Let f, g be differentiable functions with domain R. Which of the following statements must be true? Select all the correct answers. □ IF f(x) = f g(t)dt, THEN f'(x) = g(x) for all x . IF f'(x) = g(x) for all x, THEN f(x) = g(0) + fog(t)dt . ☐ IF f'(x) = g(x) for all x, THEN f(x) = f g(t)dt. ☐ IF f'(x) = g(x) for all x, THEN √³² g(t)dt = ƒ(2) − f(5) .

Let f, g be differentiable functions with domain R. Which of the following statements must be true? Select all the correct answers. □ IF f(x) = f g(t)dt, THEN f'(x) = g(x) for all x . IF f'(x) = g(x) for all x, THEN f(x) = g(0) + fog(t)dt . ☐ IF f'(x) = g(x) for all x, THEN f(x) = f g(t)dt. ☐ IF f'(x) = g(x) for all x, THEN √³² g(t)dt = ƒ(2) − f(5) .

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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