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Beliebt Rechnen >

y^{'''}-y^'=2sin(t)

Lösung

y^{^{'''}} - y^{^{'}} = 2 sin (t)

Lösung

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + cos (t)

Schritte zur Lösung

y^{'''} (t) - y^{'} (t) = 2 sin (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + cos (t)

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + cos (t)

Graph

Beliebte Beispiele

y^{''}-4y^'+4y=t^3e^2t,y(0)=0,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{3} e^{2} t, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+2y^'+5y=e^xsin(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = e^{x} sin (2 x)

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

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

y^{''}+16y^'+64y=t^{-2}e^{-8t}

y^{^{''}} + 16 y^{^{'}} + 64 y = t^{- 2} e^{- 8 t}

y^{''}+6y^'+9y=e^{3x}+2

y^{^{''}} + 6 y^{^{'}} + 9 y = e^{3 x} + 2