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(1 point) Use the Laplace transform to solve the following initial value problem x, = 10x...
Please help solving all parts to this problem and show steps. (1 point) Use the Laplace...
Please help solving all parts to this problem and show
steps.
(1 point) Use the Laplace transform to solve the following initial value problem: x' = 5x + 3y, y = -2x +36 x(0) = 0, y0) = 0 Let X(s) = L{x(t)}, and Ys) = L{y(t)}. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for YS) and X (s): X(S) = Y(s) = Find the partial fraction decomposition of X(s) and...
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 6y'...
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 6y' - 16y = 0 y(0) = 3, y(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)). find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(S) = Y(s) = A. where a <b Now by...
(1 pt) Use the Laplace transform to solve the following initial value problem: y" +-6y' +...
(1 pt) Use the Laplace transform to solve the following initial value problem: y" +-6y' + 9y = 0 y0) = 2, y'(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(s) = sta + Y(s) = 2 Now by inverting the...
1 point) Use the Laplace transform to solve the following initial value problem: y" - 9y'...
1 point) Use the Laplace transform to solve the following initial value problem: y" - 9y' + 18y-0, y(0) -3, y' (0) 3 (1) First, using Y for the Laplace transform of y(t), i.e., Y-C00), find the equation you get by taking the Laplace transform of the differential equation to obtain (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...
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 3y...
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 3y = 0 y(0) = -1, y(0) = 7 First, using Y for the Laplace transform of y(t), i.e.. Y = C{y(t)} find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y (8) and write the above answer in its partial fraction decomposition, Y(s) Y(8) = B b where a <b sta !! Now by...
(6 points) Use the Laplace transform to solve the following initial value problem: y" + 3y'...
(6 points) Use the Laplace transform to solve the following initial value problem: y" + 3y' = 0 y(0) = -3, y'(0) = 6 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 = = + Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) where a <b Y(S) B s+b sta + Now...
(1 point) Use the Laplace transform to solve the following initial value problem: "7-0 (0)7, (0)-2...
(1 point) Use the Laplace transform to solve the following initial value problem: "7-0 (0)7, (0)-2 First, using Y for the Laplace transform of ), .e.Y Cu)). find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(s) and write the above answer in its partial fraction decomposition, y(s)-- + where a < b Now by inverting the transform, find y(t)
please help (1 point) Use the Laplace transform to solve the following initial value problem: y"...
please help
(1 point) Use the Laplace transform to solve the following initial value problem: y" + y = 0, y(0) = 1, y'(0) = 1 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(0), find the equation you get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =
(1 point) Use the Laplace transform to solve the following initial value problem: y"-7y+10y 0, (0)...
(1 point) Use the Laplace transform to solve the following initial value problem: y"-7y+10y 0, (0) 6, /(0) -3 (1) First, using Y for the Laplace transform of y(t), Le, Y find the equation you get by taking the Laplace transform of the differential equation to obtain C() 0 (2) Next solve for Y A (3) Now write the above answer in its partial fraction form, Y + 8-6 8a (NOTE: the order that you enter your answers matter so...
Please answer the blamnks. Thank you. (1 point) Use the Laplace transform to solve the following...
Please answer the blamnks.
Thank you.
(1 point) Use the Laplace transform to solve the following initial value problem: y6y9y 0,with y(0) 1, y (0) = -4 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)} find the equation you get by taking the Laplace transform of the differential equation =0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, A Y(s) (s+a} s+a Y(s) Now by inverting the transform,...
Please help solving all parts to this problem and show
steps.
(1 point) Use the Laplace transform to solve the following initial value problem: x' = 5x + 3y, y = -2x +36 x(0) = 0, y0) = 0 Let X(s) = L{x(t)}, and Ys) = L{y(t)}. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for YS) and X (s): X(S) = Y(s) = Find the partial fraction decomposition of X(s) and...
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 6y' - 16y = 0 y(0) = 3, y(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)). find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(S) = Y(s) = A. where a <b Now by...
(1 pt) Use the Laplace transform to solve the following initial value problem: y" +-6y' + 9y = 0 y0) = 2, y'(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(s) = sta + Y(s) = 2 Now by inverting the...
1 point) Use the Laplace transform to solve the following initial value problem: y" - 9y' + 18y-0, y(0) -3, y' (0) 3 (1) First, using Y for the Laplace transform of y(t), i.e., Y-C00), find the equation you get by taking the Laplace transform of the differential equation to obtain (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...
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 3y = 0 y(0) = -1, y(0) = 7 First, using Y for the Laplace transform of y(t), i.e.. Y = C{y(t)} find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y (8) and write the above answer in its partial fraction decomposition, Y(s) Y(8) = B b where a <b sta !! Now by...
(6 points) Use the Laplace transform to solve the following initial value problem: y" + 3y' = 0 y(0) = -3, y'(0) = 6 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 = = + Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) where a <b Y(S) B s+b sta + Now...
(1 point) Use the Laplace transform to solve the following initial value problem: "7-0 (0)7, (0)-2 First, using Y for the Laplace transform of ), .e.Y Cu)). find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(s) and write the above answer in its partial fraction decomposition, y(s)-- + where a < b Now by inverting the transform, find y(t)
please help
(1 point) Use the Laplace transform to solve the following initial value problem: y" + y = 0, y(0) = 1, y'(0) = 1 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(0), find the equation you get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =
(1 point) Use the Laplace transform to solve the following initial value problem: y"-7y+10y 0, (0) 6, /(0) -3 (1) First, using Y for the Laplace transform of y(t), Le, Y find the equation you get by taking the Laplace transform of the differential equation to obtain C() 0 (2) Next solve for Y A (3) Now write the above answer in its partial fraction form, Y + 8-6 8a (NOTE: the order that you enter your answers matter so...
Please answer the blamnks.
Thank you.
(1 point) Use the Laplace transform to solve the following initial value problem: y6y9y 0,with y(0) 1, y (0) = -4 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)} find the equation you get by taking the Laplace transform of the differential equation =0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, A Y(s) (s+a} s+a Y(s) Now by inverting the transform,...
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