ENGR 213 Midterm: exam-9-february-2007-questions
Exam 9 February 2007, questions
Applied Ordinary Differential Equations (Concordia University)
Exam 9 February 2007, questions
Applied Ordinary Differential Equations (Concordia University)
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Distributing prohibited | downloaded by claudia derose (claudiaderose19@gmail. com) lomoarcpsd|908726. Directions: you have 60 minutes to solve the following 4 problems. No cell phones are allowed during the exam. (1) (10 points) for each of the following rst-order di erential equations, state whether it is sep- arable, linear, homogeneous, or none of the above. You do not need to explain your answers. Each equation may correspond to more than one listed type (in which case you must list all types) or none of those. (a) (b) dy dx dy dx dy. = y x dx (c) (d) xy dy y dx = 0. = x y (e) xy dx dy (2) (10 points) find a general solution of the rst-order linear equation y = 2y + e 2x. (3) let. How many rabbits will be there one year later? (give the exact value calculated with this model, do not approximate. )