Question

In exercises 45–48, use Euler’s method with increments of δx = 0.1 to approximate the value of y when x = 1.7.

a) y ≈ 1.3
b) y ≈ 2.6
c) y ≈ 3.9
d) y ≈ 5.2

Answer 1

To approximate the value of y when x = 1.7 using Euler's method, follow the given steps.

Step-by-step explanation:

To approximate the value of y when x = 1.7 using Euler's method with increments of δx = 0.1, we can follow these steps:

1. Start with the initial values: x₀ = 1, y₀ = 0.011
2. Use the formula: yᵢ₊₁ = yᵢ + δx * f(xᵢ, yᵢ)
3. Calculate f(x, y) using the given differential equation
4. Repeat steps 2 and 3 for each value of x from 1 to 1.7
5. The final value of y when x = 1.7 is the approximate value we are looking for

By following these steps, we can find the value of y when x = 1.7.