Engineering, 05.05.2020 22:19 granniejo

The Scorer function of the first kind GiGi is a solution of the differential equationd2y/dx2−xy=1/πGi may be written as the integral, Gi(x)=(1/π)∫[infinity]0 dt sin(t^3/3+xt).Using any of the means introduced in class, find the value of xx for which Gi(x∗)=0Gi(x∗)=0 on the interval [−2,+2][−2,+2]. Your answer should have at least three significant figures, accurate to within 0.1%. (E. g., 1.23 and 3.33e-8 both have three significant figures.) Use SciPy/NumPy, not SymPy, to solve this equation. Integrating over the interval [0,+[infinity]][0,+[infinity]] is hard. I recommend using 1010 in place of +[infinity]+[infinity], which gets you a convergent answer within about one percent of the correct answer at Gi(0)=0.20497...Gi(0)=0.20497 I have been correspondingly permissive with the range of acceptable answers.

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The Scorer function of the first kind GiGi is a solution of the differential equationd2y/dx2−xy=1/πG...

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