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Question

The solution of the differential equation dydx=ky,, y(0) = c is

A
x = ceky
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B
x = kecy
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C
y = cekx
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D
y=cekx
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Solution

The correct option is C y = cekx
dydx=ky,y(0)=c

dyy=kdx

Integrated both sides

log y = kx + log G

y = Gekx

y(0) = C

G=c

y = cekx

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