Mathematics · Integral Equations
मान लीजिए f और K इस प्रकार हैं कि प्रारंभिक मान समस्या (initial value problem) y'' - 3y' + 2y = 4 sin(x), y(0) = 1, y'(0) = -2 का हल वोल्टेरा समाकलन समीकरण y(x) = f(x) + ∫0x K(x,t) y(t) dt को संतुष्ट करता है। तो निम्नलिखित में से कौन सा कथन सत्य है?
- 1f(0) + f'(0) = -4
- 2f(π) + f'(π) = 2 - π
- 3f(π) + f'(π) = 4 - π
- 4f'(π) = 3✓
सही उत्तर देखें
f'(π) = 3
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