(2e^y-x)((dy)/(dx))=1

Lösung

(2 e^{y} - x) (\frac{d y}{d x}) = 1

y = ln (\frac{x + x ^{2} + c _{1}}{2}), y = ln (\frac{x - x ^{2} + c _{1}}{2})

Schritte zur Lösung

(2 e^{y} - x) (\frac{d y}{d x}) = 1

Solve exact ODE:

y = ln (\frac{x + x ^{2} + c _{1}}{2}), y = ln (\frac{x - x ^{2} + c _{1}}{2})

y = ln (\frac{x + x ^{2} + c _{1}}{2}), y = ln (\frac{x - x ^{2} + c _{1}}{2})

d er i v a t i v e f (x) = - 7 e^{- 3 x} - 6 e^{- 3 x} x

x \to 3 lim (\frac{x ^{2} - 8}{x - 3})

\frac{d}{d x} (x - 3 x^{2} + 8 x^{- 2})

\frac{d y}{d x} = y + 4 y \cdot cos (2 x)

\int - 1728 - x^{3} d x