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1.) a. 2x Verify that y₁(x) = e ³ and y₂ (x) = e²x are solutions of the differential equation 3y"-7y' +2y=0 on (-00,00) b. Do these functions form a fundamental solution set? Justify your answer with a computation and a theorem number from the text

1.) a. 2x Verify that y₁(x) = e ³ and y₂ (x) = e²x are solutions of the differential equation 3y"-7y' +2y=0 on (-00,00) b. Do these functions form a fundamental solution set? Justify your answer with a computation and a theorem number from the text

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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1.) a. Verify that y, (x) = e 3 and y₂(x) = ²x are solutions of the differential equation 2x 3y"-7y' +2y=0 on (-00,00). b. Do these functions form a fundamental solution set? Justify your answer with a computation and a theorem number from the text
Transcribed Image Text:1.) a. Verify that y, (x) = e 3 and y₂(x) = ²x are solutions of the differential equation 2x 3y"-7y' +2y=0 on (-00,00). b. Do these functions form a fundamental solution set? Justify your answer with a computation and a theorem number from the text
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