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The scorer function of the first kind gi is a solution of the differential equation d2ydx2−xy=1π. gi may be written as the integral, gi(x)=1π∫[infinity]0dtsin(t33+xt). using any of the means introduced in class, find the value of x for which gi(x∗)=0 on the interval [−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]] is hard. i recommend using 10 in place of +[infinity], which gets you a convergent answer within about one percent of the correct answer at gi(0)=0. i have been correspondingly permissive with the range of acceptable answers.

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The scorer function of the first kind gi is a solution of the differential equation d2ydx2−xy=1π. gi...

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