ty" + 3ty + y = 0, t> 0; a) Is y₁ (t) = = a solution of the given differential equation? In b) Is y₂ (t) = tnt a solution of the given differential equation? c) Find the Wronskian of y₁ (t) and y₂ (t). d) Do y₁ (t) and y₂ (t) form a fundamental set of solutions? Why or why no e) If they do, write the general solution of the given differential equation (D solve the equation). If they don't, write "N/A".
ty" + 3ty + y = 0, t> 0; a) Is y₁ (t) = = a solution of the given differential equation? In b) Is y₂ (t) = tnt a solution of the given differential equation? c) Find the Wronskian of y₁ (t) and y₂ (t). d) Do y₁ (t) and y₂ (t) form a fundamental set of solutions? Why or why no e) If they do, write the general solution of the given differential equation (D solve the equation). If they don't, write "N/A".
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the differential equation below:
ty" + 3ty + y = 0, t> 0;
a) Is y₁ (t) = a solution of the given differential equation?
a solution of the given differential equation?
In
b) Is y/₂ (t) =
c) Find the Wronskian of y₁ (t) and y₂ (t).
d) Do y₁ (t) and y₂ (t) form a fundamental set of solutions? Why or why not?
e) If they do, write the general solution of the given differential equation (Do not attempt to
solve the equation). If they don't, write "N/A".
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