de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+3y^'-10=0,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 3 y^{^{'}} - 10 = 0, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{10}{9} + \frac{10}{9} e^{- 3 t} + \frac{10 t}{3}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) - 10 = 0

Solve linear ODE:

y = - \frac{10}{9} + \frac{10}{9} e^{- 3 t} + \frac{10 t}{3}

y = - \frac{10}{9} + \frac{10}{9} e^{- 3 t} + \frac{10 t}{3}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+derivative of 8y+65y=100

\frac{d ^{2} y}{d x ^{2}} + \frac{d}{d x} (8 y) + 65 y = 100

y^{''}+2y^'-15y=-5x^2+3x-3

y^{^{''}} + 2 y^{^{'}} - 15 y = - 5 x^{2} + 3 x - 3

y^{''}+2y^'+37y=4\H(t)

y^{^{''}} + 2 y^{^{'}} + 37 y = 4 H (t)

5y^{''}+4y^'+8y=4x-1

5 y^{^{''}} + 4 y^{^{'}} + 8 y = 4 x - 1

4y^{''}+20y^'+169y=e^{2t}

4 y^{^{''}} + 20 y^{^{'}} + 169 y = e^{2 t}