de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2y)/(dx^2)+(dy)/(dx)+8y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 8 y = 0

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{31 x}{2}) + c_{2} sin (\frac{31 x}{2}))

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 8 y = 0

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{31 x}{2}) + c_{2} sin (\frac{31 x}{2}))

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{31 x}{2}) + c_{2} sin (\frac{31 x}{2}))

Graph

Beliebte Beispiele

y^{''}+2y^'=0,y(0)=14,y^'(0)=-10

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = 14, y^{^{'}} (0) = - 10

y^{''}-14y^'+85y=0,y(0)=2,y^'(0)=-4

y^{^{''}} - 14 y^{^{'}} + 85 y = 0, y (0) = 2, y^{^{'}} (0) = - 4

x^{''}-2ax^'+a^2x=0

x^{^{''}} - 2 a x^{^{'}} + a^{2} x = 0

14y^{''}+3y^'-2y=0

14 y^{^{''}} + 3 y^{^{'}} - 2 y = 0

y^{''}+0.6y^'+8y=0

y^{^{''}} + 0.6 y^{^{'}} + 8 y = 0