Suppose that y pty y 2 in an interval containing 0 such th

Suppose that y\" + p(t)y\'+ y = 2, in an interval containing 0 such that y (0) = a and y\'(0) = 0. Determine which of the following is FALSE. If a = 0, then y has a local minimum at t = 0 If a = 3, then y has a local maximum at t = 0 If a = 4, then y has a local maximum at t = 0 If a = - 1, then y has a local minimum at t = 0 none of these

Solution

y(0) = a and y\'(0) = 0 implies y = a.

putting in above equation at x=0, we get a=2.

therefore, option e) none of these.