3+3+2:8 points. Consider the ordinary differential equation y\"(b') = 4W?) + 4, 9(0) = 9T0) = 1, (d) which is second order (because of the second derivative), not rst order. So we may not directly employ our methods. However, let z(:c) be the function given by 41:) = y'(I) + 229(56)- (Z) 6.3 Assuming y(::;) is a solution to ((1), determine a differential equation for 2(35') (involving 2(3) and z'(:r:) but not y(x) or its derivatives) as well as its initial value z(0). Hint: First compute z'(:1:) in terms of the derivatives y\"(;c) and y'(w). Then use (d) to Te-earpress y\"($). 6.b Solve for z(:c) in the previous problem. 6.0 Use your solution for z($) to solve for y(a:) by solving (2) for y with initial condition 9(0) : 1