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[3 marks] Consider the following statements about solutions  f (x) of the differential equation y′  = ...


[3 marks]
Consider the following statements about solutions  f (x) of the differential equation

y′  =  (xy − 7y − 9x + 63)esin x.
(i) There is no k such that  f (x)  =  k is a solution.
(ii) If  f (x)  <  9 then  f (x) is decreasing for x  <  0.
(iii) If  f (x)  <  0, then  f (x) is increasing when x  >  7.

Determine which of the above statements are True or False .
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