Mathematics · Differential Equations
If x = x(t), y = y(t) is the solution of the initial value problem: dxdt = x - 4e-2ty dydt = e2tx - y with x(0) = 1, y(0) = 1, then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1limt → ∞ t-2 x(t) y(t) = 2
- 2x(1/2) = 0, y(1) = 0
- 3x(1) = 0, y(1/2) = 0
- 4limt → ∞ t-2 x(t) y(t) = 0✓
Correct answer
limt → ∞ t-2 x(t) y(t) = 0
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