Use the method of Examples 5, 6, and 7 to find general solutions of the systems in
Question:
Use the method of Examples 5, 6, and 7 to find general solutions of the systems in Problems 11 through 20. If initial conditions are given, find the corresponding particular solution. For each problem, use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system.
x' = -2y, y' = 2x; x (0) = 1, y(0) = 0
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Example 5 Continued With initial values x (0) = 2, y (0) = 0, the general solution in Example 5 yields x (0) = A=2, y(0) = B = 0. The resulting particular solution is given by x(t) = 2 cost, y(t) = sint.
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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