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In Problems 1-4 the given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. 1. y cie² + cze¯³, (−∞, ∞); y"-y=0, y(0) = 0, y'(0) = 1 2. yciecze*, (−x,∞); y"-3y' -4y=0, y(0) = 1, y'(0) = 2 3. y = c₁x + cxx In .x, (0,∞); x²y" xy+y=0, y(1)=3, y'(1)=-1

In Problems 1-4 the given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. 1. y cie² + cze¯³, (−∞, ∞); y"-y=0, y(0) = 0, y'(0) = 1 2. yciecze*, (−x,∞); y"-3y' -4y=0, y(0) = 1, y'(0) = 2 3. y = c₁x + cxx In .x, (0,∞); x²y" xy+y=0, y(1)=3, y'(1)=-1

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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In Problems 1-4 the given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. 1. y cie² + cze¯³, (−∞, ∞); y"-y=0, y(0) = 0, y'(0) = 1 2. yciecze*, (−x,∞); y"-3y' -4y=0, y(0) = 1, y'(0) = 2 3. y = c₁x + cxx In .x, (0,∞); x²y" xy+y=0, y(1)=3, y'(1)=-1
Transcribed Image Text:In Problems 1-4 the given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. 1. y cie² + cze¯³, (−∞, ∞); y"-y=0, y(0) = 0, y'(0) = 1 2. yciecze*, (−x,∞); y"-3y' -4y=0, y(0) = 1, y'(0) = 2 3. y = c₁x + cxx In .x, (0,∞); x²y" xy+y=0, y(1)=3, y'(1)=-1
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