2(d^2y)/(dx^2)+2(dy)/(dx)+3y=0

Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 3 y = 0

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

Schritte zur Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 3 y = 0

Solve linear ODE:

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

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

n = 0 \sum \infty 83 (\frac{1}{100})^{n}

x \to 4 - lim (3 - x)

x \to 0 lim (\frac{tan ^{2} ( x )}{x})

18 y^{^{''}} + 3 y^{^{'}} - 10 y = 0

d er i v a t i v e \frac{1}{2 x + 1}