Consider the linear first order differential equation and 4 y 4 . (a) Calculate
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Question:
Consider the linear first order differential equation
and − 4 ≤ y ≤ 4.
(a) Calculate the gradients at integer points (x,y) in the x,y-plane and present your results in a table.
(b) Use your results from (a) to plot the gradient field of the given differential equation. Do not plot the isoclines.
(c) Plot integral curves passing through the points (0,−2), (0,0) and (1,2).
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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