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Unformatted text preview: Math 152 Workshop 10 Spring 2011 1. Find the general solution of the differential equation e- y dy dt + 2 cos t = 0 . (a) Sketch the solutions corresponding to several values of the constant of integration, C . Does every value of the constant of integration correspond to a solution curve? If not, which C ’s do occur? (b) Do all the solutions have the same domain? Explain. (c) Sketch the direction field associated with this equation and superimpose your sketches of solution curves on the direction field. (Suggestion for sketching the direction field: sketch at several points along the line t = 0, then at the corresponding points along the lines t = π/ 6, π/ 3, π/ 2, etc.) 2. The horizontal and vertical axes on the graph below have different scales. x goes from- 10 to 10 and y goes from- 1 to 3 . 5. The graph is a direction field for the differential equation y = 1 10 ( 1- 1 10 yx 2 ) ....
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This note was uploaded on 01/10/2012 for the course CALCULUS 152 taught by Professor Sosa during the Spring '11 term at Rutgers.
- Spring '11