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xy = tan (xy)
let xy = t
dt/dx = y + y' x
So t= tan t
differentiate both sides
1 = sec^2 t
Again differentiate but wrt to x
0 = 2 sec t . sec.t .tant . dt/dx
dt/dx = 0
So substitute dt/dx = y + y'x
y + y'x = 0
y = - y' x
y' = -y/x
let xy = t
dt/dx = y + y' x
So t= tan t
differentiate both sides
1 = sec^2 t
Again differentiate but wrt to x
0 = 2 sec t . sec.t .tant . dt/dx
dt/dx = 0
So substitute dt/dx = y + y'x
y + y'x = 0
y = - y' x
y' = -y/x
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