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Beliebt Rechnen >

y^{''}+40y^'+625y=0

Lösung

y^{^{''}} + 40 y^{^{'}} + 625 y = 0

Lösung

y = e^{- 20 t} (c_{1} cos (15 t) + c_{2} sin (15 t))

Schritte zur Lösung

y^{''} (t) + 40 y^{'} (t) + 625 y = 0

Solve linear ODE:

y = e^{- 20 t} (c_{1} cos (15 t) + c_{2} sin (15 t))

y = e^{- 20 t} (c_{1} cos (15 t) + c_{2} sin (15 t))

Graph

Beliebte Beispiele

derivative sqrt((s^2+1)/(s^2+4))

d er i v a t i v e \frac{s ^{2} + 1}{s ^{2} + 4}

integral from 0 to 1 of (17)/(x^5)

\int_{0}^{1} \frac{17}{x ^{5}} d x

integral of xsqrt(x^2+2x+2)

\int x x^{2} + 2 x + 2 d x

integral of xsin(-2x)

\int x sin (- 2 x) d x

9y^{''}+24y^'+16y=0

9 y^{^{''}} + 24 y^{^{'}} + 16 y = 0