Mathematics · Differential Equations
Consider the first-order linear differential equation dydt + ay = b. Which of the following statements are CORRECT? (A) The complementary function is Ce-at (B) The particular integral (equilibrium) is y* = ba (for a ≠ 0) (C) If a > 0, the solution is dynamically stable (D) If a < 0, the solution diverges over time (unstable) Choose the correct answer:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1B and D only
- 2A, B, C and D✓
- 3A and B only
- 4A, B and C only
Correct answer
A, B, C and D
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