(d^2y)/(dx^2)+2(dy)/(dx)+5y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 5 y = 0

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 5 y = 0

Solve linear ODE:

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

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

\frac{d}{d x} (\frac{sin ^{2} ( x )}{cos ^{2} ( x )})

\int x^{a} d x

x \to 3 lim (- x^{2} + 5 x - 2)

\frac{d}{d x} (arcsin (x^{2} + y^{2} - 2))

\int_{0}^{1} s^{2} cos (s^{3}) d s