AS.110.302 Lecture Notes - Lecture 15: Oni, Telomerase Reverse Transcriptase, Saddle Point
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Asystemoffirstorderlinearodehastheform x x p x pc zxzt pcz. mx pez2 xi. Dan xn pcz. mxn xn pcn. mx penzixzt p x x ptuxcel xct whichcanbewrittenas pcn. mxn. Anynthorderodecan beexpressedas a firstordersystembylettingxia y for x toxn y toy x y x y x x y xi x x x xz xn xn xn rearrangedodeintermsof y x xz o n i x x th i exn variable enn. Exly 5y o let x y xz y x y x xz y sy sx. E y y y y l n i x i xn. Asolutiontooursystemis avectorice with a componentfunctions allofwhicharedifferentiable alongsome i thatsatisfiestheequationpi e. I isasolutiontopx x because1634 11284 deff zest oese oce ouest dose de whengivennp iced io at toei eko io xo x d x"k nxo. I pi g icedio if pandg arecontinuouson i then 7 uniquesolutionfor i oni. Asystemoflinearodeishomogenousif for i pi1g g 8 superpositionprinciple let i c iz c piz c iz c x"s c pi c ii adecc i c iz.