Systems of first-order equations can sometimes be transformed into a single equation of
Chapter 7, Problem 6(choose chapter or problem)
Systems of first-order equations can sometimes be transformed into a single equation of higher-order. Consider the system x_ 1 = 2x1 + x2, x_ 2 = x1 2x2. a. Solve the first differential equation for x2. b. Substitute the result of a into the second differential equation, thereby obtaining a second-order differential equation for x1. c. Solve the differential equation found in b for x1. d. Use the results of a and c to find x2.
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