What is the solution for (dy)/(dx)=6xsqrt(8y+17) ?

The solution for (dy)/(dx)=6xsqrt(8y+17) is y=18x^4+12c_{1}x^2+2c_{1}^2-17/8

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(dy)/(dx)=6xsqrt(8y+17)

\frac{d y}{d x} = 6 x 8 y + 17

y = 18 x^{4} + 12 c_{1} x^{2} + 2 c_{1}^{2} - \frac{17}{8}

Solution steps

\frac{d y}{d x} = 6 x 8 y + 17

Solve separable ODE:

y = 18 x^{4} + 12 c_{1} x^{2} + 2 c_{1}^{2} - \frac{17}{8}

y = 18 x^{4} + 12 c_{1} x^{2} + 2 c_{1}^{2} - \frac{17}{8}

\frac{d y}{d x} = x^{2} + \frac{y}{x}

\int \frac{- 1}{1 + sin ( x )} d x

f (x) = sin (x) \cdot cos (x)

\frac{3}{s ^{2} + 4}

cos (t - π)

What is the solution for (dy)/(dx)=6xsqrt(8y+17) ?
The solution for (dy)/(dx)=6xsqrt(8y+17) is y=18x^4+12c_{1}x^2+2c_{1}^2-17/8