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Material Type: Exam; Class: Differential Equations with Matrix Theory; Subject: Mathematics; University: Boise State University; Term: Unknown 2009;
Typology: Exams
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The test will begin at 7:40 am and end at 8:35 am. You may use a plain scientific calculator without graphing or symbolic computation capabilities; you may not use any other calculator, and in fact I think there is no need for a calculator at all on this exam. Books, notes, and neighbors are to remain firmly closed. Show all work.
x^2 y′^ = y − 1;
y(0) = 1
ty′^ − y = 6t.
Hint: you need to put this into the right algebraic form before you can apply the technique of solution!
(y + 2x)dx + (x + 1)dy = 0;
y(0) = 2 :
first check that the equation is exact, then solve the equation in the form F (x, y) = c, then explicitly solve the equation for y in terms of x and solve the initial value problem.
