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Talk:Formal power series: Difference between revisions
→About solving equations
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assuming that d/d''x'' denotes the differential operator. The task uses the integral operator instead and sin''x'' as a temporal. Shouldn't it work with '''any''' operator defined defined in the task, in any combination of? --[[User:Dmitry-kazakov|Dmitry-kazakov]] 10:32, 17 February 2009 (UTC)
:But also <math>\sin x = \frac{-d^2}{dx^2} \sin x</math>; and in fact any linear combination of sin and cos will satisfy that differential equation you gave. The basic reason why we don't use differentiation is that it loses information, so equations based on differentiation will not have unique solutions. --[[Special:Contributions/76.167.241.45|76.167.241.45]] 06:00, 18 February 2009 (UTC)
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