Physics · Ordinary Differential Equations
Consider the following two initial value ordinary differential equations (ODEs): (A) dxdt = x2, x(0) = 1 (B) dxdt = x sin(x3), x(0) = 2 Related to these ODEs, the following assertions are made: (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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- 1I is false but II is true
- 2Both I and II are false
- 3I is true but II is false✓
- 4Both I and II are true
Correct answer
I is true but II is false
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