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Beliebt Rechnen >

y^{''}+18y^'+82y=2e^{-9x}cos(x)

Lösung

y^{^{''}} + 18 y^{^{'}} + 82 y = 2 e^{- 9 x} cos (x)

Lösung

y = e^{- 9 x} (c_{1} cos (x) + c_{2} sin (x)) + e^{- 9 x} x sin (x)

Schritte zur Lösung

y^{''} (x) + 18 y^{'} (x) + 82 y = 2 e^{- 9 x} cos (x)

Solve linear ODE:

y = e^{- 9 x} (c_{1} cos (x) + c_{2} sin (x)) + e^{- 9 x} x sin (x)

y = e^{- 9 x} (c_{1} cos (x) + c_{2} sin (x)) + e^{- 9 x} x sin (x)

Graph

Beliebte Beispiele

y^{''}+9y^'=t^2e^{3t}+6

y^{^{''}} + 9 y^{^{'}} = t^{2} e^{3 t} + 6

(d^2y)/(dt^2)-12(dy)/(dt)+36y=7+4t

\frac{d ^{2} y}{d t ^{2}} - 12 \frac{d y}{d t} + 36 y = 7 + 4 t

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

l in e a r y^{^{''}} + y^{^{'}} + 2 y = sin (x)

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

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

y^{''}-15y^'+54y=e^{ax}

y^{^{''}} - 15 y^{^{'}} + 54 y = e^{a x}