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Given the IVP x * sqrt(x+1) * y'''-y'+xy=0 when y(1/2)=y'(1/2)=-1 , and y''(1/2)=1 determine the larest...

Given the IVP x * sqrt(x+1) * y'''-y'+xy=0 when y(1/2)=y'(1/2)=-1 , and y''(1/2)=1

determine the larest interval for which the apporpriate existsence and uniqueness therom gaurentees the exsistence of a unique solution, show all work and fully justify why andhow you got that interval.

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Answer #1

Doubt in any step then comment below.. i will explain you.

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please thumbs up for this solution...thanks..

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here first we find the intervals where p(x) and q(x) are continous ...now we pick that interval whose contains initial point ...

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