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Give the interval of definition for the solution to the initial-value problem 1 (t-1)y"+ -y"-(csct)y=e', y(2)=y'(2)=y"(2)=-1. In(7-t)

Give the interval of definition for the solution to the initial-value problem 1 (t-1)y"+ -y"-(csct)y=e', y(2)=y'(2)=y"(2)=-1. In(7-t)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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Give the interval of definition for the solution to the initial-value problem (t−1)y"+ 1 In(7-t) -y"-(csct)y=e', y(2)=y'(2)=y"(2) =−1 . Suppose that Y(t), Y₂ (t), and Y3 (t) are solutions of the differential equation y"+5y"+(2-t)y=0. Suppose that W[X₁, X₂, X₂](0) = 7. What is W[Y,Y₂‚Y₂](t) ?
Transcribed Image Text:Give the interval of definition for the solution to the initial-value problem (t−1)y"+ 1 In(7-t) -y"-(csct)y=e', y(2)=y'(2)=y"(2) =−1 . Suppose that Y(t), Y₂ (t), and Y3 (t) are solutions of the differential equation y"+5y"+(2-t)y=0. Suppose that W[X₁, X₂, X₂](0) = 7. What is W[Y,Y₂‚Y₂](t) ?
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