Mathway | 인기 문제

인기 문제

순위	주제	문제	형식화된 문제
76101	Solve the Differential Equation	y''''''''=x^3	$y'''' = x^{3}$
76102	Solve the Differential Equation	(2x-y+3)dx-(4x-2y+1)dy=0	$(2 x - y + 3) d x - (4 x - 2 y + 1) d y = 0$
76103	Solve the Differential Equation	sin(4(yd)x)^2+ x-2dy=0 의 제곱근	$\sin^{2} (4 yd x) + \sqrt{x - 2} d y = 0$
76104	Solve the Differential Equation	(dy)/(dx)=y+8	$\frac{d y}{d x} = y + 8$
76105	Solve the Differential Equation	y''''-y=2xy^3	$y'' - y = 2 x y^{3}$
76106	Solve the Differential Equation	y''''+10y''''+25y=30x+3	$y'' + 10 y'' + 25 y = 30 x + 3$
76107	Solve the Differential Equation	(y^3+kxy^2-2x)dx+(3xy^2+20x^2y)dy=0	$(y^{3} + k x y^{2} - 2 x) d x + (3 x y^{2} + 20 x^{2} y) d y = 0$
76108	Solve the Differential Equation	2x^2(yd)x=(3x^3+y^3)dy	$2 x^{2} yd x = (3 x^{3} + y^{3}) d y$
76109	Solve the Differential Equation	(dx)/(dy)=e^(3x+2y)	$\frac{d x}{d y} = e^{3 x + 2 y}$
76110	Solve the Differential Equation	(dy)/(dt)=2x^-3	$\frac{d y}{d t} = 2 x^{- 3}$
76111	Solve the Differential Equation	e^(x^3-y^2)+y/(x^2)(dy)/(dx)=0	$e^{x^{3} - y^{2}} + \frac{y}{x^{2}} \cdot \frac{d y}{d x} = 0$
76112	Solve the Differential Equation	2x-2y(dy)/(dx)=0	$2 x - 2 y \frac{d y}{d x} = 0$
76113	Solve the Differential Equation	(dx)/(dt)=7e^t-5 ; , x(0)=2	$\frac{d x}{d t} = 7 e^{t} - 5$ ; , $x (0) = 2$
76114	Solve the Differential Equation	e^xy''''+e^(2x)y=sin(x)	$e^{x} y'' + e^{2 x} y = \sin (x)$
76115	Solve the Differential Equation	(y^3+y+1)dx+(x^2-3xy^2-x)dy=0	$(y^{3} + y + 1) d x + (x^{2} - 3 x y^{2} - x) d y = 0$
76116	Solve the Differential Equation	(dy)/(dx)=24x^2	$\frac{d y}{d x} = 24 x^{2}$
76117	Solve the Differential Equation	(dy)/(dx)=4x+(9x^2)/((3x^3+1)^(3/2))	$\frac{d y}{d x} = 4 x + \frac{9 x^{2}}{{(3 x^{3} + 1)}^{\frac{3}{2}}}$
76118	Solve the Differential Equation	4xy(dy)/(dx)=x^2+1	$4 x y \frac{d y}{d x} = x^{2} + 1$
76119	Solve the Differential Equation	(dy)/(dx)=(7x^2)/( 8+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{7 x^{2}}{\sqrt{8 + x^{3}}}$
76120	Solve the Differential Equation	(dy)/(dx)=10x-7 and y(6)=0	$\frac{d y}{d x} = 10 x - 7$ and $y (6) = 0$
76121	Solve the Differential Equation	(dP)/(dt)=P+P^2	$\frac{d P}{d t} = P + P^{2}$
76122	Solve the Differential Equation	9+7y''''=0	$9 + 7 y'' = 0$
76123	Solve the Differential Equation	(dy)/(dx)=8/(1+x) , y(0)=7	$\frac{d y}{d x} = \frac{8}{1 + x}$ , $y (0) = 7$
76124	Solve the Differential Equation	1/y(dy)/(dt)=61/t	$\frac{1}{y} \cdot \frac{d y}{d t} = 6 \cdot \frac{1}{t}$
76125	Solve the Differential Equation	y''''''''+4y''''-y=0	$y'''' + 4 y'' - y = 0$
76126	Solve the Differential Equation	y''''''''''''''''+4y=0	$y'''''''' + 4 y = 0$
76127	Solve the Differential Equation	(x-2)(dy)/(dx)+y=x^2-4	$(x - 2) \frac{d y}{d x} + y = x^{2} - 4$
76128	Solve the Differential Equation	y''''''''''''-2y''''''''-5y''''+6y=0	$y'''''' - 2 y'''' - 5 y'' + 6 y = 0$
76129	Solve the Differential Equation	x(dy)/(dx)-2=y^2-3y	$x \frac{d y}{d x} - 2 = y^{2} - 3 y$
76130	Solve the Differential Equation	(x^2y-y)dx-xdy=0	$(x^{2} y - y) d x - x d y = 0$
76131	Solve the Differential Equation	y''''=9x+xy	$y'' = 9 x + x y$
76132	Solve the Differential Equation	6xdx+2x(yd)y-3y^2dy=-y^2dx	$6 x d x + 2 x yd y - 3 y^{2} d y = - y^{2} d x$
76133	Solve the Differential Equation	(dy)/(dx)=2x^3 , y(0)=5	$\frac{d y}{d x} = 2 x^{3}$ , $y (0) = 5$
76134	Solve the Differential Equation	(dy)/(dx)=x^2+3x	$\frac{d y}{d x} = x^{2} + 3 x$
76135	Solve the Differential Equation	(dy)/(dx)+y/x=xe^(2x)	$\frac{d y}{d x} + \frac{y}{x} = x e^{2 x}$
76136	Solve the Differential Equation	(dx)/( 제곱근 1-x^2)+(dy)/( 제곱근 1-y^2)=0	$\frac{d x}{\sqrt{1 - x^{2}}} + \frac{d y}{\sqrt{1 - y^{2}}} = 0$
76137	Solve the Differential Equation	(d^2y)/(dx^2)+2((dy)/(dx))^3-2y=e^x	$\frac{d^{2} y}{d x^{2}} + 2 {(\frac{d y}{d x})}^{3} - 2 y = e^{x}$
76138	Solve the Differential Equation	(x+y)dy+(x-y)dx=0	$(x + y) d y + (x - y) d x = 0$
76139	Solve the Differential Equation	y''''''''-y''''-2y=sin(2x)	$y'''' - y'' - 2 y = \sin (2 x)$
76140	Solve the Differential Equation	(dy)/(dx)=x-4	$\frac{d y}{d x} = x - 4$
76141	Solve the Differential Equation	(dy)/(dx)=1/2(1+x)y^2	$\frac{d y}{d x} = \frac{1}{2} (1 + x) y^{2}$
76142	Solve the Differential Equation	x^2y''''''''-xy''''-3y=0	$x^{2} y'''' - x y'' - 3 y = 0$
76143	Solve the Differential Equation	(dy)/(dx)-7.5y=0	$\frac{d y}{d x} - 7.5 y = 0$
76144	Solve the Differential Equation	y^3+4y''''+13y''''=0	$y^{3} + 4 y'' + 13 y'' = 0$
76145	Solve the Differential Equation	(dy)/(dx)+6x^5*y=12x^5	$\frac{d y}{d x} + 6 x^{5} \cdot y = 12 x^{5}$
76146	Solve the Differential Equation	xy''''+3y=(sin(x))/(x^2)	$x y'' + 3 y = \frac{\sin (x)}{x^{2}}$
76147	Solve the Differential Equation	x(dy)/(dx)+3x^2+4y=0	$x \frac{d y}{d x} + 3 x^{2} + 4 y = 0$
76148	Solve the Differential Equation	(2xy+4x+3)dx+(x^2+2y-5)dy=0	$(2 x y + 4 x + 3) d x + (x^{2} + 2 y - 5) d y = 0$
76149	Solve the Differential Equation	y(dy)/(dx)+36x=0	$y \frac{d y}{d x} + 36 x = 0$
76150	Solve the Differential Equation	y''''-y''''+y=0	$y'' - y'' + y = 0$
76151	Solve the Differential Equation	(dy)/(dt)=e^(2t)-2y , y(1)=2	$\frac{d y}{d t} = e^{2 t} - 2 y$ , $y (1) = 2$
76152	Solve the Differential Equation	(dy)/(dx)=5x^(-3/4) , y(1)=6	$\frac{d y}{d x} = 5 x^{- \frac{3}{4}}$ , $y (1) = 6$
76153	Solve the Differential Equation	(dy)/(dt)=y(1-y)	$\frac{d y}{d t} = y (1 - y)$
76154	Solve the Differential Equation	(x+1)dx+(y-3)dy=0	$(x + 1) d x + (y - 3) d y = 0$
76155	Solve the Differential Equation	(dy)/(dx)=8x^3	$\frac{d y}{d x} = 8 x^{3}$
76156	Solve the Differential Equation	(dy)/(dx)=2x^(2/7)	$\frac{d y}{d x} = 2 x^{\frac{2}{7}}$
76157	Solve the Differential Equation	(dy)/(dx)=12x^2-8x	$\frac{d y}{d x} = 12 x^{2} - 8 x$
76158	Solve the Differential Equation	f(x)=xe^(-x^7)	$f (x) = x e^{- x^{7}}$
76159	Solve the Differential Equation	(dy)/(dx)=x(y-3)	$\frac{d y}{d x} = x (y - 3)$
76160	Solve the Differential Equation	1(2-1)dx+(1+1)dy=0	$1 (2 - 1) d x + (1 + 1) d y = 0$
76161	Solve the Differential Equation	(x^3-y)dx+xdy=0	$(x^{3} - y) d x + x d y = 0$
76162	Solve the Differential Equation	(dy)/(dt)=-ky^2	$\frac{d y}{d t} = - k y^{2}$
76163	Solve the Differential Equation	(dy)/(dx)=5x^(2/7)	$\frac{d y}{d x} = 5 x^{\frac{2}{7}}$
76164	Solve the Differential Equation	(x+xy^2)dx+e^(x^2)(yd)y=0	$(x + x y^{2}) d x + e^{x^{2}} yd y = 0$
76165	Solve the Differential Equation	y''''+ycos(x)=sin(2x)	$y'' + y \cos (x) = \sin (2 x)$
76166	Solve the Differential Equation	(dy)/(dx)=(3xy+2y^2)/(x^2)	$\frac{d y}{d x} = \frac{3 x y + 2 y^{2}}{x^{2}}$
76167	Solve the Differential Equation	x(dy)/(dx)-y=x/y	$x \frac{d y}{d x} - y = \frac{x}{y}$
76168	Solve the Differential Equation	1/y(dy)/(dt)=91/t	$\frac{1}{y} \cdot \frac{d y}{d t} = 9 \cdot \frac{1}{t}$
76169	Solve the Differential Equation	(dy)/(dx)=(6x^2+3y^2)/(3xy)	$\frac{d y}{d x} = \frac{6 x^{2} + 3 y^{2}}{3 x y}$
76170	Solve the Differential Equation	(dy)/(dx)=(2y^2)/( x) 의 제곱근	$\frac{d y}{d x} = \frac{2 y^{2}}{\sqrt{x}}$
76171	Solve the Differential Equation	(dy)/(dx)=sin(x)-e^(-x)+8x^3	$\frac{d y}{d x} = \sin (x) - e^{- x} + 8 x^{3}$
76172	Solve the Differential Equation	f(x)=(8x+1)^2	$f (x) = {(8 x + 1)}^{2}$
76173	Solve the Differential Equation	(dx)/(dt)=4e^t-7 ; , x(0)=5	$\frac{d x}{d t} = 4 e^{t} - 7$ ; , $x (0) = 5$
76174	Solve the Differential Equation	(dx)/(dt)=8-3x	$\frac{d x}{d t} = 8 - 3 x$
76175	Solve the Differential Equation	(dy)/(dx)=72x^2-24x	$\frac{d y}{d x} = 72 x^{2} - 24 x$
76176	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=3	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 3$
76177	Solve the Differential Equation	(dy)/(dt)=-by(t)	$\frac{d y}{d t} = - b y (t)$
76178	Solve the Differential Equation	(dy)/(dx)=-39x	$\frac{d y}{d x} = - 39 x$
76179	Solve the Differential Equation	(ds)/(dt)=csc(t)^2	$\frac{d s}{d t} = \csc^{2} (t)$
76180	Solve the Differential Equation	(dy)/(dx)=xcos(x^2)	$\frac{d y}{d x} = x \cos (x^{2})$
76181	Solve the Differential Equation	(dy)/(dx)(x^2+2)+4x(y^2+2y+1)=0	$\frac{d y}{d x} (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0$
76182	Solve the Differential Equation	(dx)/(dy)+x=2y	$\frac{d x}{d y} + x = 2 y$
76183	Solve the Differential Equation	(dy)/(dx)=15-3y	$\frac{d y}{d x} = 15 - 3 y$
76184	Solve the Differential Equation	(dy)/(dt)=5 t , y(1)=6 의 제곱근	$\frac{d y}{d t} = 5 \sqrt{t}$ , $y (1) = 6$
76185	Solve the Differential Equation	(x^2+1)(dy)/(dx)+3xy=0	$(x^{2} + 1) \frac{d y}{d x} + 3 x y = 0$
76186	Solve the Differential Equation	y''''+4y''''+4=0	$y'' + 4 y'' + 4 = 0$
76187	Solve the Differential Equation	(dy)/(dx)=x+4	$\frac{d y}{d x} = x + 4$
76188	Solve the Differential Equation	(3y-7x+7)dx-(3x-7y-3)dy=0	$(3 y - 7 x + 7) d x - (3 x - 7 y - 3) d y = 0$
76189	Solve the Differential Equation	(dy)/(dx)=-(2x)/(3y)	$\frac{d y}{d x} = - \frac{2 x}{3 y}$
76190	Solve the Differential Equation	y(u^2+1)du+(u^3-3u)dy=0	$y (u^{2} + 1) d u + (u^{3} - 3 u) d y = 0$
76191	Solve the Differential Equation	(1+x^2)dy+ydx=0	$(1 + x^{2}) d y + yd x = 0$
76192	Solve the Differential Equation	y''''=x^3y^2	$y'' = x^{3} y^{2}$
76193	Solve the Differential Equation	x(dy)/(dx)=y y/x 의 자연로그	$x \frac{d y}{d x} = y \ln (\frac{y}{x})$
76194	Solve the Differential Equation	(dy)/(dx)=(6x^2)/(5y)	$\frac{d y}{d x} = \frac{6 x^{2}}{5 y}$
76195	Solve the Differential Equation	y''''-2y''''+3y=0	$y'' - 2 y'' + 3 y = 0$
76196	Solve the Differential Equation	x+3y^2 x^2+1(dy)/(dx)=0 의 제곱근	$x + 3 y^{2} \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
76197	Solve the Differential Equation	y''''=y/x+1	$y'' = \frac{y}{x} + 1$
76198	Solve the Differential Equation	2(dy)/(dx)+4y=1	$2 \frac{d y}{d x} + 4 y = 1$
76199	Solve the Differential Equation	(dy)/(dx)=x^2y-2x^2	$\frac{d y}{d x} = x^{2} y - 2 x^{2}$
76200	Solve the Differential Equation	(dy)/(dx)=3x^(3/7)	$\frac{d y}{d x} = 3 x^{\frac{3}{7}}$