What is the solution for (dy)/(dx)= y/x+2x+3 ?

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

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(dy)/(dx)= y/x+2x+3

\frac{d y}{d x} = \frac{y}{x} + 2 x + 3

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

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 2 x + 3

Solve linear ODE:

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

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

\frac{d y}{d t} = (y + 1) (y - 3), y (0) = 1

x \to \frac{4}{3} lim (2 x^{2} - 4 x + 5)

\int x (3^{- x^{2}}) d x

x \to 1 lim (1.7496)

f (x) = 12 x

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