Solve the Differential Equation	(dy)/(dx)=4x^3-6x^2+5x	$\frac{d y}{d x} = 4 x^{3} - 6 x^{2} + 5 x$
74869	Solve the Differential Equation	ye^(3x)dx=(4+e^(3x))dy	$y e^{3 x} d x = (4 + e^{3 x}) d y$
74870	Solve the Differential Equation	xdx=ydy	$x d x = yd y$
74871	Solve the Differential Equation	(2xy+3)dy-y^2dx=0	$(2 x y + 3) d y - y^{2} d x = 0$
74872	Solve the Differential Equation	x-xy-y''''=0	$x - x y - y'' = 0$
74873	Solve the Differential Equation	2(20)(dx)/(dt)=2(5 17)(-4) 의 제곱근	$2 (20) \frac{d x}{d t} = 2 (5 \sqrt{17}) (- 4)$
74874	Solve the Differential Equation	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
74875	Solve the Differential Equation	(x^2-y^2)dx+3x(yd)y=0	$(x^{2} - y^{2}) d x + 3 x yd y = 0$
74876	Solve the Differential Equation	(x^5+3y)dx-xdy=0	$(x^{5} + 3 y) d x - x d y = 0$
74877	Solve the Differential Equation	(dy)/(dx)=(10x^9)/(5e^y)	$\frac{d y}{d x} = \frac{10 x^{9}}{5 e^{y}}$
74878	Solve the Differential Equation	(dy)/(dx)=(2x-1)/(y^2)	$\frac{d y}{d x} = \frac{2 x - 1}{y^{2}}$
74879	Solve the Differential Equation	(dy)/(dx)=(3x)/(5y)	$\frac{d y}{d x} = \frac{3 x}{5 y}$
74880	Solve the Differential Equation	(dy)/(dx)-(2y)/x=x^2	$\frac{d y}{d x} - \frac{2 y}{x} = x^{2}$
74881	Solve the Differential Equation	y''''=csc(x)-ycot(x)	$y'' = \csc (x) - y \cot (x)$
74882	Solve the Differential Equation	(dx)/(dy)=y/(x^2)	$\frac{d x}{d y} = \frac{y}{x^{2}}$
74883	Solve the Differential Equation	y''''=(x^3-2y)/x	$y'' = \frac{x^{3} - 2 y}{x}$
74884	Solve the Differential Equation	(dy)/(dx)=x^2y+x	$\frac{d y}{d x} = x^{2} y + x$
74885	Solve the Differential Equation	y''''=y-x	$y'' = y - x$
74886	Solve the Differential Equation	(x^2-9)y''''+xy=0	$(x^{2} - 9) y'' + x y = 0$
74887	Solve the Differential Equation	(dy)/(dx)+3y=12	$\frac{d y}{d x} + 3 y = 12$
74888	Solve the Differential Equation	(dy)/(dx)=y/x+x^2+y^2	$\frac{d y}{d x} = \frac{y}{x} + x^{2} + y^{2}$
74889	Solve the Differential Equation	x(dy)/(dx)+5y=x^2	$x \frac{d y}{d x} + 5 y = x^{2}$
74890	Solve the Differential Equation	(dy)/(dx)=3sin(x)^2cos(x)	$\frac{d y}{d x} = 3 \sin^{2} (x) \cos (x)$
74891	Solve the Differential Equation	y''''''''-y''''+2y=0	$y'''' - y'' + 2 y = 0$
74892	Solve the Differential Equation	(dy)/(dx)=1/((xy)^2)	$\frac{d y}{d x} = \frac{1}{{(x y)}^{2}}$
74893	Solve the Differential Equation	(y^2e^(xy^2)+4x^3)dx+(2xye^(xy^2)-3y^2)dy=0	$(y^{2} e^{x y^{2}} + 4 x^{3}) d x + (2 x y e^{x y^{2}} - 3 y^{2}) d y = 0$
74894	Solve the Differential Equation	(dy)/(dx)=x/(3-y)	$\frac{d y}{d x} = \frac{x}{3 - y}$
74895	Solve the Differential Equation	x(dy)/(dx)=y+2 xy 의 제곱근	$x \frac{d y}{d x} = y + 2 \sqrt{x y}$
74896	Solve the Differential Equation	(dy)/(dt)=y+2	$\frac{d y}{d t} = y + 2$
74897	Solve the Differential Equation	(dy)/(dx) = cube root of x , y(1)=2	$\frac{d y}{d x} = \sqrt[3]{x}$ , $y (1) = 2$
74898	Solve the Differential Equation	(dy)/(dx)=e^ycos(x)	$\frac{d y}{d x} = e^{y} \cos (x)$
74899	Solve the Differential Equation	y''''=2x-1	$y'' = 2 x - 1$
74900	Solve the Differential Equation	(dy)/(dx)+ycos(x)=0	$\frac{d y}{d x} + y \cos (x) = 0$