Mathematics · Differential Equations
The general solution of the differential equation y'' - 2y' - 3y = et is given in the form y(t) = C1e-t + C2e2t + C3e3t. What can be concluded about the constants C1, C2, and C3?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1C1 and C2 are arbitrary constants, and C3 = -1/3
- 2C2 and C3 are arbitrary constants, and C1 = -1/3
- 3C1 and C3 are arbitrary constants, and C2 = -1/3✓
- 4C1, C2, and C3 are all arbitrary constants
Correct answer
C1 and C3 are arbitrary constants, and C2 = -1/3
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