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Beliebt Rechnen >

y^{''}-2y^'-15y=0,y(0)=2,y^'(0)=6

Lösung

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 2, y^{^{'}} (0) = 6

Lösung

y = (2 - \frac{1}{2}) e^{5 t} + \frac{1}{2} e^{- 3 t}

Schritte zur Lösung

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

Solve linear ODE:

y = (2 - \frac{1}{2}) e^{5 t} + \frac{1}{2} e^{- 3 t}

y = (2 - \frac{1}{2}) e^{5 t} + \frac{1}{2} e^{- 3 t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)=5y,y(0)=-2,y(2)=10

\frac{d ^{2} y}{d x ^{2}} = 5 y, y (0) = - 2, y (2) = 10

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

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

y^{''}+10y^'+5y=0

y^{^{''}} + 10 y^{^{'}} + 5 y = 0

y^{''}+y^'+12y=0,y(0)=1

y^{^{''}} + y^{^{'}} + 12 y = 0, y (0) = 1

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