The solution of $$(1 x^2)y' 2xy = 2x$$ with initial value $$y(0)=0$$ is given by

The solution of $$x^2y'=1-2xy$$ with initial value $$y(1)=2$$ is given by

The solution of $$y' \lambda y = a$$ with initial value $$y(0)=0$$ and $$\lambda > 0$$ is given by