Question (20 Marks): By solving its auxiliary equation, find the complementary function of the Differential Equation dx + 2y = 4.
Find the particular integral for the differential equation dx + 2y = 4 - 5.
Answer:
(i) Using Equation dx + 2y = 4 - 5, write down the general solution.
(ii) Hence, find the solution which satisfies the initial conditions Y(0) and y'(0).
[8 marks]