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Q65Section II (Mathematics)65 of 180

Picard's existence interval, optimised over the rectangle's height

For the initial value problem y′=y2+cos⁡2x,y(0)=0y'=y^2+\cos^2x, y(0)=0 the interval of existence of solution in rectangle R:{(x,y)∣0≤x≤a,∣y∣≤b,a>1/2,b>0}R:\{(x,y)\mid0\le x\le a,|y|\le b, a>1/2,b>0\} is:

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