Find the general solution of the differential equation . But the answer given in the book is . Where have I gone wrong?
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Originally Posted by alexmahone Find the general solution of the differential equation . But the answer given in the book is . Where have I gone wrong? Setting Your DE is... (1) ... and the integration is immediate... (2) Kind regards
Originally Posted by alexmahone Find the general solution of the differential equation . But the answer given in the book is . Where have I gone wrong? You have gone wrong by treating y as a constant and not as a function of x. You should recognise that this is actually a Bernoulli Equation.
Originally Posted by chisigma Setting Your DE is... (1) ... and the integration is immediate... (2) Kind regards But what's wrong with my solution?
Originally Posted by Prove It You have gone wrong by treating y as a constant and not as a function of x. You should recognise that this is actually a Bernoulli Equation. I know that this is a Bernoulli equation; that is why I multiplied by the integrating factor x. Which step of my solution is actually invalid?
Originally Posted by alexmahone I know that this is a Bernoulli equation; that is why I multiplied by the integrating factor x. Which step of my solution is actually invalid? Which steps are invalid? 1. Not making an appropriate substitution. 2. Performing integration treating a function of the independent variable like a constant...
Originally Posted by alexmahone But what's wrong with my solution? You arrived [correctly...] to write... (1) ... and then You [incorrectly...] operated as in case of separate variables... but in (1) x and y aren't separate... Kind regards
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