14: Section 5.1 Answers

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1. c. \(y=-2e^{2x}+e^{5x}\)

2. c. \(y=e^{3x}(3\cos x-5\sin x)\)

3. c. \(y=e^{x}(7-3x)\)

4. a. \(y=\frac{c_{1}}{x-1}+\frac{c_{2}}{x+1}\)
b. \(y=\frac{2}{x-1}-\frac{3}{x+1};\: (-1,1)\)

5. \(e^{x}\)

6. \(e^{2x}\cos x\)

7. \(x^{2}+2x-2\)

8. \(-\frac{5}{6}x^{-5/6}\)

9. \(-\frac{1}{x^{2}}\)

10. \((x\ln |x|)^{2}\)

11. \(\frac{e^{2x}}{2\sqrt{x}}\)

23. a. \((0,2)\)

b. \((2,\pi)\)

24. a. \((\pi/2,3\pi/2)\)

b. \((1,\pi/2)\)

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