de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{(2 + 5) x} + c_{2} e^{(2 - 5) x} - 2 x^{2} + 21 x - 92 - \frac{3}{20} e^{- 3 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{(2 + 5) x} + c_{2} e^{(2 - 5) x} - 2 x^{2} + 21 x - 92 - \frac{3}{20} e^{- 3 x}

y = c_{1} e^{(2 + 5) x} + c_{2} e^{(2 - 5) x} - 2 x^{2} + 21 x - 92 - \frac{3}{20} e^{- 3 x}

Graph

Beliebte Beispiele

y^{''}+4y=sin(x),y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = sin (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}+3y^'+2y=12e^{-3x}

y^{^{''}} + 3 y^{^{'}} + 2 y = 12 e^{- 3 x}

y^{''}-12y^'+36y=30x+3

y^{^{''}} - 12 y^{^{'}} + 36 y = 30 x + 3

x^{''}+4x^'+40x=20sin(6t)

x^{^{''}} + 4 x^{^{'}} + 40 x = 20 sin (6 t)

y^{^{''}} - y^{^{'}} = 3