Question

Please help me solve the following ODE (explicit soln):

dy/dx = (y-1)^2 , y(0) = 1

I have worked through it and my answer is y = -1/x but my book is showing the answer as y = 1

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Answer 1

I think there might be a typo here. If y = 1, you get dy/dx = 0. There may be something wrong with the initial condition, or the answer itself is wrong.