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For x 2 0, prove the following identity: | = 2 arctan vx – arcsin + 1, 2 Hint: If f,g are differentiable for x > 0 and f'(x) = g'(x), then f(x) = g(x) + C, where C is a constant. In particular, f (0) = g(0) + C. %3D

For x 2 0, prove the following identity: | = 2 arctan vx – arcsin + 1, 2 Hint: If f,g are differentiable for x > 0 and f'(x) = g'(x), then f(x) = g(x) + C, where C is a constant. In particular, f (0) = g(0) + C. %3D

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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For x 2 0, prove the following identity: | = 2 arctan vx – arcsin + 1, 2 Hint: If f,g are differentiable for x > 0 and f'(x) = g'(x), then f(x) = g(x) + C, where C is a constant. In particular, f (0) = g(0) + C. %3D
Transcribed Image Text:For x 2 0, prove the following identity: | = 2 arctan vx – arcsin + 1, 2 Hint: If f,g are differentiable for x > 0 and f'(x) = g'(x), then f(x) = g(x) + C, where C is a constant. In particular, f (0) = g(0) + C. %3D
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