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Beliebt Rechnen >

y^{''}+6y^'+10y=0,y(0)=0,y^'(0)=6

Lösung

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (0) = 0, y^{^{'}} (0) = 6

Lösung

y = 6 e^{- 3 t} sin (t)

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = 6 e^{- 3 t} sin (t)

y = 6 e^{- 3 t} sin (t)

Graph

Beliebte Beispiele

49 y^{^{''}} - 49 y = 0

(d^2y)/(dx^2)-4((dy)/(dx))-32y=0

\frac{d ^{2} y}{d x ^{2}} - 4 (\frac{d y}{d x}) - 32 y = 0

x^{''}+0.01x^'+x=0

x^{^{''}} + 0.01 x^{^{'}} + x = 0

y^{''}+0y^'+36y=0,y(0)=4,y^'(0)=0

y^{^{''}} + 0 y^{^{'}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = 0

y^{^{''}} - y - 2 y = 0