6. Consider the Initial Value Problem (IVP) given by dy y(0) = = 1. 2 dx a. Sketch the slope field of the differential equation for values of (x, y) in the square (-1, 1) × (−1, 1). You can use digital graphing tool if needed; however, verify the slope field by computing the slope at, at least, two points. = 0.1, = b. Use the Euler method to approximate the solution y(x) of the IVP at points xo = 0, x₁ x₂ = 0.2, x3 = 0.3. Show your steps. c. Find the exact solution of the IVP. Show your steps.
6. Consider the Initial Value Problem (IVP) given by dy y(0) = = 1. 2 dx a. Sketch the slope field of the differential equation for values of (x, y) in the square (-1, 1) × (−1, 1). You can use digital graphing tool if needed; however, verify the slope field by computing the slope at, at least, two points. = 0.1, = b. Use the Euler method to approximate the solution y(x) of the IVP at points xo = 0, x₁ x₂ = 0.2, x3 = 0.3. Show your steps. c. Find the exact solution of the IVP. Show your steps.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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