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in Differential Equations by (35.1k points)
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The solution of the DE (ex + 1)y dy = (y + 1) ex dx is

A. ey = C (ex +1 )(y + 1)

B. ey = ex + y + 1

C. y = (ex + 1) (y + 1)

D. None of these

1 Answer

+1 vote
by (37.0k points)
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Best answer

(ex + 1)y dy = (y + 1) ex dx

On differentiating on both sides we get ex dx = dt

Now we can write this equation as 

On integrating on both sides, we get

Conclusion: There for ey = C (y + 1) (ex + 1) is the solution of (ex + 1)y dy = (y + 1) ex dx

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