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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{(1 + 2) t} + c_{2} e^{(1 - 2) t}

Schritte zur Lösung

2 y^{''} (t) - 4 y^{'} (t) - 2 y = 0

Solve linear ODE:

y = c_{1} e^{(1 + 2) t} + c_{2} e^{(1 - 2) t}

y = c_{1} e^{(1 + 2) t} + c_{2} e^{(1 - 2) t}

Graph

Beliebte Beispiele

4y^{''}-21y^'+20y=0,y^'(0)=-2.75

4 y^{^{''}} - 21 y^{^{'}} + 20 y = 0, y^{^{'}} (0) = - 2.75

y^{''}+4y^'+4y=0,y(0)=e^{2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = e^{2 x}

x^{''}+15x^'+24x=0

x^{^{''}} + 15 x^{^{'}} + 24 x = 0

3y^{''}-12y^'+87y=0

3 y^{^{''}} - 12 y^{^{'}} + 87 y = 0

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

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