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I am trying to:

Show that y1(t)=t^2 and y2(t)=t^2+1

for the differential equation:

dy/dt=-y^2+y+2t^2y+2t-t^2-t^4

This is clearly a non-linear, non-seperable equation, and I cannot see how to try the method of exact equations on it. Therefore, I am stuck.

Anyone have any ideas of what to try?

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# Help with a method please?

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