Mathematics · Integral Equations
Let f and K be such that the solution of the initial value problem Testbook + 2 y'' - 3y' + 2y = 4 sin(x), with y(0) = 1 and y'(0) = -2 Prepp satisfies the Volterra integral equation Prepp y(x) = f(x) + ∫0x K(x, t) y(t) dt. Prepp Then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(0) + f'(0) = -4
- 2f(π) + f'(π) = 2 - π
- 3f(π) + f'(π) = 4 - π
- 4f'(π) = 3✓
Correct answer
f'(π) = 3
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