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Beliebt Rechnen >

y^{''}+4y^'+5y=0,y(0)=1,y^'(0)=2

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 2

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 5 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of 1/(1-3v)

\int \frac{1}{1 - 3 v} d v

limit as x approaches 9 of (x^2)/3-3/x

x \to 9 lim (\frac{x ^{2}}{3} - \frac{3}{x})

integral of 4sin^2(x)

\int 4 sin^{2} (x) d x

integral from 2 to 5 of 1

\int_{2}^{5} 1 d x

derivative of x/(x+13)

\frac{d}{d x} (\frac{x}{x + 13})