Solved: Solve the following stiff initial-value problems using Euler's method and

Chapter 5, Problem 2

(choose chapter or problem)

Solve the following stiff initial-value problems using Euler's method and compare the results with the actual solution. y' = 5y + 6e', 0 < / < 1, y(0) = 2, with h = 0.1; actual solution y(/) = e~5 ' e'. y' = -lOy+lOz+l, 0 < / < I, y(0) = e, with/? = 0.1; actualsolution y(/) = e-m+x+t. a. b. c. y' = 15(y / ) 3// , I < / < 3, y(l) = 0, with h = 0.25; actual solution y{t) = -g-15' + r 2 . d. y' 20y + 20cos/ sin/, 0 < / < 2. y(0) 0, with h 0.25; actual solution y{t) = -e~2(l' -(- cos /