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Unformatted text preview: Midterm Exam. Applied Ordinary Diﬀerential Equations
ENGR 213 - Section F
Exam I (B) (1) (10 points) Solve the initial value problem
(x2 + 4) dy
+ 2xy = x, y (0) = 1.
dx (2) (10 points) Solve the given homogeneous equation by the appropriate substitution
3x2 + 2y 2
You may leave the solution in implicit form. (3) (10 points) Solve the exact ordinary diﬀerential equation
√ x+ x
x2 + y2 +1 dx + y
x2 + y2 + 1 dy = 0, leaving the solution in implicit form. (4) (10 points) A pitcher of buttermilk initially at 25◦ C is to be
cooled by setting it on the front porch, where the temperature
is 5◦ C. Suppose that the temperature of the buttermilk has
dropped to 15◦ C after 20 minutes. When will it be at 10◦ C? 1 ...
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This note was uploaded on 12/07/2011 for the course ENGR 213 taught by Professor Mr.ram during the Spring '10 term at Concordia Canada.
- Spring '10