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Beliebt Rechnen >

y^{''}+8y^'+20y=0

Lösung

y^{^{''}} + 8 y^{^{'}} + 20 y = 0

Lösung

y = e^{- 4 t} (c_{1} cos (2 t) + c_{2} sin (2 t))

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 20 y = 0

Solve linear ODE:

y = e^{- 4 t} (c_{1} cos (2 t) + c_{2} sin (2 t))

y = e^{- 4 t} (c_{1} cos (2 t) + c_{2} sin (2 t))

Graph

Beliebte Beispiele

derivative of x^{1/4}cos(sqrt(7)ln(x))

(\partial)/(\partial x)(x/(y^2)sin(x/y))

integral from 1 to 4 of 7sqrt(t)ln(t)

derivative y=(7ln(x))^2

(\partial)/(\partial x)(x^e)