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3.52. (a) Evaluate (D)(xD)(xD) {x² +2e) which can be written (xD)³(x²+2e). (b) Is this the same as ³D³(x²+2e)? (e) Are the operators (xD) and ³D equivalent? Explain.

3.52. (a) Evaluate (D)(xD)(xD) {x² +2e) which can be written (xD)³(x²+2e). (b) Is this the same as ³D³(x²+2e)? (e) Are the operators (xD) and ³D equivalent? Explain.

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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3.52. (a) Evaluate (D)(xD)(xD) {x2 +2e) which can be written (D)³(x2+2ez). (b) Is this the same as ³D³(x²+2e)? (c) Are the operators (xD)³ and ³D3 equivalent? Explain.
Transcribed Image Text:3.52. (a) Evaluate (D)(xD)(xD) {x2 +2e) which can be written (D)³(x2+2ez). (b) Is this the same as ³D³(x²+2e)? (c) Are the operators (xD)³ and ³D3 equivalent? Explain.
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