x + x = 4 cos(5t), with 2(0) = 1 and 2(6) = 2. Solve this problem using a second order central difference scheme for i. That is, At)2 Use a step size of t 0.01 (a) Save the number of interior points (i.e., the number of t values not including = 0 and t = 6) in A7. dat. (b) Save your approximation of x at time t = 3 in A8. dat. (c) Find the time at which x reaches its maximum value. Save this time in A9.dat. (d) Find the time at which x reaches its minimum value. Save this time in A10.dat. x + x = 4 cos(5t), with 2(0) = 1 and 2(6) = 2. Solve this problem using a second order central difference scheme for i. That is, At)2 Use a step size of t 0.01 (a) Save the number of interior points (i.e., the number of t values not including = 0 and t = 6) in A7. dat. (b) Save your approximation of x at time t = 3 in A8. dat. (c) Find the time at which x reaches its maximum value. Save this time in A9.dat. (d) Find the time at which x reaches its minimum value. Save this time in A10.dat