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Let y=f(x) be satisfying differential equation e^(-x^(2))(dy)/(dx)=2xy^(2) such that f(0)=(1)/(2) Q. Which of the following statement is correct about f(x)? |
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Answer» `f(x)` is unbounded `-(1)/(y)=E^(x^(2))+C` POINT `(0.(1)/(2))` lies on the curve `implies-2=1+C` `impliesC=-3` Hence `-(1)/(y)=e^(x^(2))-3` `impliesf(x)=(1)/(3-e^(x^(2)))` Hence, `f(x)` is even which means that it cannot be objective Also, denominator of `f(x)` becomes zero which implies that it cannot be bounded. |
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