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Q . DETERMINE A DIFFERENTIABLE FUNCTION y = f (x) WHICH SATISFIES f ‘ (x) = [ f (x) ] 2 AND f(0) = – ½.

Q . DETERMINE A DIFFERENTIABLE FUNCTION  y = f (x) WHICH SATISFIES 
f ‘ (x) = [ f (x) ]2 AND f(0) = – ½.

Grade:Select Grade

2 Answers

Kumar
37 Points
7 years ago
Dear, Your required function is f(x)=-1/(x+2) which is satiesfied the given condition and it is differential everywhere except x=-2 only.
rishabh
30 Points
7 years ago
Its a variable seperable differential equation....divide both sides by y^2... Then integrate both sides then you will get the general solution..just plug in the given conditions and you will get the soln

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