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

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

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

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

y = 2 x^{\frac{3}{2}} x + c_{1} x

Solution steps

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

Solve linear ODE:

y = 2 x^{\frac{3}{2}} x + c_{1} x

y = 2 x^{\frac{3}{2}} x + c_{1} x

x (x^{2} - 11 x + 35), x^{2}, 0, 7

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

\int_{x}^{0} sin (t^{2}) d t

\frac{\partial}{\partial y} (tan (2 x - y))

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