ABSTRACT
A differential equation of the form dy dx = f ( x ) . f ( y ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq4563.tif"/> , where f(x) is a function of x only and f(y) is a function of y only, may be rearranged as dy f ( y ) = f ( x ) dx https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq4564.tif"/> , and then the solution is obtained by direct integration, i.e. ∫ dy f ( y ) = ∫ f ( x ) dx https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq4565.tif"/>
