BCC-6.6 Euler's Method #2

Using the table and Euler's Method with a step size of 1, approximate f(4.5).

• A) 4.1

• B) 6.0

• C) 5.3

• D) 8.29

dy/dx = 3x - 2y and y(0) = k. Starting with x = 0 and a step size of 1, find k if y(2) = 4.5

• A) 1
• B) 2
• C) 1.5
• D) 2.5

dy/dx = x - y and y(0) = 1. Use Euler's Method with a step size of 0.5 to approximate y(1.5).

• A) 0.5
• B) 0.8
• C) 0.75
• D) 1.25

dy/dx = x + 3y and y(2) = 3. Use Euler's Method with a step size of 1 to approximate y(5).

• A) 11
• B) 181
• C) 45
• D) 240

dy/dx = x - y - 2 and f(-1) = 3. Use Euler's Method with three steps to approximate f(2).

• A) -1
• B) 1
• C) 0
• D) 2