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JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1
The solution of y′+xy=xy−1,y(0)=2y^{\prime}+x y=x y^{-1}, y(0)=2 is given by
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Correct option: C
y2=3+e−x2y^2=3+e^{-x^2}
Option C (y2=3+e−x2y^2=3+e^{-x^2}) is correct because it is the solution to the differential equation y′+xy=xy−1y^{\prime}+x y=x y^{-1} with the initial condition y(0)=2y(0)=2.

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