Practice exam 2 solutions

# Practice exam 2 solutions - the differential equation...

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Math 267 Practice Exam 2 October 5, 2009 Name: , 1. (6 points) Compute the Wronskian of the functions y\ e 2x sin3x and t/2 = e 2x cos3x. 2. (6 points) Find the general solution to the differential equation y" + y'-2y = 0 3. (6 points) Find the general solution to the differential equation y" - 8y' + 25y - 0 4. (6 points) Find the general solution to the differential equation 5. (6 points) Find the general solution to the differential equation y'"-'2y"-y' + 2y = Q 6. (15 points) Use the method of undetermined coefficients to find a particular solution to

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Unformatted text preview: the differential equation y"- 3y' + 2y = sinx + e x 7. (15 points) Use the method of variation of parameters to find a particular solution to the differential equation y" + y = sec 3 x 4-X "2-X x ""• ( •s 4X <A e S^vr^X ) H x e "-5/h *-^ x- -^x 3x- 1> e ^=5 ^ "^>x-- 3 =-o \r — —- 1 4-? y = o r 4-a —-C v~--2_) = c/b Z ( -o -=-O-3-4-* ^I'S ~ +-LJ =r ~o-h-u U <^>SX 4-LA S/v* X ~~ u k S/VvX 4-M X-v-^**yc _ r U-^ M ^ _.L ^ v •/ coi^ ^ ^ _ (_ )...
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## This note was uploaded on 10/05/2009 for the course MATH 267 taught by Professor Willson during the Spring '08 term at Iowa State.

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Practice exam 2 solutions - the differential equation...

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