de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

3y^{''}-6y^'+6y=e^xsec(x)

Lösung

3 y^{^{''}} - 6 y^{^{'}} + 6 y = e^{x} sec (x)

Lösung

y = e^{x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{e ^{x} ln ( cos ( x ) ) cos ( x ) + e ^{x} x sin ( x )}{3}

Schritte zur Lösung

3 y^{''} (x) - 6 y^{'} (x) + 6 y = e^{x} sec (x)

Solve linear ODE:

y = e^{x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{e ^{x} ln ( cos ( x ) ) cos ( x ) + e ^{x} x sin ( x )}{3}

y = e^{x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{e ^{x} ln ( cos ( x ) ) cos ( x ) + e ^{x} x sin ( x )}{3}

Graph

Beliebte Beispiele

integral of 2arctan(x)

\int 2 arctan (x) d x

limit as x approaches infinity of 1/(e^{-x)x^5}

x \to \infty lim (\frac{1}{e ^{- x} x ^{5}})

derivative of 8^{4x}

\frac{d}{d x} (8^{4 x})

(\partial)/(\partial y)(xsqrt(1+y^9))

\frac{\partial}{\partial y} (x 1 + y^{9})

derivative (6x)/(3-tan(x))

d er i v a t i v e \frac{6 x}{3 - tan ( x )}