### Home > CALC > Chapter 7 > Lesson 7.4.3 > Problem 7-196

7-196.

*y*=*f*(*x*) satisfies= 2 *x*and its graph contains the point (−1, 5). Homework Help ✎Use Euler' s Method to sketch

*y*for −1 ≤*x*≤ 1. Use Δ*x*= 0.5.Use implicit integration to find

*y*.Compare your answers to parts (a) and (b). Find the largest difference between the actual

*y*value and the Euler's Method*y*value for*x*= − 1, −0.5, 0, 0.5, and 1. This largest difference estimates the error of Euler's Method. If Δ*x*= 0.1 instead, do you think this error would be larger or smaller?

Show all steps and carefully record the coordinate points at *x* = −0.5, *x* = 0, *x* = 0.5 and *x* = 1.

Use (−1, 5) to help you find the value of *C* after you integrate.