What is the solution for (dy)/(dx)=((2x+3))/((2y-2)) ?

The solution for (dy)/(dx)=((2x+3))/((2y-2)) is y=1+sqrt(x^2+3x+c_{1)+1},y=1-sqrt(x^2+3x+c_{1)+1}

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(dy)/(dx)=((2x+3))/((2y-2))

\frac{d y}{d x} = \frac{( 2 x + 3 )}{( 2 y - 2 )}

y = 1 + x^{2} + 3 x + c_{1} + 1, y = 1 - x^{2} + 3 x + c_{1} + 1

Solution steps

\frac{d y}{d x} = \frac{( 2 x + 3 )}{( 2 y - 2 )}

Solve separable ODE:

y = 1 + x^{2} + 3 x + c_{1} + 1, y = 1 - x^{2} + 3 x + c_{1} + 1

y = 1 + x^{2} + 3 x + c_{1} + 1, y = 1 - x^{2} + 3 x + c_{1} + 1

What is the solution for (dy)/(dx)=((2x+3))/((2y-2)) ?
The solution for (dy)/(dx)=((2x+3))/((2y-2)) is y=1+sqrt(x^2+3x+c_{1)+1},y=1-sqrt(x^2+3x+c_{1)+1}