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Beliebt Rechnen >

y^{''}+10y^'+41y=0

Lösung

y^{^{''}} + 10 y^{^{'}} + 41 y = 0

Lösung

y = e^{- 5 t} (c_{1} cos (4 t) + c_{2} sin (4 t))

Schritte zur Lösung

y^{''} (t) + 10 y^{'} (t) + 41 y = 0

Solve linear ODE:

y = e^{- 5 t} (c_{1} cos (4 t) + c_{2} sin (4 t))

y = e^{- 5 t} (c_{1} cos (4 t) + c_{2} sin (4 t))

Graph

Beliebte Beispiele

integral of (x^2+2)e^{-x}

\int (x^{2} + 2) e^{- x} d x

sum from n=3 to infinity of 4^{(n+2)}

n = 3 \sum \infty 4^{(n + 2)}

integral of (x^2+x+1)/x

\int \frac{x ^{2} + x + 1}{x} d x

(1+xy)y^'+y^2=0

(1 + x y) y^{^{'}} + y^{2} = 0

derivative y=(arctan(5x))^2

d er i v a t i v e y = (arctan (5 x))^{2}