PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Differential Equations Exact Differential Equations
What are the value of α and β that make \(dF(x, y)=\left(\frac{1}{x^2+2}+\frac{\alpha}{y}\right)dx\space + (xy^\beta+1)dy\) an exact differential equation?
1
α = -1, β = -2
2
α = 1, β = -2
3
α = -1, β = 2
4
α = -2, β = -1