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It's a fact that Taylor series can be used to study approximate solutions to non-linear ODEs....

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Its a fact that Taylor series can be used to study approximate solutions to non-linear ODEs. Use this fact to study approxim

It's a fact that Taylor series can be used to study approximate solutions to non-linear ODEs. Use this fact to study approximate solutions to PI + sin 2 = 0, (1) subject to 2(0) = () and x'(0) = 1 > 0. Discuss conditions under which your reasoning is accurate, and make sure to include everything you can say. Make choices for 2 to illustrate your points ONLY; make sure to address the problem in full generality in a separate conclusive paragraph. dia

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Comparing coefficient of t 20 ast az o 6 olo o 20 as 291 6 as = = 60 ai 60 Com pasing coefficient of t 4 Зоа, тач 3 a, az o 6dx X (0) = 24 + sina = o x(0) = 0, at 80 let a(t) = { anth n-1 x(t) = Enant nz n-2 En(n-dant n=2 using sinx= x- tas 3] जा an

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