Mathematics · Differential Equations
Regarding second-order differential equations with constant coefficients y'' + py' + qy = 0, which statements are CORRECT? (A) If the discriminant p2 - 4q > 0, roots are real and distinct, giving solution y = C1e(r1t) + C2e(r2t) (B) If p2 - 4q = 0, repeated root r = -p/2, giving y = (C1 + C2t)e(rt) (C) If p2 - 4q < 0, complex roots give oscillatory solution y = e(αt)[C1cos(βt) + C2sin(βt)] (D) Stability requires both roots to have negative real parts Choose the correct answer:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A, B, C and D✓
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A, B, C and D
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