JEE Main 2013 Mathematics question
Consider the differential equation :
=
Statement-1: The substitution transforms the above equation into a first order homogenous differential equation. Statement-2: The solution of this differential equation is .
Answer: (4)
Solution
With z = y², , which is homogeneous (Statement 1 true). Putting z = vx: \frac{dv}{dx}\frac{v}{v - 1}$ ⇒
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