Question
Download Solution PDF\(\rm y = A -\frac{B}{x}\) का अवकलन समीकरण क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
\(\rm \frac{d}{dx} x^{n} = nx^{n - 1}\)
गणना:
हमारे पास है \(\rm y = A -\frac{B}{x}\)
x के संबंध में अवकलन करने पर, हमें मिलता है
⇒ \(\rm y_{1} = \frac{B}{x^{2}}\)
⇒ x2 \(\rm y_{1} = B\)
x के संबंध में फिर से अवकलन करने पर
⇒ \(\rm x^{2} y_{2} + 2x y_{1} = 0\)
⇒ x\(\rm (x y_{2}+ 2 y_{1}) = 0\)
⇒ \(\rm (x y_{2}+ 2 y_{1}) = 0\)
∴\(\rm y = A -\frac{B}{x}\) का अवकल समीकरण \(\rm (x y_{2}+ 2 y_{1}) = 0\) है
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