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Beliebt Rechnen >

y^{'''}-8y^{''}+5y^'+y=5t

Lösung

y^{^{'''}} - 8 y^{^{''}} + 5 y^{^{'}} + y = 5 t

Lösung

y = c_{1} e^{- 0.15883 \dots t} + c_{2} e^{0.86293 \dots t} + c_{3} e^{7.29589 \dots t} + 5 t - 25

Schritte zur Lösung

y^{'''} (t) - 8 y^{''} (t) + 5 y^{'} (t) + y = 5 t

Solve linear ODE:

y = c_{1} e^{- 0.15883 \dots t} + c_{2} e^{0.86293 \dots t} + c_{3} e^{7.29589 \dots t} + 5 t - 25

y = c_{1} e^{- 0.15883 \dots t} + c_{2} e^{0.86293 \dots t} + c_{3} e^{7.29589 \dots t} + 5 t - 25

Graph

Beliebte Beispiele

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

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

D (x) = 120 x - 3580

2y^{''}-2y^'-4y=-x^2

2 y^{^{''}} - 2 y^{^{'}} - 4 y = - x^{2}

y^{''}-y^'+y=3sin(t)-9e^{2t}

y^{^{''}} - y^{^{'}} + y = 3 sin (t) - 9 e^{2 t}

y^{''}-2y+37y=e^xcos(6x)

y^{^{''}} - 2 y + 37 y = e^{x} cos (6 x)