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Beliebt Rechnen >

x^{''}-9x=2t^2-cos(t)

Lösung

x^{^{''}} - 9 x = 2 t^{2} - cos (t)

Lösung

x = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{2 t ^{2}}{9} - \frac{4}{81} + \frac{1}{10} cos (t)

Schritte zur Lösung

x^{''} (t) - 9 x = 2 t^{2} - cos (t)

Solve linear ODE:

x = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{2 t ^{2}}{9} - \frac{4}{81} + \frac{1}{10} cos (t)

x = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{2 t ^{2}}{9} - \frac{4}{81} + \frac{1}{10} cos (t)

Graph

Beliebte Beispiele

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

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

3y^'+2y^{''}=-10cos(3.14*t/(0.2))

3 y^{^{'}} + 2 y^{^{''}} = - 10 cos (3.14 \cdot \frac{t}{0.2})

(d^2y)/(dx^2)-5(dy)/(dx)-14y=7+4x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 14 y = 7 + 4 x

y^{''}-3y+2y=sin(e^{-x})

y^{^{''}} - 3 y + 2 y = sin (e^{- x})

y^{'''}+16y^'=t

y^{^{'''}} + 16 y^{^{'}} = t