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14.3: Section 1.2 Answers

Last updated

Sep 4, 2021
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- 14.2: Index
- 14.4: Section 2.1 Answers

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1. $3$
2. $2$
3. $1$
4. $2$
verify
1. $y=-\frac{x^{2}}{2}+c$
2. $y=x\cos x-\sin x+c$
3. $y=\frac{x^{2}}{2}\ln x-\frac{x^{2}}{4}+c$
4. $y=-x\cos x+2\sin x+c_{1}+c_{2}x$
5. $y=(2x-4)e^{x}+c_{1}+c_{2}x$
6. $y=\frac{x^{3}}{3}-\sin x+e^{x}+c_{1}+c_{2}x$
7. $y=\sin x+c_{1}+c_{2}x+c_{3}x^{2}$
8. $y=-\frac{x^{5}}{60}+e^{x}+c_{1}+c_{2}x+c_{3}x^{2}$
9. $y=\frac{7}{64}e^{4x}+c_{1}+c_{2}x+c_{3}x^{2}$
1. $y=-(x-1)e^{x}$
2. $y=1-\frac{1}{2}\cos x^{2}$
3. $y=3-\ln (\sqrt{2}\cos x)$
4. $y=-\frac{47}{15}-\frac{37}{5}(x-2)+\frac{x^{6}}{30}$
5. $y=\frac{1}{4}xe^{2x}-\frac{1}{4}e^{2x}+\frac{29}{4}$
6. $y=x\sin x+2\cos x-3x-1$
7. $y=(x^{2}-6x+12)e^{x}+\frac{x^{2}}{2}-8x-11$
8. $y=\frac{x^{3}}{3}+\frac{\cos 2x}{6}+\frac{7}{4}x^{2}-6x+\frac{7}{8}$
9. $y=\frac{x^{4}}{12}+\frac{x^{3}}{6}+\frac{1}{2}(x-2)^{2}-\frac{26}{3}(x-2)-\frac{5}{3}$
verify
verify
1. $576$ ft
2. $10$ s

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