# Use a numerical solver and Eulers method to approximate y(1.0), where y(x) is the solution to y' = 2xy 2

## Question:

Use a numerical solver and Euler’s method to approximate y(1.0), where y(x) is the solution to y' = 2xy^{2}, y(0) = 1. First use h = 0.1 and then use h = 0.05. Repeat, using the RK4 method. Discuss what might cause the approximations to y(1.0) to differ so greatly.

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**Related Book For**

## A First Course in Differential Equations with Modeling Applications

**ISBN:** 978-1305965720

11th edition

**Authors:** Dennis G. Zill

**Question Details**

Chapter #

**2**Section: Exercise Questions

Problem: 203

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