1. Read problem statement and solve the following problems. 2. All calculation steps must be clearly shown. 3. Value of the Assignment is 5 points of a total of 180 points. 4. Submit via Blackboard by Saturday of Weok \#10 as a pdf file. The pdf file must have a cover page with B. Name of the Institution and Academic department b. Your name and student iD number c. Course number EE 2010, Course title and section. d. Academic year (ex. FA20), 5. For due dates visit the Calendar located on "Tools" menu in Blackboard. Assignment Problems 1. Use Euler's method with step size h=1/2 to estimate the value ax x=3/2 of the solution to y+3y=e2x such that y(0)=1. 2. Use Modified Euler's Method to approximate the solution of y(0.6) of y3xey=0 using h=0.2 and y (0)=2. 3. Apply the Taylor series up to the fourth derivative to approximate y (1) for the following ODE, y+cos(x)y=0 with y(0)=1 and h=0.5. 4. Corroborate your previous problems solution using MATLAB. Add to the pdi fle the MATLAB output for each of the problems