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Find (Dy)By(Dx) at X = 1, Y = `Piby4` If `Sin^2 Y + Cos Xy = K`

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Question

Find `(dy)/(dx)` at x = 1, y = `pi/4` if `sin^2 y + cos xy = K`

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Solution

Consider the differential equation sin2y + cosxy = K

Differentiate the above differential equation with respect to x, to get the value of `(dy)/(dx)`

`=> d/dx (sin^2 y) + d/dx (cos xy) = d/(dx) (K)`

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2016-2017 (March) Delhi Set 1

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