de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{(- 2 + 6) x} + c_{2} e^{(- 2 - 6) x} - \frac{x ^{3}}{2} - 3 x^{2} - \frac{27 x}{2} - 30

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{(- 2 + 6) x} + c_{2} e^{(- 2 - 6) x} - \frac{x ^{3}}{2} - 3 x^{2} - \frac{27 x}{2} - 30

y = c_{1} e^{(- 2 + 6) x} + c_{2} e^{(- 2 - 6) x} - \frac{x ^{3}}{2} - 3 x^{2} - \frac{27 x}{2} - 30

Graph

Beliebte Beispiele

(d^2+d-6)y=e^{-3}x

(d^{2} + d - 6) y = e^{- 3} x

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

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

y^{''}-2y^'-3y=et,y(0)=2,y^'(0)=4

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

x^{''}+23.04x=2cos(5t)

x^{^{''}} + 23.04 x = 2 cos (5 t)

y^{''}+4y=9,ty(0)=0,y^'(0)=7

y^{^{''}} + 4 y = 9, t y (0) = 0, y^{^{'}} (0) = 7