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=6x^2+x+9

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 6 x^{2} + x + 9

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 2 x^{2} - 5 x + \frac{25}{3}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 3 y = 6 x^{2} + x + 9

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 2 x^{2} - 5 x + \frac{25}{3}

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 2 x^{2} - 5 x + \frac{25}{3}

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=e^{-4t},y(0)=1,y^'(0)=5

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{- 4 t}, y (0) = 1, y^{^{'}} (0) = 5

y^{^{''}} + 8 y^{^{'}} = 8 x

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

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

y^{''}+4y=2sec^3(2t)

y^{^{''}} + 4 y = 2 sec^{3} (2 t)

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

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