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4. a) Find the following derivatives using differentiation rules. d dx 5 2)* d ii) Vx + dx d²y b) If y = (x² – 1) (1 + x), then show that x- 2 + 2x – 2 = 0.

4. a) Find the following derivatives using differentiation rules. d dx 5 2)* d ii) Vx + dx d²y b) If y = (x² – 1) (1 + x), then show that x- 2 + 2x – 2 = 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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4. a) Find the following derivatives using differentiation rules. d i) dx 3 5 d 1 ii) dx (Vx + + 2 d²y b) If y = (x² – 1) (1 + x), then show that x dy 2 + 2x – 2 = 0. dx² dx
Transcribed Image Text:4. a) Find the following derivatives using differentiation rules. d i) dx 3 5 d 1 ii) dx (Vx + + 2 d²y b) If y = (x² – 1) (1 + x), then show that x dy 2 + 2x – 2 = 0. dx² dx
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