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Beliebt Rechnen >

y^{''}-9y=0,y^'(0)=0

Lösung

y^{^{''}} - 9 y = 0, y^{^{'}} (0) = 0

Lösung

y = c_{2} e^{3 t} + c_{2} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) - 9 y = 0

Solve linear ODE:

y = c_{2} e^{3 t} + c_{2} e^{- 3 t}

y = c_{2} e^{3 t} + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

y^{''}-25y=0,y(0)=1,y^'(0)=0

y^{^{''}} - 25 y = 0, y (0) = 1, y^{^{'}} (0) = 0

(d^2y)/(dx^2)-7(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} = 0

(1/9 d^2-8d-2)y=0

(\frac{1}{9} d^{2} - 8 d - 2) y = 0

y^{''}-25y=0,y(0)=0,y^'(0)=20

y^{^{''}} - 25 y = 0, y (0) = 0, y^{^{'}} (0) = 20

y^{''}+6y^'+34y=0,y(0)=2,y^'(0)=-4

y^{^{''}} + 6 y^{^{'}} + 34 y = 0, y (0) = 2, y^{^{'}} (0) = - 4