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Beliebt Rechnen >

6y^{''}+y^'-2y=0,y(0)=5,y^'(0)=-1

Lösung

6 y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = 5, y^{^{'}} (0) = - 1

Lösung

y = 2 e^{\frac{t}{2}} + 3 e^{- \frac{2 t}{3}}

Schritte zur Lösung

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

Solve linear ODE:

y = 2 e^{\frac{t}{2}} + 3 e^{- \frac{2 t}{3}}

y = 2 e^{\frac{t}{2}} + 3 e^{- \frac{2 t}{3}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(xcos(x))

\frac{\partial}{\partial x} (x cos (x))

integral of (2+5x)^2

\int (2 + 5 x)^{2} d x

integral of (sqrt(x)+2)

\int (x + 2) d x

derivative 3xe^{-ax}

d er i v a t i v e 3 x e^{- a x}

5t^2y^{''}+ty^'-12y=0

5 t^{2} y^{^{''}} + t y^{^{'}} - 12 y = 0