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Question

Mathematics Question on Area between Two Curves

If the solution curve f(x, y) = 0 of the differential equation (1+loge x) dxdy\frac{dx}{dy} - x loge x = ey , x > 0, passes through the points (1,0) and (α, 2) then αa is equal to

A

ee2e^{e^{2}}

B

e2e2e^{\sqrt2e^{2}}

C

e2e2e^{2e^{\sqrt2}}

D

e2e2e^{2e^{2}}

Answer

e2e2e^{2e^{2}}

Explanation

Solution

The correct option is(D): e2e2e^{2e^{2}}