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Beliebt Rechnen >

y^{''}-y^'-12y=5e^{2x}-4

Lösung

y^{^{''}} - y^{^{'}} - 12 y = 5 e^{2 x} - 4

Lösung

y = c_{1} e^{4 x} + c_{2} e^{- 3 x} - \frac{1}{2} e^{2 x} + \frac{1}{3}

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 12 y = 5 e^{2 x} - 4

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- 3 x} - \frac{1}{2} e^{2 x} + \frac{1}{3}

y = c_{1} e^{4 x} + c_{2} e^{- 3 x} - \frac{1}{2} e^{2 x} + \frac{1}{3}

Graph

Beliebte Beispiele

y^{''}+4y^'+8y=x+e^x

y^{^{''}} + 4 y^{^{'}} + 8 y = x + e^{x}

y^{''}+4y=2e^{2t}+4cos(3t)

y^{^{''}} + 4 y = 2 e^{2 t} + 4 cos (3 t)

y^{''}-16y^'=2e^{4x}

y^{^{''}} - 16 y^{^{'}} = 2 e^{4 x}

y^{'''}+4y^'=t^2+2t

y^{^{'''}} + 4 y^{^{'}} = t^{2} + 2 t

y^{''}-y=sin(t),y(0)=1,y^'(0)=1

y^{^{''}} - y = sin (t), y (0) = 1, y^{^{'}} (0) = 1