de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}+y^{''}=x-e^{-x}

Lösung

y^{^{'''}} + y^{^{''}} = x - e^{- x}

Lösung

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{x ^{3}}{6} - \frac{x ^{2}}{2} - e^{- x} x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{x ^{3}}{6} - \frac{x ^{2}}{2} - e^{- x} x

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{x ^{3}}{6} - \frac{x ^{2}}{2} - e^{- x} x

Graph

Beliebte Beispiele

integral of xsin(1/11 x)

\int x sin (\frac{1}{11} x) d x

(\partial)/(\partial y)(z^2e^{xy})

\frac{\partial}{\partial y} (z^{2} e^{x y})

y^{''}+16y^'+65y=0

y^{^{''}} + 16 y^{^{'}} + 65 y = 0

derivative of x^2-25ln(x^2)

\frac{d}{d x} (x^{2} - 25 ln (x^{2}))

derivative f(x)= x/(x^2-6)

d er i v a t i v e f (x) = \frac{x}{x ^{2} - 6}