How to use Euler's Method to Approximate a Solution to a Differential Equation | Calculus | Study.com

SOLVED:Use Euler's method with step sizes h=0.1, h=0.05, and h=0.025 to find approximate values of the solution of the initial value problem y^' 3 y=7 e^4 x, y(0)=2 at x=0,0.1,0.2,0.3, …, 1.0 . Compare these approximate values with the values of the exact solution y=e^4 x e^-3 x, which can be obtained by the method of Section 2.1. Present your results in a table like Table 3.1 .1 .

Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the solution of the initial-value problem y' = y - 4x, y(3) = 2. y1 = y2 = y3 = y4 =