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Beliebt Rechnen >

y^{''}-2y^'-2y=0,y(0)=0,y^'(0)=3

Lösung

y^{^{''}} - 2 y^{^{'}} - 2 y = 0, y (0) = 0, y^{^{'}} (0) = 3

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2 y^{^{''}} - 3 y + y = 0

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

y^{''}-13y^'+40y=0

y^{^{''}} - 13 y^{^{'}} + 40 y = 0

4y^{''}+3y^'=0,y(0)=-2,y^'(0)=3

4 y^{^{''}} + 3 y^{^{'}} = 0, y (0) = - 2, y^{^{'}} (0) = 3

y^{''}-8y^'+16y=0,y(0)=1,y(1)=0

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = 1, y (1) = 0