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Beliebt Rechnen >

y^{''}-2y^'+y=3e^{2t}

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 3 e^{2 t}

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + 3 e^{2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + 3 e^{2 t}

y = c_{1} e^{t} + c_{2} t e^{t} + 3 e^{2 t}

Graph

Beliebte Beispiele

4y^{''}+4y^'+y=e^{-x/2}

4 y^{^{''}} + 4 y^{^{'}} + y = e^{- \frac{x}{2}}

y^{''''}+y^{''}=x^2+x

y^{^{''''}} + y^{^{''}} = x^{2} + x

y^{''}-y^'-6y=e^{3x}+30

y^{^{''}} - y^{^{'}} - 6 y = e^{3 x} + 30

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

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

y^{''''}-2y^{'''}+y^{''}=3x^2+2x-e^x

y^{^{''''}} - 2 y^{^{'''}} + y^{^{''}} = 3 x^{2} + 2 x - e^{x}