Question
Download Solution PDFIf
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
- log m + log n = log mn
- log mn = n log m
Calculation:
Given that,
⇒
Doing integration on both sides
⇒
Since,
⇒ ln y = x ln 5 + ln C
Using the logarithmic property (2) & (3)
⇒ ln y = ln 5x + ln C
⇒ ln y = ln C5x
⇒ y = C × 5x ------(1)
According to the question, y(0) = ln 5
ln 5 = C × 50
⇒ C = ln 5
Put this value in equation (1)
⇒ y = 5x ln 5
Put x = 1
∴ y(1) = 5 ln 5
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