If $\frac{d y}{d x}=\frac{x+y-2}{x-y}$ and $y(0)=2$, find $y(2)$

JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

\frac{d y}{d x}=\frac{x+y-2}{x-y}

and

y(0)=2

, find

y(2)

View answer and explanation

Correct option: A

Option A (0) is correct because solving the differential equation with the given initial condition leads to the solution where y(2) = 0.

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