2017-Fall-ME501-Homework-01-Solutions.pdf

2017-Fall-ME501-Homework-01-Solutions.pdf - 2017 Fall...

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Unformatted text preview: 2017 Fall Semester ME 501 Mechanical Engineering Analysis Homework 1: First‐order ODEs Solutions: 1. 7 sin 4 4 cos 2 2. 1 3. , 0.5 /4 4 3 2√3 0.5 2 2 5 1, 0 1 Solution exists only for 1 4. For 1 0: 1: For 0 1 3 5. 6. cos 4. sin cos / , 1 , 0 1 1 1 0 arctan arctan 1 2.5 2.5/ 7. 2 8. tan sin , 0 1 sin 2 cos sin 1 2 cos Solution of this problem can be also represented in other forms since sin 1 cos and sin 1 cos 2 /2 9. (Solve as the Bernoulli equation)...
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