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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{4 t} + c_{2} e^{- 5 t} - \frac{e ^{2} t}{5} - \frac{e ^{2}}{100}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- 5 t} - \frac{e ^{2} t}{5} - \frac{e ^{2}}{100}

y = c_{1} e^{4 t} + c_{2} e^{- 5 t} - \frac{e ^{2} t}{5} - \frac{e ^{2}}{100}

Graph

Beliebte Beispiele

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)

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

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

y^{''}-2y^'-3y=6xe^{3x}

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x e^{3 x}