Question: ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS Solve each of the following by using Laplace transforms and check solutions. Ans. Y t 44. Y+tY' Y

ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS Solve each of the following by using Laplace transforms and check

ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS Solve each of the following by using Laplace transforms and check solutions. Ans. Y t 44. Y"+tY' Y = 0, Y(0) = 0, Y'(0) = 1. 45. tY"+(1-2t) Y'2Y = 0, Y(0) = 1, Y'(0) = 2. 46. tY"(t-1)Y'Y = 0, Y(0) = 5, Y() = 0. 47. Find the bounded solution of the equation - which is such that Y(1) = 2. Ans. Y et Ans. Y 5e-t 12y" +tY' + (t-1) Y = 0 Ans. 2J (t)/J (1)

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