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Beliebt Rechnen >

4y^{''}+24y^'+37y=0,y(pi)=1,y^'(pi)=0

Lösung

4 y^{^{''}} + 24 y^{^{'}} + 37 y = 0, y (π) = 1, y^{^{'}} (π) = 0

Lösung

y = e^{- 3 t} (- 6 e^{3 π} cos (\frac{t}{2}) + e^{3 π} sin (\frac{t}{2}))

Schritte zur Lösung

4 y^{''} (t) + 24 y^{'} (t) + 37 y = 0

Solve linear ODE:

y = e^{- 3 t} (- 6 e^{3 π} cos (\frac{t}{2}) + e^{3 π} sin (\frac{t}{2}))

y = e^{- 3 t} (- 6 e^{3 π} cos (\frac{t}{2}) + e^{3 π} sin (\frac{t}{2}))

Graph

Beliebte Beispiele

y^{''''}-8y^{''}+16y=0

y^{^{''''}} - 8 y^{^{''}} + 16 y = 0

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linear y^{''}+2y^'+y=0

l in e a r y^{^{''}} + 2 y^{^{'}} + y = 0

(d^2y)/(dx^2)=-9y

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