dy/dx − x^3 = 0 where y(0) = 5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve for y in the following by using an integrating factor.

1.) dy/dx − x^3 = 0 where y(0) = 5

2.)dy/dx − x^3 − x^4 = 0 where y(0) = 0

Solve the differential equations by separating it. Use the substitution y = xv.

3.) dy/dx = 2x^4 + 2y^4/ xy^3

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