Create a direction field of following differential equation y' = 9.8 - 0.05x y' = 9.8 - 0.1y²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Create a direction field of following differential equation y' = 9.8 - 0.05x y' = 9.8 - 0.1y²
Expert Solution
Step 1: Introduction

Given differential equations are:

  1. y apostrophe equals 9.8 minus 0.05 x.
  2. y apostrophe equals 9.8 minus 0.1 y squared.

We know that, a direction field of a differential equation is a graphical representation, which is used to visualize the solution using different initial conditions. Each point of the direction field represents the slope of the solution at that point.

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