Please answer all parts of the question. Please show all workand all steps.
1a.) Show that the solutions of x' = arc tan (x) + t cannot havemaxima
1b.) Find the value of a such that the existence and uniquenesstheorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a.
1c.) Find the limits, as t approaches both positive infinity andnegative infinity, of the solution Φ(t) of the ivp x' =(x+2)(1-x^4), x(0) = 0
