Math 244 Midterm Exam 1 10/13/09 Mike Robertson Section: Name: Instructions.No notes or calculators allowed on this exam. Please turn o your phones. This exam is worth 200 points. If improvement is shown at the nal exam, your score will be raised. Point v
1.1 Differential Equations: Derive and substitute to verify
Make sure to check the domain!
Use implicit derivation when possible (2y)y' +2x
1.4 Separable Variable Equations
TYPE: y = f(x)g(y)
Step 1: Separate
Step 2: Integrate
Step 3: Solve for Y
Quiz 4 Math 244 Wi 05 Name u t -- .4 . _ a.
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1.)(10)Given one solution for the following D.E., find a general solution.
m3 +Hr + w am
.. (W-h \w Mfr)
Quiz 1 Math 244 Wi 05 Name
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l.)(lO)Solve the following separable D.E.:
t, . v; I 1
Ca («~33 :Céjci
("l +ch\-\1': Cex
< f , 2.). £10)Show that the fol
Solutions to Section 1.1
1. FALSE. A derivative must involve some derivative of the function y = f (x), not necessarily the rst
2. TRUE. The initial conditions accompanying a dierential equation consist of the values of y,