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nsider the differential equation +3ty-3y=0, t> 0 ) Determiner so that y = t' is a solution. ») Use (a) to find a fundamental set of solution. :) Use the method of variation of parameters for finding a particular solution to t²u" +3tu- 3y = ²t> 0

nsider the differential equation +3ty-3y=0, t> 0 ) Determiner so that y = t' is a solution. ») Use (a) to find a fundamental set of solution. :) Use the method of variation of parameters for finding a particular solution to t²u" +3tu- 3y = ²t> 0

Advanced Engineering Mathematics
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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8. Consider the differential equation. ty" + 3ty - 3y=0.t> 0 (a) Determine r so that y = t' is a solution. (b) Use (a) to find a fundamental set of solution. (c) Use the method of variation of parameters for finding a particular solution to t²y + 3ty - 3y = 1,t> 0
Transcribed Image Text:8. Consider the differential equation. ty" + 3ty - 3y=0.t> 0 (a) Determine r so that y = t' is a solution. (b) Use (a) to find a fundamental set of solution. (c) Use the method of variation of parameters for finding a particular solution to t²y + 3ty - 3y = 1,t> 0
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