JEE Main 20248 Apr, Evening shiftMathematicsMediumDifferential Equations163× since 2002Let α∣x∣=∣y∣exy−β,α,β∈N\alpha|x|=|y| \mathrm{e}^{x y-\beta}, \alpha, \beta \in \mathbf{N}α∣x∣=∣y∣exy−β,α,β∈N be the solution of the differential equation x dy−y dx+xy(x dy+y dx)=0,y(1)=2x \mathrm{~d} y-y \mathrm{~d} x+x y(x \mathrm{~d} y+y \mathrm{~d} x)=0,y(1)=2x dy−y dx+xy(x dy+y dx)=0,y(1)=2. Then α+β\alpha+\betaα+β is equal to ________Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
