Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
- log m + log n = log mn
- log mn = n log m
गणना:
दिया गया है कि,
⇒
दोनों पक्षों पर समाकलन करने पर
⇒
चूँकि,
⇒ ln y = x ln 5 + ln C
लघुगणक गुण (2) और (3) का प्रयोग करने पर
⇒ ln y = ln 5x + ln C
⇒ ln y = ln C5x
⇒ y = C × 5x ------(1)
प्रश्नानुसार, y(0) = ln 5
ln 5 = C × 50
⇒ C = ln 5
समीकरण (1) में इस मान को रखने पर
⇒ y = 5x ln 5
x = 1 रखने पर
∴ y(1) = 5 ln 5
Last updated on Jun 18, 2025
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