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Beliebt Rechnen >

y^{''}-y^'=te^t

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} + \frac{e ^{t} t ^{2}}{2} - e^{t} t + e^{t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) = t e^{t}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} + \frac{e ^{t} t ^{2}}{2} - e^{t} t + e^{t}

y = c_{1} e^{t} + c_{2} + \frac{e ^{t} t ^{2}}{2} - e^{t} t + e^{t}

Graph

Beliebte Beispiele

x^{''}-x=e^tsin(e^{-t})cos(e^{-t})

x^{^{''}} - x = e^{t} sin (e^{- t}) cos (e^{- t})

y^{''}+y^'-20y=4e^2t

y^{^{''}} + y^{^{'}} - 20 y = 4 e^{2} t

y^{''}+4y^'=2sin(2x)

y^{^{''}} + 4 y^{^{'}} = 2 sin (2 x)

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

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

y^{''}-3y^'=4sin(x)

y^{^{''}} - 3 y^{^{'}} = 4 sin (x)