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Beliebt Rechnen >

y^{''}-10y^'+9y=e^{2x}

Lösung

y^{^{''}} - 10 y^{^{'}} + 9 y = e^{2 x}

Lösung

y = c_{1} e^{9 x} + c_{2} e^{x} - \frac{1}{7} e^{2 x}

Schritte zur Lösung

y^{''} (x) - 10 y^{'} (x) + 9 y = e^{2 x}

Solve linear ODE:

y = c_{1} e^{9 x} + c_{2} e^{x} - \frac{1}{7} e^{2 x}

y = c_{1} e^{9 x} + c_{2} e^{x} - \frac{1}{7} e^{2 x}

Graph

Beliebte Beispiele

y^{''}+y^'-6y=e^{2t}+t

y^{^{''}} + y^{^{'}} - 6 y = e^{2 t} + t

y^{'''}-3y^{''}-y^'+3y=1+e^x

y^{^{'''}} - 3 y^{^{''}} - y^{^{'}} + 3 y = 1 + e^{x}

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

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

2y^{''}+3y^'-2y=10x^2-4x-15

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 10 x^{2} - 4 x - 15

x^{'''}+10x^{''}+33x^'+36x=4te^{-3t}

x^{^{'''}} + 10 x^{^{''}} + 33 x^{^{'}} + 36 x = 4 t e^{- 3 t}