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Question: consider the simple nonlinear equation yy20 a find explicitly its...

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Consider the simple nonlinear equation:

y'-y2=0

a) Find explicitly its general solution.

b) Find the particular solution corresponding to y(2)=0

c) Show that the constant function y(t)=0 is also a solution, and that it is not part of your answer from (a).

d) Find the particular solution corresponding to y(2)=0

I have worked up to part c, and found my particular solution for y(2)=1 to be y(t)=\frac{1}{3-t} which I believe to be correct. What I do not understand is how to find a second general solution based off y(t)=0, and another answer for y(2) that is not 1, but 0. Thank you for any help.

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