de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+3/2 y^'=x+e^{2x}

Lösung

y^{^{''}} + \frac{3}{2} y^{^{'}} = x + e^{2 x}

Lösung

y = c_{1} + c_{2} e^{- \frac{3 x}{2}} + \frac{x ^{2}}{3} - \frac{4 x}{9} + \frac{1}{7} e^{2 x}

Schritte zur Lösung

y^{''} (x) + \frac{3}{2} y^{'} (x) = x + e^{2 x}

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{3 x}{2}} + \frac{x ^{2}}{3} - \frac{4 x}{9} + \frac{1}{7} e^{2 x}

y = c_{1} + c_{2} e^{- \frac{3 x}{2}} + \frac{x ^{2}}{3} - \frac{4 x}{9} + \frac{1}{7} e^{2 x}

Graph

Beliebte Beispiele

(d^4y)/(dx^4)+6(dy)/(dx)=-5x^2

y^{''}+y^'-8y=9e^{3t}

y^{''}+2y^'+y=18e^{2x}-4sin(x)-x^2

3y^{''}-2y-y=2t^2-t-3e^{-3t}

y^{''}-2y^'-15y=(6t+3tt+1)e^t