If f x - y -0 be the solution of differential equation 2 y cosec 2 x -ln y dx -lntan x -2 x cosec 2 y dy -0 such that f -4- -2-0f x - y isA- tan xx yyB- tan xy2 yx2C- tan xy yxD- tan xx2 yy2

The correct option is C (tan x)^y (cot y)^x f(x, y) = (tan x)^y (cot y)^x ...

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Byju's Answer

Standard XII

Mathematics

Domain

If f x , y =0...

Question

If f(x, y) = 0 be the solution of differential equation (2y cosec 2x + ln cot y)dx + (ln tan x - 2x cosec 2y)dy = 0 such that $f (\frac{π}{4}, \frac{π}{2}) = 0$

f(x, y) is

$(t a n x)^{x} (c o t y)^{y}$

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$(t a n x)^{y} (c o t y)^{x}$

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$(t a n x)^{x^{2}} (c o t y)^{y^{2}}$

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$(t a n x)^{y^{2}} (c o t y)^{x^{2}}$

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Solution

The correct option is B
$(t a n x)^{y} (c o t y)^{x}$

$f (x, y) = (t a n x)^{y} (c o t y)^{x}$

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