Math miscellaneousHard

Question

If = y + 3 > 0 and y (0) = 2 , then y (ln2) is equal to

Options

A.5
B.13
C.-2
D.7

Solution


ln (y + 3) = x + c
x = 0 ⇒ y = 2
⇒ ln 5 = 0 + c
c = ln 5
ln (y + 3) = x + ln 5
y + 3 = ex + ln5 ⇒ y + 3 = eln2 + ln5
y + 3 = 10     ⇒ y = 7

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