Question: are the following statements true or false? A function, F ,can be an antiderivative of two different functions there is only one function y=f(x) satisfying

are the following statements true or false?

  1. A function, F ,can be an antiderivative of two different functions
  2. there is only one function y=f(x) satisfying the following initial value problem... dy/dx= x2+cosx ; y(0) = 5

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