What is the solution for (dy)/(dx)=4+sqrt(y-4x+2) ?

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

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(dy)/(dx)=4+sqrt(y-4x+2)

\frac{d y}{d x} = 4 + y - 4 x + 2

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

Solution steps

\frac{d y}{d x} = 4 + y - 4 x + 2

Solve using substitution:

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

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

x \to 0 lim (a x)

\frac{d}{d x} (2 x^{2 x})

\frac{\partial}{\partial x} (x - y^{4})

x \to 0 lim (\frac{tan ( a ) x}{x})

\frac{1}{s ( s + 5 )}

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