Mathematics · Differential Equations
Consider the following two initial value ordinary differential equations (ODEs): (A) dxdt = x3, x(0) = 1; (B) dxdt = x sin(x2), x(0) = 2. Related to these ODEs, we make the following assertions: I. The solution to (A) blows up in finite time. II. The solution to (B) blows up in finite time. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both (I) and (II) are true
- 2(I) is true but (II) is false✓
- 3Both (I) and (II) are false
- 4(I) is false but (II) is true
Correct answer
(I) is true but (II) is false
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