Differential equationsa. Find a power series for the solution of the following differential equations.b. Identify the function represented by the power series.y(t) + 4y(t) = 8. y(0) = 0

Solution 28EStep 1:Given thaty(t) + 4y(t) = 8. y(0) = 0Step 2:To finda. Find a power series for the solution of the following differential equations.b. Identify the function represented by the power series.