(a) Verify that 3x 2 y 2 = c is a one-parameter family of solutions of...
Question:
(a) Verify that 3x2 y2 = c is a one-parameter family of solutions of the differential equation y dy/dx = 3x.
(b) By hand, sketch the graph of the implicit solution 3x2 y2 = 3. Find all explicit solutions y = ϕ(x) of the DE in part (a) defined by this relation. Give the interval I of definition of each explicit solution
(c) The point (2, 3) is on the graph of 3x2 y2 / 3, but which of the explicit solutions in part (b) satisfies y(2) = 3?
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a Differentiating 3x 2 y 2 c we get ...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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