Ex 9.6, 17 - Curve through (0,2), sum of coordinate of point - Ex 9.6

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  1. Chapter 9 Class 12 Differential Equations
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Ex 9.6, 17 Find the equation of a curve passing through the point 0 , 2﷯ given that the sum of the coordinate of any point of curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5 We know that Slope of the tangent at (x, y) = 𝑑𝑦﷮𝑑𝑥﷯ Given : 𝑑𝑦﷮𝑑𝑥﷯﷯ + 5 = x + y 𝑑𝑦﷮𝑑𝑥﷯﷯ = x + y – 5 𝑑𝑦﷮𝑑𝑥﷯ = ± (x + y − 5)

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