In many physical applications, the nonhomogeneous term F(x) is specified by different formulas in different intervals of x. (a) Find a general solution of the equation \(\displaystyle{y}{''}+{y}=\left\{{x},{0}\leq{x}\leq{1},{1}\leq{x}\right\}\) NoteNote that the solution is not differentiable at x = 1. (b) Find a particular solution of \(y''+y=\left\{x,0\leq x\leq 1;1,1\leq x\right\}\) that satises the initial conditions y(0)=0 and y′(0)=1.