M334exam1Su06solutions

M334exam1Su06solutions - Math 334(Ordinary Dierential...

Math 334 (Ordinary Differential Equations) Exam 1 KEY Part I: Multiple Choice Mark the correct answer on the bubble sheet provided. 1. If y ( x ) is the solution of y 0 = sin x cos y , y (0) = π , then the value of y ( π/ 2) is 0 2. Which of the following equations are nonlinear and second order? a) y 00 + 3 y + ty = sin( t 4 ) b) y 0 + y 2 = 0 c) y 00 + (sin t ) y = 0 d) yy 00 + y 0 = 1 e) ( y 0 ) 2 + 2 y = tan t f) y 000 + y 2 = 1. Solution: d)
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