Mathematics · Ordinary Differential Equations
Let k be a positive integer. Consider the initial value problem: dy/dt = y 5k/(5k+2) for t > 0, y(0) = 0 Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It has no continuously differentiable solution on (0, ∞).
- 2It has infinitely many solutions which are continuously differentiable on (0, ∞).✓
- 3It has at most two solutions which are continuously differentiable on (0, ∞).
- 4It has a unique solution which is continuously differentiable on (0, ∞).
Correct answer
It has infinitely many solutions which are continuously differentiable on (0, ∞).
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