y/x y^'+e^y=0

Lösung

\frac{y}{x} y^{^{'}} + e^{y} = 0

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

Schritte zur Lösung

\frac{y}{x} y^{'} (x) + e^{y} = 0

Solve separable ODE:

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

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

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

e^{3 x} y - e^{5 x} y^{3} y^{^{'}} = 0

x \cdot y^{^{'}} + y = 0

y^{^{'}} = y - y^{2}, y (- 1) = 2

(3 x^{2} + 2)^{3} y^{^{'}} - x y^{2} = 0