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The answer to problem 1 in quiz #5 of math 231. The problem asks to find a general solution to the differential equation y′′ − 2y = t + e−t − 3 sin t using the method of undetermined coefficients and the superposition principle. The solution is given as a combination of exponential functions and a trigonometric function.
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Math 231: QUIZ #5 NAME:
Show all of your work as partial credit will be given.
y′′^ − 2 y = t + e−t^ − 3 sin t.
Problem 1.
y = c 1 e
√ 2 t (^) + c 2 e − √ 2 t (^) − t 2
− e−t^ + sin t
