e^y((dy)/(dx)+1)=1

Lösung

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

y = ln (- e^{- x - c_{1}} + 1)

Schritte zur Lösung

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

Solve separable ODE:

y = ln (- e^{- x - c_{1}} + 1)

y = ln (- e^{- x - c_{1}} + 1)

y^{^{'}} = \frac{y}{x} - y, y (1) = \frac{1}{e}

e^{2 x} y^{^{'}} = x cos^{2} (y)

\frac{d v}{d t} = 2 v

(y - 2) y^{^{'}} = 3 x - 5

e^{(y^{2})} d x + x^{2} y d y = 0