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Beliebt Rechnen >

y^{'''}+9y^'=-18t

Lösung

y^{^{'''}} + 9 y^{^{'}} = - 18 t

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 9 y^{'} (t) = - 18 t

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+4y^'=cos(x)

y^{^{'''}} + 4 y^{^{'}} = cos (x)

y^{''}+y=sin(x)-cos(x)

y^{^{''}} + y = sin (x) - cos (x)

3x^{''}+22x^'+48x=5cos(4t)

3 x^{^{''}} + 22 x^{^{'}} + 48 x = 5 cos (4 t)

y^{''}-4y^'=x*e^{4x}

y^{^{''}} - 4 y^{^{'}} = x \cdot e^{4 x}

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

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