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Find the constants m and c for which y = mx + c is a solution of the differential equation y'' - 3y' - 4y = -4x.
- m = -1, c = 3/4
- m = 1, c = -3/4
- no such real m, c exist
- m = 1, c = 3/4
Correct answer: m = 1, c = -3/4
Solution
Substitution gives -3m - 4(mx + c) = -4x; comparing coefficients gives m = 1 and c = -3/4.
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