List of top Mathematics Questions on Differential equations asked in LPUNEST

The value of \(\displaystyle \int \frac{1}{(x-5)^2}\,dx\) is:
If \(y=f(x)\) passing through \((1,2)\) satisfies the differential equation \[ y(1+xy)\,dx - x\,dy = 0, \] then \(f(x)=\)
$1^3 - 2^3 + 3^3 - 4^3 + \cdots + 9^3 =$