(a) Use a CAS and the concept of level curves to plot representative graphs of members of...
Question:
(a) Use a CAS and the concept of level curves to plot representative graphs of members of the family of solutions of the differential equation
dy/dx = - (8x + 5) / (3y – 11). Experiment with different numbers of level curves as well as various rectangular regions dened by a ≤ x ≤ b, c ≤ y ≤ d.
(b) On separate coordinate axes plot the graphs of the particular solutions corresponding to the initial conditions: y(0) = -1; y(0) = 2; y(-1) = 4; y(-1) = 23.
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a Separating variables and integrating we have 3y 2 1 dy 8x 5 dx and y ...View the full answer
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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
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