What is the solution for (dy)/(dx)= y/x+4x+9 ?

The solution for (dy)/(dx)= y/x+4x+9 is y=4x^2+9xln(x)+c_{1}x

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(dy)/(dx)= y/x+4x+9

\frac{d y}{d x} = \frac{y}{x} + 4 x + 9

y = 4 x^{2} + 9 x ln (x) + c_{1} x

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 4 x + 9

Solve linear ODE:

y = 4 x^{2} + 9 x ln (x) + c_{1} x

y = 4 x^{2} + 9 x ln (x) + c_{1} x

\frac{d y}{d x} + 3 y = 2 x e^{- 3 x}

n = 0 \sum \infty \frac{1}{1.0 2 ^{n}}

\frac{d}{d T} (\frac{7}{6} T + 17)

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

x d x - y d y = 0

What is the solution for (dy)/(dx)= y/x+4x+9 ?
The solution for (dy)/(dx)= y/x+4x+9 is y=4x^2+9xln(x)+c_{1}x