Question: For what value of k is the function (x + t) k an integrating factor for the differential equation d.x [(x + 1)In(x + t)

For what value of k is the function (x + t)k an integrating factor for the differential equation

d.x [(x + 1)In(x + t) + x] + x = 0? dt

d.x [(x + 1)In(x + t) + x] + x = 0? dt

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