For the differential equation find the solution curve passing through the point (1, –1).

For this question, we need to find the particular solution at point(1,-1) for the given differential equation.

Given differential equation is

Separating variables,

Or,

Integrating both sides,

Now separating like terms on each side,

Or,

Now we are given that, the curve passes through (1, -1)

⇒ -2-c = log (1)

⇒ c = -2 + 0 (∵ log(1) = 0)

So c = -2

Putting the value of c in

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