(e^x)/(\frac{dy){dx}}=(1+e^x)y

Lösung

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

y = 2 ln (1 + e^{x}) + c_{1}, y = - 2 ln (1 + e^{x}) + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 2 ln (1 + e^{x}) + c_{1}, y = - 2 ln (1 + e^{x}) + c_{1}

y = 2 ln (1 + e^{x}) + c_{1}, y = - 2 ln (1 + e^{x}) + c_{1}

y^{^{''}} - 6 y^{^{'}} + 25 y = 50 t^{3} - 36 t^{2} - 63 t + 18

\frac{\partial}{\partial x} (ln (t))

x \to + 2 lim (\frac{x - 7}{x + 3})

d er i v a t i v e \frac{2 x - 7}{5 x + 4} + x^{3}

\int \frac{8}{x ^{2} x ^{2} + 4} d x