**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) ...

View
Full Document

- Spring '14
- WillardC.Schreiber