So, 0St<4 6. Define f(t) = 34 Use the Laplace transform to solve th /' +...
10. Use the Laplace transform to solve y" - 3y' +2y f(t), y(0)-0,'(0) 0, where (t)-(0 for 0 st < 4; for t 2 4 No credit will be given for any other method. (10 marks)
Use the Laplace transform to solve the given initial-value problem. so, 0 <t< 1 y' + y = f(t), y(0) = 0, where f(t) 17, t21 y(t) = + ult-
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
Page 4 IV. (10) Use the Laplace transform to solve the IVP y" - 2y + y = f(t), y(0) = 1, 7(0) = 1, where t<3 f(t) = t-3, t3 You may use the partial fraction decomposition 70-28+1) -1,2 = (+*++* - , but you need to show all the steps needed to arrive to the expression (+28+1) in order to receive credit.
Find the Laplace transform F(s) - {0} of the function: f(t) = 1-21 0314 2-34 4 <t<6 14 6 by splitting the integral into three pieces. Enter your answers in order of increasing domain.
4. Use the Laplace transform to solve the initial value problem y" + y = f(1) = -2, ost<2 13t+4, 122 y(0) = 0, y'(0) = -1
2. Use the Laplace Transform to solve the initial value problem y"-3y'+2y=h(t), y(O)=0, y'(0)=0, where h (t) = { 0,0<t<4 2, t>4
Page 4 IV. Use the Laplace transform to solve the IVP y' - 2y + y = f(t), y(0) = 1, v/(0) = 1, where (10) 0, t <3 f(t) = t-3, 3 You may use the partial fraction decomposition 16–25+1) 5+(9–1 = (-) + ? + - , but you need to show all the steps needed to arrive to the expression - 022-28+1) in order to receive credit.
Differential Equations Please use the LaPlace Transform method USE LAPLACE TRANSFORM ME 7700 TO solve the following ... 2 ас 11 sint <0,05 (3) 3 -34 t e 3° +6° + 7, <0,05
Please show work! (1 point) Find the Laplace transform F(s) of f(t) { O, t<6 5 sin(at), 6<t<7 0, t> 7 F(8)