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Beliebt Rechnen >

y^{''}-12y^'+36y=14e^{6x}

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 14 e^{6 x}

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 7 x^{2} e^{6 x}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 14 e^{6 x}

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 7 x^{2} e^{6 x}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 7 x^{2} e^{6 x}

Graph

Beliebte Beispiele

y^{'''}-y^{''}-y^'+y=6e^x

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 6 e^{x}

y^{'''}-y^{''}-25y^'+25y=4-e^x+e^{5x}

y^{^{'''}} - y^{^{''}} - 25 y^{^{'}} + 25 y = 4 - e^{x} + e^{5 x}

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

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

y^{''}+4y^'+4=e^{-t}

y^{^{''}} + 4 y^{^{'}} + 4 = e^{- t}

y^{''}-4y^'+4y=3

y^{^{''}} - 4 y^{^{'}} + 4 y = 3