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JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Integral curve satisfying y′=x2+y2x2−y2,y(1)=2y' = \frac{{{x^2} + {y^2}}}{{{x^2} - {y^2}}},y\left( 1 \right) = 2 has the slope at the point (1,0) of the curve is equal to
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Correct option: C
1
Option C (1) is correct because the slope of the integral curve at the point (1,0) is found by substituting x=1 and y=0 into the derivative equation.

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