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Solve the following differential equationsa. =x-xsquaredb. =1-|x-1|c. = xt/1-xIn each case also i) discuss the...

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Solve the following differential equationsa. =x-xsquaredb. =1-|x-1|c. = xt/1-xIn each case also i) discuss the local existence and uniqueness; ii) discuss the maximum interval of existence of the solution(s); iii) draw the integral curves to show your findings

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