(a) Use the family of solutions in part (a) of Problem 33 to find an implicit solution...

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(a) Use the family of solutions in part (a) of Problem 33 to find an implicit solution of the initial value problem y dy/dx = 3x, y(2)=4. Then, by hand, sketch the graph of the explicit solution of this problem and give its interval I of definition

(b) Are there any explicit solutions of y dy/dx = 3x that pass through the origin?

Data from problem 33

(a) Verify that 3x² y² = c is a one-parameter family of solutions of the differential equation y dy/dx = 3x.

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 10, 2018 12:14 PM

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(a) Use the family of solutions in part (a) of Problem 33 to find an implicit solution...

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a Setting x 2 and y 4 in 3x 2 y 2 c ...View the full answer

A First Course in Differential Equations with Modeling Applications

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