What is the solution for (dy)/(dr)=2+sqrt(y-2r+3) ?

The solution for (dy)/(dr)=2+sqrt(y-2r+3) is y=(r^2+c_{1}^2)/4+(c_{1}r)/2+2r-3

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(dy)/(dr)=2+sqrt(y-2r+3)

\frac{d y}{d r} = 2 + y - 2 r + 3

y = \frac{r ^{2} + c _{1}^{2}}{4} + \frac{c _{1} r}{2} + 2 r - 3

Solution steps

\frac{d y}{d r} = 2 + y - 2 r + 3

Solve using substitution:

y = \frac{r ^{2} + c _{1}^{2}}{4} + \frac{c _{1} r}{2} + 2 r - 3

y = \frac{r ^{2} + c _{1}^{2}}{4} + \frac{c _{1} r}{2} + 2 r - 3

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What is the solution for (dy)/(dr)=2+sqrt(y-2r+3) ?
The solution for (dy)/(dr)=2+sqrt(y-2r+3) is y=(r^2+c_{1}^2)/4+(c_{1}r)/2+2r-3