List of top Statistics Questions on Differential Equations asked in CUET (PG)

The integrating factor for the differential equation $x~log_{e}x~dy = (2~log_{e}x - y) dx$ is

The eigen vectors of the matrix $A=\begin{bmatrix}5 & 4\\ 1& 2\end{bmatrix}$ is

Solution of differential equation $(x^{2}+y^{2})dx-2xy~dy=0,$ where c is constant, is

The solution of the differential equation,
\((x^2 + 1)\frac{dy}{dx} + 2xy = \sqrt{x^2 + 4}\), is

If, \(y = x^{\tan(x)}\), then \(\frac{dy}{dx}\) at \(x = \frac{\pi}{4}\), is