de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y=xe^x-e^x+2e^{3x}

Lösung

y^{^{''}} + 4 y = x e^{x} - e^{x} + 2 e^{3 x}

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{e ^{x} x}{5} - \frac{7}{25} e^{x} + \frac{2}{13} e^{3 x}

Schritte zur Lösung

y^{''} (x) + 4 y = x e^{x} - e^{x} + 2 e^{3 x}

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{e ^{x} x}{5} - \frac{7}{25} e^{x} + \frac{2}{13} e^{3 x}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{e ^{x} x}{5} - \frac{7}{25} e^{x} + \frac{2}{13} e^{3 x}

Graph

Beliebte Beispiele

y^{''}+2y^'=2x+5-2e^{-2x}

y^{^{''}} + 2 y^{^{'}} = 2 x + 5 - 2 e^{- 2 x}

y^{''}+25y=x+sin(x)

y^{^{''}} + 25 y = x + sin (x)

y^{''}-4y=8e^{3x}

y^{^{''}} - 4 y = 8 e^{3 x}

x^{''}+25x=32cos(3t)

x^{^{''}} + 25 x = 32 cos (3 t)

(d^2y)/(dx^2)+(dy)/(dx)-6y=6

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 6