a. The functions e2xcosx and e2xsinx are both solutions of the homogeneous linear differential equation y′′−4y′+5y=0, on
Posted: Thu Jul 14, 2022 4:03 pm
a. The functions e2xcosx and e2xsinx are both solutions of the homogeneous linear differential equation y′′−4y′+5y=0, on the interval (−∞,∞). Use the Wronskian to verify that the above solutions are also linearly independent on the interval. [10 marks] b. Solve the differential equation below by using superposition approach: y′′−4y′−12y=2x+6. [10 marks]