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

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

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

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{x - 1}{y + 2}

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

x \to 3 lim (x^{2} - 2)

\int \frac{1}{3 8 - x} d x

\int \frac{1}{12 x ^{7}} d x

\frac{d}{d x} ((\frac{7 x + 1}{2 x ^{2} + 3})^{3})

\frac{\partial}{\partial x} (2 x (y - 3 x) - 4 y)

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