Let α|x| = |y|e^ xy − β , α, β ∈ N be the solution of the differential equation x dy − y dx + xy(x dy + y dx)...

Question

Let α|x| = |y|e^ xy − β , α, β ∈ N be the solution of the differential equation x dy − y dx + xy(x dy + y dx) = 0, y(1) = 2. Then α + β is equal to _______ .

Accepted Answer

4

JEE Main 2024 Mathematics question

Solution