de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y^'+3y=5e^2x

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 5 e^{2} x

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + \frac{5 e ^{2} x}{3} - \frac{20 e ^{2}}{9}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 3 y = 5 e^{2} x

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + \frac{5 e ^{2} x}{3} - \frac{20 e ^{2}}{9}

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + \frac{5 e ^{2} x}{3} - \frac{20 e ^{2}}{9}

Graph

Beliebte Beispiele

y^{''}+13y=7e^{3x}

y^{^{''}} + 13 y = 7 e^{3 x}

y^{''}+4y^'+3y=-19te^{4t}

y^{^{''}} + 4 y^{^{'}} + 3 y = - 19 t e^{4 t}

2 y^{^{''}} - y^{^{'}} = 7

y^{''}+y^'-6y=x^2-x+e^{2x}

y^{^{''}} + y^{^{'}} - 6 y = x^{2} - x + e^{2 x}

y^{''}-10y^'+25y=6e^{-5x}

y^{^{''}} - 10 y^{^{'}} + 25 y = 6 e^{- 5 x}