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Q1 please provide justified solutions as soon as possible and i will upvote you and give you good feedback...remember solution must be in good hand

Q1 please provide justified solutions as soon as possible and i will upvote you and give you good feedback...remember solution must be in good hand writing and neat..thanks and give me in 90 minutes

1. The initial value problem is given u'(t) = sin(t) + cos(u(t)), t E (0, 00) 11(0) = 1. Show that the differential equation has a unique solution

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