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Question

The solution of the differential equation dydx=ey+x+eyx is

A
ey=exex+c, c integrating constant
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B
ey=exex+c, c integrating constant
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C
ey=ex+ex+c, c integrating constant
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D
ey+ex+ex=c, c integrating constant
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Solution

The correct option is B ey=exex+c, c integrating constant
Given differential equation is
dydx=ey+x+eyx
eydy=(ex+ex)dx
ey=exexc
ey=exex+c

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