Answer:
Step-by-step explanation:
Given differential equation is
y"+y'-2y = 1
Hence, the characteristics is
=> D = -2, 1
The general equation of the given differential equation is
Let's consider that
g(t) = 1
Wronskian can be given by,
W = y_1(t)y'_2(t) - y_2(t)y'_1(t)
Now, the particular integral can be given by
Now,
Hence, the complete solution of the given differential equation is