What is the solution for (dy)/(dx)+1/x y=6x^2 ?

The solution for (dy)/(dx)+1/x y=6x^2 is y=(3x^3)/2+(c_{1})/x

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(dy)/(dx)+1/x y=6x^2

\frac{d y}{d x} + \frac{1}{x} y = 6 x^{2}

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

Solution steps

\frac{d y}{d x} + \frac{1}{x} y = 6 x^{2}

Solve linear ODE:

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

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

f (x) = \frac{1}{( 1 + x ^{2} )}, at x = - 1

x \to - 10 lim ((+) f (x))

\frac{\partial}{\partial y} (e^{13 x y})

\frac{\partial}{\partial x} (\frac{2 y ^{2}}{x ^{2} + y})

\int p^{3} d p

What is the solution for (dy)/(dx)+1/x y=6x^2 ?
The solution for (dy)/(dx)+1/x y=6x^2 is y=(3x^3)/2+(c_{1})/x