Question

Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.

a) 0.5281
b) 0.4235
c) 0.4895
d) 0.5820
e) 0.6479

Answer 1

To obtain a four-decimal approximation using Euler's method, use a numerical solver and step size (h) values of 0.1 and 0.05.

Step-by-step explanation:

To obtain a four-decimal approximation using Euler's method, we need to use a numerical solver and step size (h) values of 0.1 and 0.05.

First, let's use h = 0.1:

1. Start with the initial condition: y(0) = given value
2. Use Euler's method to find the next value: y(0.1) = y(0) + h * f(0, y(0)), where f is the differential equation
3. Repeat step 2 using the previous value until the desired decimal approximation is reached

Repeat the above steps with h = 0.05 to obtain a second approximation.