Find the solution of this differential equation that

Question

Question:

The differential equation y"-3y'+2y = 2t has the following general solution

y(t)=C₁e^t + C₂ e^2t + t + 1.5

Find the solution of this differential equation that satisfies initial values y(0)= 2.5, y'(0)=1

Additional information 

The problem related to Mathematics and it discusses about differential equations that satisfies initial values.