Mathematics · Differential Equations
Which of the following functions represents the general solution of the second-order linear differential equation d2ydx2 - 8 dydx + 16y = 2e4x?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1α1e4x + α2xe4x + x2e4x, where α1, α2 ∈ ℝ✓
- 2α1e4x + α2xe4x + 2x2e4x, where α1, α2 ∈ ℝ
- 3α1e-4x + α2e4x + 2x2e4x, where α1, α2 ∈ ℝ
- 4α1xe-4x + α2x2e-4x + x2e4x, where α1, α2 ∈ ℝ
Correct answer
α1e4x + α2xe4x + x2e4x, where α1, α2 ∈ ℝ
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