(dy)/(dx)=2x(1+y)

Lösung

\frac{d y}{d x} = 2 x (1 + y)

y = e^{x^{2} + c_{1}} - 1

Schritte zur Lösung

\frac{d y}{d x} = 2 x (1 + y)

Solve separable ODE:

y = e^{x^{2} + c_{1}} - 1

y = e^{x^{2} + c_{1}} - 1

\int 3 x^{2} d x

\frac{\partial}{\partial y} (ln (1 + x y))

\int \frac{1}{x ^{2} + 4 x + 1} d x

\frac{\partial}{\partial x} (5 x y (9 - x - y))

d er i v a t i v e e^{x} - 3 x