(d^2y)/(dx^2)+4/5 (dy)/(dx)+8/5 y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{4}{5} \frac{d y}{d x} + \frac{8}{5} y = 0

y = e^{- \frac{2 x}{5}} (c_{1} cos (\frac{6 x}{5}) + c_{2} sin (\frac{6 x}{5}))

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{4}{5} \frac{d y}{d x} + \frac{8}{5} y = 0

Solve linear ODE:

y = e^{- \frac{2 x}{5}} (c_{1} cos (\frac{6 x}{5}) + c_{2} sin (\frac{6 x}{5}))

y = e^{- \frac{2 x}{5}} (c_{1} cos (\frac{6 x}{5}) + c_{2} sin (\frac{6 x}{5}))

t \to 1 lim (\frac{5 t - 1}{t + 1})

\frac{\partial}{\partial x} (\frac{a}{s} cos^{2} (x))

n = 1 \sum \infty \frac{n - 6}{n + 6}

x y^{^{'}} + y + 4 = 0

\frac{\partial}{\partial x} (2 x e^{4 x y})