Please answer all parts of the question. Please show all work and all steps. 1a.) Show...

Please answer all parts of the question. Please show all work and all steps.

1a.) Show that the solutions of x' = arc tan (x) + t cannot have maxima

1b.) Find the value of a such that the existence and uniqueness theorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a.

1c.) Find the limits, as t approaches both positive infinity and negative infinity, of the solution Φ(t) of the ivp x' = (x+2)(1-x^4), x(0) = 0

Expert Solution

Colby Messinger answered 2 years ago

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