Show transcribed image text (1 point) Use the Laplace transform to solve the following initial value problem: y" – 9y 18y 0, y(0) -3, y (0) 6 (1) First, using Y for the Laplace transform of y(t), i.e., Y = CO(t), find the equation you get by taking the Laplace transform of the differential equation to obtain =0 (2) Next solve for Y = (3) Now write the above answer in its partial fraction form, Y =-+ (NOTE: the order that you enter your answers matter so you must order your terms so that the first corresponds to a and the second to b, where a
(1 point) Use the Laplace transform to solve the following initial value problem: y" – 9y 18y 0, y(0) -3, y (0) 6 (1) First, using Y for the Laplace transform of y(t), i.e., Y = CO(t), find the equation you get by taking the Laplace transform of the differential equation to obtain =0 (2) Next solve for Y = (3) Now write the above answer in its partial fraction form, Y =-+ (NOTE: the order that you enter your answers matter so you must order your terms so that the first corresponds to a and the second to b, where a
