Solve the following differential equation:

Given

Find: Find the general solution of this differential equation.

=

=

=

=

Multiply by 2 Both side

=

Now, Integrate both sides,

=

= Let assume y^{2 +} 2 = t Let assume x² + 2 = v

Then 2y dy =dt 2x dx = dv

=

= log|t| = -log|v|

Put the value of t and v

=

=

Hence,