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Solve the following initial value problem using the Laplace Transform: y" + 9y = 6 cos(3x)...
5. Use the Laplace transform to solve the following initial value problem: y" - 6y' +9y = 3e-21, y(0) = 1, y'(0) = -1.
QUESTION 3 Use Laplace Transform to solve the initial value problem y" + 9y = f(t) ,y(0) = 1, y'(0) = 3 where 6, f(t) 0 <t<nt i < t < 0
5. Use Laplace Transform to solve the initial value problem: y" + 6y' +9y = 4e, y(0) = 0, y'(0) = -1.
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 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...
8. Solve the initial value problem using the method of Laplace transforms. y" - 9y = S(1-3) y(0) = 0 y'(0) = 0 4
Use the Laplace transform to solve the initial value problem: y' + 4y = cos(2t), y(0) = 0, y'(0 = 1.
Solve the given initial value problem by undetermined coefficients (annihilator approach). el cos(3x) y(3) +9y' y(0) y'(0) = 2 - y"(0) = 1
Use the Laplace transform to solve the given initial-value problem. y" + y = 8(6 - ) + 8(t-?M), (O) = 0, 7(0) = 0 -cos(t) – Jault --) + ( -cos (1) x )ult- y(t) 7 2 7
Question 16 Use the Laplace transform to solve the initial-value problem [y, +5y, = 2 cos( 3 x), y(0)=-5] a) @ y(x) = 2 cos( 3x) +5e5 x 80 sx5 17 17 c) y(x) 2 cos(3 x) -5 90 sx 5 17 cos(3 x ) + sin (3 x ) None of the above.