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Class 9 Homework-

Let y:RRsatisfy the initial value problem

y(t)=1y2(t),tR,y(0)=0

Then

(a) y(t1)=1 for some t1R.

(b) y(t) > −1 for all t ∈ R.

(c) y is strictly increasing in R.

(d) y is increasing in (0, 1) and decreasing in (1,∞).




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