MAP 2302 Midterm: MAP 2302 FIU Exam 202fk
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Prof. s. hudson: given that y = x is a solution of x2y reducing the order. 4xy + 4y = 0, nd the general solution by: use the method of uc"s to nd a particular solution of the de: y +2y +2y = 10 sin(4x). Small help 1), yc = e x(c1 sin(x) + c2 cos(x)). Small help 2), you can stop when you get to the two equations in two unknowns ( a and b , no x"s): choose one proof. 6y = 0: solve the de: y equation is m2 once you have a formula for v . 2y + y = xex ln(x) (x > 0). 2m + 1 = (m 1)2 = 0, which has a double root. Small help 2), stop: solve this cauchy-euler i. v. p for x > 0: x2y + 5xy + 3y = 0 with y(1) = 1 and y (1) = 5.
