Math 131

of L1(X,m). Ch. 2 - Exercise 1 Given the Bessel function J0(x)=1/pi Int(cos(x sin u) du, 0, pi) use the intertwining properties of LT to prove that L(z, J0)=1/(1+z^2)^(1/2). - Exercise 2 Solve the . differential equation . x y'' + 2 y' + xy=0 by applying the Laplace Transfiorm and using its intertwining properties. ................
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