We need to get the equation in the form of a linear DE of order 1.

Expand the bracket and divide throughout by dx:

MATH

Rearrange:

MATH

Divide throughout by x:

MATH

Here, $P(x)=\dfrac{2}{x}$ and Q(x) = 8x.

IF MATH

Now MATH

Applying the formula:

MATH

gives:

$\qquad y$ MATH

Divide throughout by x2:

MATH

Directly, using Scientific Notebook:

SNB cannot solve our original question:

MATH

We have to rearrange it in terms of $\dfrac{dy}{dx}$ and then solve it using


Compute menu --> Solve ODE... --> Exact