What is a solution to the differential equation $(y+1)dy/dx=2x$ ?

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Answer 1 · 2016-08-01T22:51:12

$y =pm sqrt(2 x^2 + C) - 1$

$(y+1)dy/dx=2x$

this has already been separated!

integrating wrt x
$int \ (y+1)dy/dx \ dx=int \ 2x \ dx$

$int \ (y+1) \ dy=2 int \ x \ dx$

$1/2(y+1)^2 =x^2 + C$

$(y+1)^2 =2 x^2 + C$

$y+1 =pm sqrt(2 x^2 + C)$

$y =pm sqrt(2 x^2 + C) - 1$

What is a solution to the differential equation (y+1)dy/dx=2x(y+1)dy/dx=2x?