Not sure how to go about this....

Find thegeneral solution to the equation:

x+2y(√x^2+1) dy/dx = 0.

Could anyone explain? Thanks.

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- Feb 7th 2009, 09:12 PMmr_motivatorGeneral solutionNot sure how to go about this....

Find thegeneral solution to the equation:

x+2y(√x^2+1) dy/dx = 0.

Could anyone explain? Thanks.

- Feb 8th 2009, 07:06 AMHallsofIvy
That's a separable differential equation. Write it as (in other words, separate it!) $\displaystyle 2ydy= -x\sqrt{x^2+ 1}dx$ and integrate both sides. To do the x integration, let $\displaystyle u= x^2+ 1$.