What is the solution for (dy)/(dx)=(1+y)(1-2x) ?

The solution for (dy)/(dx)=(1+y)(1-2x) is y=e^{x-x^2+c_{1}}-1

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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What is the solution for (dy)/(dx)=(1+y)(1-2x) ?
The solution for (dy)/(dx)=(1+y)(1-2x) is y=e^{x-x^2+c_{1}}-1