What is the solution for (dy)/(dx)+y/x =9x+10 ?

The solution for (dy)/(dx)+y/x =9x+10 is y=3x^2+5x+(c_{1})/x

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(dy)/(dx)+y/x =9x+10

\frac{d y}{d x} + \frac{y}{x} = 9 x + 10

y = 3 x^{2} + 5 x + \frac{c _{1}}{x}

Solution steps

\frac{d y}{d x} + \frac{y}{x} = 9 x + 10

Solve linear ODE:

y = 3 x^{2} + 5 x + \frac{c _{1}}{x}

y = 3 x^{2} + 5 x + \frac{c _{1}}{x}

What is the solution for (dy)/(dx)+y/x =9x+10 ?
The solution for (dy)/(dx)+y/x =9x+10 is y=3x^2+5x+(c_{1})/x