Interested to Buy Any Domain ? << Click Here >> for more details...
Question 55 - The differential equation is 3 dy / dt + 2y = 1 with y(0) = 1. (a) The Laplace transformation, L for given terms are : L (dy / dt) = sY(s) - y(0), L(y) = Y(s), L(1) = 1 / s. Use such transformation to find Y(s). (b) The initial value theorem states that : When t approaches 0 for a function of y(t), it is equal to a function of sY(s) when s approaches infinity. Use the initial value theorem as a check to the answer found in part (a).
- 1 Answers
- 2337 Views
- I also Faced
- E-Mail Answers
Answer Posted / kang chuen tat (malaysia - pen
Answer 55 - (a) For the equation 3 dy / dt + 2y = 1, its Laplace transformation is 3 [ sY(s) - y(0) ] + 2Y(s) = 1 / s, 3 (sY - 1) + 2Y = 1 / s, 3sY - 3 + 2Y = 1 / s, 3sY + 2Y = 1 / s + 3, Y (3s + 2) = (1 + 3s) / s. Y = Y(s) = (1 + 3s) / [ s (3s + 2) ]. (b) Initial value theorem states that y(0) = sY(infinity), then 1 = s (1 + 3s) / [ s (3s + 2) ] = (1 + 3s) / (3s + 2) approaches 1 when the value of s approaches infinity. The checking is correct. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
| Is This Answer Correct ? | 1 Yes | 0 No |
Post New Answer View All Answers
What are the frequently asked technical questions in chemical engineering during PI?
Explain how instrument air is continually supplied in process plant?
Cooling water line sizing ?
have any one question paper of institute of plasma research center for aptitute as well as technical?
Define "good" cooling tower water?
When using a pumping loop to mix two miscible fluids in a tank, when can the content are considered well mixed?
What is the easiest way to extract hydrogen from water and the safest way to store it?
Difference between Synthetic foaming agents V/S Protien based foaming agent?
What is a good source of surfactant information on the internet?
how can i prepare for gate chemical in kolkata
What are the problems that are associated with the expansion joints?
Explain how can viscosity affect the design of a mixer?
Explain about different types of lamps?
How is waste heat boilers categorized?
Jspl question paper for freshers requirements chemical engineering diploma
