What is the solution for (dy)/(dx)= y/x+6x+7 ?

The solution for (dy)/(dx)= y/x+6x+7 is y=6x^2+7xln(x)+c_{1}x

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(dy)/(dx)= y/x+6x+7

\frac{d y}{d x} = \frac{y}{x} + 6 x + 7

y = 6 x^{2} + 7 x ln (x) + c_{1} x

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 6 x + 7

Solve linear ODE:

y = 6 x^{2} + 7 x ln (x) + c_{1} x

y = 6 x^{2} + 7 x ln (x) + c_{1} x

x \to 4 lim (\frac{2 x + 8}{x - 4})

\frac{d}{d x} (\frac{e ^{x}}{2 x - 1})

\frac{d ^{2}}{d x ^{2}} (2 x (x + 4)^{3})

\frac{d}{d x} (\frac{e ^{x} - 1}{2 x})

\int \frac{x}{e ^{7} x} d x

What is the solution for (dy)/(dx)= y/x+6x+7 ?
The solution for (dy)/(dx)= y/x+6x+7 is y=6x^2+7xln(x)+c_{1}x