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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- t} sin (2 t)

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = e^{- t} sin (2 t)

y = e^{- t} sin (2 t)

Graph

Beliebte Beispiele

y^{^{''}} + α y = 0

y^{''}-13y^'+36y=0

y^{^{''}} - 13 y^{^{'}} + 36 y = 0

y^{''}+12y^'+32y=0,y(0)=7,y^'(0)=-36

y^{^{''}} + 12 y^{^{'}} + 32 y = 0, y (0) = 7, y^{^{'}} (0) = - 36

y^{''}-4y^'+13y=0,y(0)=8,y^'(0)=-2

y^{^{''}} - 4 y^{^{'}} + 13 y = 0, y (0) = 8, y^{^{'}} (0) = - 2

(d^2f)/(dx^2)+f(x)=0

\frac{d ^{2} f}{d x ^{2}} + f (x) = 0