For what value of the constant a does the substitution u = ya converts the differential equation -t 2y' — e¯¹ y = (ty) ³/2 into a linear first order differential equation in u ? О a = -1/2 О О a = = 3/2 a = О ○ a = -3/2 a = 5/2 О ○ a = = −5/2 a = = 1/2

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...
Question
For what value of the constant a does the substitution u = ya converts the
differential equation
-t
2y' — e¯¹ y = (ty) ³/2
into a linear first order differential equation in u ?
О
a =
-1/2
О
О
a = = 3/2
a =
О
○ a =
-3/2
a = 5/2
О ○ a =
= −5/2
a =
= 1/2
Transcribed Image Text:For what value of the constant a does the substitution u = ya converts the differential equation -t 2y' — e¯¹ y = (ty) ³/2 into a linear first order differential equation in u ? О a = -1/2 О О a = = 3/2 a = О ○ a = -3/2 a = 5/2 О ○ a = = −5/2 a = = 1/2
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