de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-2y^'+10y=0,y(0)=1,y^'(0)=5

Lösung

y^{^{''}} - 2 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 5

Lösung

y = e^{t} (cos (3 t) + \frac{4}{3} sin (3 t))

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = e^{t} (cos (3 t) + \frac{4}{3} sin (3 t))

y = e^{t} (cos (3 t) + \frac{4}{3} sin (3 t))

Graph

Beliebte Beispiele

y^{''}+4y=0,y(pi/6)=5,y(0)=-2

y^{^{''}} + 4 y = 0, y (\frac{π}{6}) = 5, y (0) = - 2

y^{''}+y=0,y^'(0)=1

y^{^{''}} + y = 0, y^{^{'}} (0) = 1

y^{^{''}} + 4 y + 4 y = 0

y^{''}-10y^'+16y=0

y^{^{''}} - 10 y^{^{'}} + 16 y = 0

y^{''}+y=0,y(pi/2)=5,y(0)=1

y^{^{''}} + y = 0, y (\frac{π}{2}) = 5, y (0) = 1