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Beliebt Rechnen >

y^{''}-36y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} - 36 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = (1 - \frac{1}{2}) e^{6 t} + \frac{1}{2} e^{- 6 t}

Schritte zur Lösung

y^{''} (t) - 36 y = 0

Solve linear ODE:

y = (1 - \frac{1}{2}) e^{6 t} + \frac{1}{2} e^{- 6 t}

y = (1 - \frac{1}{2}) e^{6 t} + \frac{1}{2} e^{- 6 t}

Graph

Beliebte Beispiele

4y^{''}+51y^'+36y=0,y(0)=-5,y^'(0)=-20

4 y^{^{''}} + 51 y^{^{'}} + 36 y = 0, y (0) = - 5, y^{^{'}} (0) = - 20

y^{''}+9y=0,y(0)=-1,y^'(0)=sqrt(3)

y^{^{''}} + 9 y = 0, y (0) = - 1, y^{^{'}} (0) = 3

4y^{''}-4y^'+17y=0

4 y^{^{''}} - 4 y^{^{'}} + 17 y = 0

4y^{''}-2y^'+9y=0

4 y^{^{''}} - 2 y^{^{'}} + 9 y = 0

y^{''}+19y^'+90y=0

y^{^{''}} + 19 y^{^{'}} + 90 y = 0