de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'+2y=xe^{-2x}+3x

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = x e^{- 2 x} + 3 x

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'-6y=12x-e^x

y^{^{''}} - y^{^{'}} - 6 y = 12 x - e^{x}

y^{''}+5y^'-4y=8t+8

y^{^{''}} + 5 y^{^{'}} - 4 y = 8 t + 8

y^{''}-8y^'+16y=e^x

y^{^{''}} - 8 y^{^{'}} + 16 y = e^{x}

d^2y=(2x^2+4)(x^2+3x)^4

d^{2} y = (2 x^{2} + 4) (x^{2} + 3 x)^{4}

(d^2y)/(dx^2)+3(dy)/(dx)-4y=x^2

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} - 4 y = x^{2}