What is the solution for (dy)/(dx)= y/x+3x+5 ?

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

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(dy)/(dx)= y/x+3x+5

\frac{d y}{d x} = \frac{y}{x} + 3 x + 5

y = 3 x^{2} + 5 x ln (x) + c_{1} x

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 3 x + 5

Solve linear ODE:

y = 3 x^{2} + 5 x ln (x) + c_{1} x

y = 3 x^{2} + 5 x ln (x) + c_{1} x

x \to - 7 lim (- 4 x)

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

\int \frac{2 x + 3}{x ^{2} + 3 x} d x

\int (4 w - 1)^{3} d w

\frac{\partial}{\partial x} (e^{(x + y)})

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