Question

[1 +x²] dy = (1+y²] dx simpility​

Answer 1

Step-by-step explanation:

$(1 + {x}^{2} )dy = (1 + {y}^{2} )dx \\ \frac{dy}{1 + {y}^{2} } = \frac{dx}{1 + {x}^{2} } \\ integating \: on \: both \: sides \\ {tan}^{ - 1} y = {tan}^{ - 1} x + c \\ c = {tan}^{ - 1} y - {tan}^{ - 1} x \\ = = = = = = = = = =$