. I. Makki Question 1 (20 pts) Solve the following problem: Question 2 (30 pts) Solve the following differential equation: Nam EMES Fall 2 By signing this exam you are agreeing t either recei nor given assistance on this y"-6y' + 9y=e3x y' (t) + y(t) - Ly(v) sin(tv) d -v) dv=sin(t), y(0) = 1 Question 3 (30 pts) Solve the following linear system: x=1=x x(0) = [+] Question 4 (20 pts) Compute eat and find the general solution of the given system: x=(-3)x Cheating will not be tolerated. Cheating includes (but is not limited to) any communication (written or oral) during examinations, using notes during the exam, sharing a book and sharing of work. This includes copying homework assignments from any source. You are required to have reviewed the LTU Academic Honor Code which went into effect in the Fall of 2004. STUDENTS WHO CHEAT ON ANY ASSIGNMENT OR DURING ANY EXAMINATION WILL BE ASSIGNED A FAILING GRADE FOR THE COURSE.