Choose the correct answer from the options given below:

An integrating factor of the differential equation $$(2x^2+y^2+x)dx+xy dy=0$$ is​

If $$\frac {dp}{dt}=\frac{1}{2p}$$ and $$p=1$$ when $$t=0$$, then $$p=3$$, when t is​

A particular solution of the differential equation $$x^2 \frac{d^2y}{dx^2} - 2x(1 + x) \frac{dy}{dx} + 2(1 + x)y = x^3$$ is​