Solution of differential equation dydx - yx - 11 - - nx - - ny is where C is an integration constant

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Homogeneous Differential Equation

Solution of d...

Question

Solution of differential equation $\frac{d y}{d x} + \frac{y}{x} = \frac{1}{(1 + ℓ n x + ℓ n y)}$ is (where C is an integration constant)

2 (1 + ℓ n (x y)) = x^{2} + C

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x y ℓ n (x y) = x^{2} + C

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(1 + ℓ n (x y)) = x^{2} + C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 x y ℓ n (x y) = x^{2} + C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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Solution

The correct options are
A $2 (1 + ℓ n (x y)) = x^{2} + C$
D $2 x y ℓ n (x y) = x^{2} + C$

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Similar questions

The solution of differential equation $\frac{d y}{d x} + \frac{2 x y}{1 + x^{2}} = \frac{1}{(1 + x^{2})^{2}}$ is
(a) $y (1 + x^{2}) = C + t a n^{- 1} x$
(b) $\frac{y}{1 + x^{2}} = C + t a n^{- 1} x$
(c) $y l o g (1 + x^{2}) = C + t a n^{- 1} x$
(d) $y (1 + x^{2}) = C + s i n^{- 1} x$