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Beliebt Rechnen >

y^{''}-2y^'-15y=0,y(0)=1,y^'(0)=37

Lösung

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 1, y^{^{'}} (0) = 37

Lösung

y = 5 e^{5 t} - 4 e^{- 3 t}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 15 y = 0

Solve linear ODE:

y = 5 e^{5 t} - 4 e^{- 3 t}

y = 5 e^{5 t} - 4 e^{- 3 t}

Graph

Beliebte Beispiele

2u^{''}+3/5 u^'+30\H(t)=0

2 u^{^{''}} + \frac{3}{5} u^{^{'}} + 30 H (t) = 0

49y^{''}-112y^'+64y=0

49 y^{^{''}} - 112 y^{^{'}} + 64 y = 0

-(d^2y)/(dx^2)+400y=0

- \frac{d ^{2} y}{d x ^{2}} + 400 y = 0

y^{''}-2y=0,y(0)=1,y^'(0)=6

y^{^{''}} - 2 y = 0, y (0) = 1, y^{^{'}} (0) = 6

y^{''}+25y=0,y^'(pi)=0,y^'(0)=0

y^{^{''}} + 25 y = 0, y^{^{'}} (π) = 0, y^{^{'}} (0) = 0