Mathematics · Differential Equations
दिया गया है कि J0(x), J0'(x) और J0''(x) के लाप्लास रूपांतर (Laplace transforms) मौजूद हैं, जहाँ J0(x) शून्य कोटि का बेसेल फलन (Bessel function) है। मान लीजिए Y = Y(s), J0(x) का लाप्लास रूपांतर है। तो निम्नलिखित में से कौन सा कथन सत्य है?
- 1dY/ds + sY/(s2 + 1) = 0, s > 0✓
- 2dY/ds - sY/(s2 + 1) = 0, s > 0
- 3dY/ds + 2sY/(s2 + 2) = 0, s > 0
- 4dY/ds + 2sY/(s2 + 1) = 0, s > 0
सही उत्तर देखें
dY/ds + sY/(s2 + 1) = 0, s > 0
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