Question: See the question below 1. (a) State Picard's existence and uniqueness theorem for the initial value problem (IVP) dy = f(x, y), dx y(20) =

See the question below

1. (a) State Picard's existence and uniqueness theorem for the initial value problem (IVP) dy = f(x, y), dx y(20) = no. Consider then the IVP dy sin"(x ty) da 1 + ex' r ER, y (3) = 4, and use the theorem to show that its solution is unique on the whole real axis. [12]

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