ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

x^2y^'+2xy=sin(3x)

解

x^{2} y^{^{'}} + 2 x y = sin (3 x)

解

y = - \frac{cos ( 3 x )}{3 x ^{2}} + \frac{c _{1}}{x ^{2}}

解答ステップ

x^{2} y^{'} (x) + 2 x y = sin (3 x)

線形 ODE を解く:

y = - \frac{cos ( 3 x )}{3 x ^{2}} + \frac{c _{1}}{x ^{2}}

y = - \frac{cos ( 3 x )}{3 x ^{2}} + \frac{c _{1}}{x ^{2}}

グラフ

人気の例

limit as x approaches 0-of (x+94)/x

x \to 0 - lim (\frac{x + 94}{x})

d/(dt)((2t)/(t^2+1))

\frac{d}{d t} (\frac{2 t}{t ^{2} + 1})

limit as h approaches 0 of (2h)^2

h \to 0 lim ((2 h)^{2})

tangent y=8e^xcos^2(x),\at x= pi/4

t an g e n t y = 8 e^{x} cos^{2} (x), at x = \frac{π}{4}

(\partial)/(\partial x)(-2cos(-3x+7))

\frac{\partial}{\partial x} (- 2 cos (- 3 x + 7))