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 y2 + 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,


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