(dy)/(dx)=(1+y)/(1+x)

Lösung

\frac{d y}{d x} = \frac{1 + y}{1 + x}

y = e^{c_{1}} + e^{c_{1}} x - 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{1 + y}{1 + x}

Solve separable ODE:

y = e^{c_{1}} + e^{c_{1}} x - 1

y = e^{c_{1}} + e^{c_{1}} x - 1

\frac{d y}{d x} y = x^{s i n (x)}

d x + x y d y = y^{2} d x + y d y

y^{^{'}} + y = 0, y (0) = 1

y d x + (1 - x) d y = 0

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