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Beliebt Rechnen >

3y^{''}-16y^'+5y=0,y(0)=-3,y^'(0)=4

Lösung

3 y^{^{''}} - 16 y^{^{'}} + 5 y = 0, y (0) = - 3, y^{^{'}} (0) = 4

Lösung

y = (- 3 + \frac{57}{14}) e^{5 t} - \frac{57}{14} e^{\frac{t}{3}}

Schritte zur Lösung

3 y^{''} (t) - 16 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = (- 3 + \frac{57}{14}) e^{5 t} - \frac{57}{14} e^{\frac{t}{3}}

y = (- 3 + \frac{57}{14}) e^{5 t} - \frac{57}{14} e^{\frac{t}{3}}

Graph

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