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MATH 246 FINAL EXAM
TIME: 1:30-3:30 PM, MAY 16, 2003
Answer each question on one answer sheet, using the back if necessary (indicating on the front
that your work continues on the back). Write your name, your instructor's name, and the question
number on each answer sheet. Carefully show all the steps in your solutions, explaining your
arguments in complete English sentences. Cross out any material that you do not wish graded.
Where appropriate, circle or box your final answer. Calculators are NOT allowed. Good luck!
(1) (20 pts) Solve the initial value problem (IVP)
{
dy
2x dx + 3y = 6
y(I)=3.
(2) (20 pts) Let y(t) be the solution of the initial value problem (IVP)
{
y' = cos(ty) + 2
y(O) = _3; .
Find the approximation to the value of y(7r) obtained by taking two (equal) steps of the
Euler method.
(3) (20 pts) A tank, which has a capacity to hold 100 gallons of water, contains 10 gallons of pure
water initially. A water - salt mixture consisting of 3 lb salt per gallon o...

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