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

The solution for (dy)/(dx)=(1-x)/(2+y) is y=-2+sqrt(-x^2+2x+c_{1)+4},y=-sqrt(-x^2+2x+c_{1)+4}-2

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

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

y = - 2 + - x^{2} + 2 x + c_{1} + 4, y = - - x^{2} + 2 x + c_{1} + 4 - 2

Solution steps

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

Solve separable ODE:

y = - 2 + - x^{2} + 2 x + c_{1} + 4, y = - - x^{2} + 2 x + c_{1} + 4 - 2

y = - 2 + - x^{2} + 2 x + c_{1} + 4, y = - - x^{2} + 2 x + c_{1} + 4 - 2

What is the solution for (dy)/(dx)=(1-x)/(2+y) ?
The solution for (dy)/(dx)=(1-x)/(2+y) is y=-2+sqrt(-x^2+2x+c_{1)+4},y=-sqrt(-x^2+2x+c_{1)+4}-2