What is the solution for (dy)/(dx)=sqrt(6x+y)-6 ?

The solution for (dy)/(dx)=sqrt(6x+y)-6 is y=(x^2+c_{1}^2)/4+(c_{1}x)/2-6x

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(dy)/(dx)=sqrt(6x+y)-6

\frac{d y}{d x} = 6 x + y - 6

y = \frac{x ^{2} + c _{1}^{2}}{4} + \frac{c _{1} x}{2} - 6 x

Solution steps

\frac{d y}{d x} = 6 x + y - 6

Solve using substitution:

y = \frac{x ^{2} + c _{1}^{2}}{4} + \frac{c _{1} x}{2} - 6 x

y = \frac{x ^{2} + c _{1}^{2}}{4} + \frac{c _{1} x}{2} - 6 x

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What is the solution for (dy)/(dx)=sqrt(6x+y)-6 ?
The solution for (dy)/(dx)=sqrt(6x+y)-6 is y=(x^2+c_{1}^2)/4+(c_{1}x)/2-6x