Solve the differential equation of order one.  (3x − 1)y′ = 6y − 10(3x − 1)1/3

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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5. Solve the differential equation of order one. 

(3x − 1)y′ = 6y − 10(3x − 1)1/3


STEPS:
a. Put the equation in standard form 
dy/dx + P(x)y = Q(x) or y'+P(x)y=Q(x)
b. Obtain the integrating factor 
c. Apply the integrating factor to the equation in its standard form.
d. solve for the resultant equation.

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