I thought the first empty box would be sY + 8 - 1/4Y, but it says I am incorrect. It is also not Y(s-1/4) either that is incorrect.
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Use the Laplace Transform method to solve the IVP y" - 8y + 16y = t4 y(0) = 1,5(0) - 4. Show all your work Note: A partial fraction decomposition will not be needed here if you carefully solve for Y(s) = {y}(s), by first moving the expression of the form -as - b with a and b positive integers to the right hand side and then dividing both sides of the equation by the coefficient of Y() which will...
I need help with this question of Differential Equation. Thanks Find the Laplace transform Y(s) = [{y} of the solution of the given initial value problem. 1, 0 <t <t y" + 4y = to, a st<co y(0) = 8, y'(0) = 7
I need help with this question of Differential Equation. Thanks Find the Laplace transform Y(s) = [{y} of the solution of the given initial value problem. 1, 0 <t <t y" + 4y = to, a st<co y(0) = 8, y'(0) = 7
I need help with d and h. Thank you. 24.1. Find the Laplace transform Y(s) of the solution to each of the following initial-value problems. Just find Y (s) using the ideas illustrated in examples 24.1 and 24.2. Do NOT solve the problem using methods developed before we started discussing Laplace transforms and then computing the transform! Also, do not attempt to recover y(t) from each Y(s) you obtain. Yle y' + 4y = 0, with y(0) = 3 Y...
If Laplace transform method is used to solve the IVP: y"(t) - 4 y'(t) + 4y(t) = 4 cos2t, yO)= 2; y'(O)=5 then the solution is: Select one: y(t) = e2t + sin2t - cos2t y(t)=2e2t + 2te2t_ 1 sin2t y(t) = 2te + cos2t - sin2t
Find the Laplace transform Y (8) = L {y} of the solution of the given initial value problem. St, 0<t<1 y" + 4y = {i;isica , y0 = 8, Y' (0) = 6 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Y (3) = QE
Page 2 II. (7) Use the Laplace Transform method to solve the IVP y' - 8y + 16y = 14 y(0) = 1,5/(0) = 4 Show all your work. Note: A partial fraction decomposition will not be needed here if you carefully solve for Y (s) = {y}(s), by first moving the expression of the form -as - b with a and b positive integers to the right hand side and then dividing both sides of the equation by the...
Find the solution of the following Initial Value Problem by using the Laplace Transform. In your answers, always write y(t) or Y(s), not just y or Y. If you need a Heaviside function, write U(t). y"(t) – 8 y'(t) + 32 y(t) = S(t-1) y(0) = 4 y'(0) = 3 ty(t) = Y(s) Ay'(t) = sY(s) – 4 Ay"(t) = 32Y(s) – 45 – 3 (s2 - 8 5 + 32) Y(s) = Y(s) = F(s) + G(s) e-s G(s)...
Some the following DE's using Laplace Transform. 1) <3> y - 2 y = a* (0) = | (<4> Y" + 4y' + 4y = 0; Y(0) = 2 ; Y6u =-| - <s> Y" + 4y = f coszt, y(o)= 0; y(o)=4
Page 2 T Use the Laplace Transform method to solve the IVP 1-8y + 16y-te (0) = 1,0) = 4 Show all your work. Note: A partial fraction decomposition will not be needed here if you carefully solve for Y(s) = {v}(s), by first moving the expression of the form -as -b with a and b positive integers to the right hand side and then dividing both sides of the equation by the coefficient of Y(8) which will be of...