In 1–14, solve the given initial value problem using the method of Laplace transforms.
Solution Step 1In this question we have find solution of the given differential equation with the given initial values of the function , using the method of Laplace transform.Given differential equation is - 4y = 4t - 8e-2t Initial value of y at 0 is y(0)=0 and initial value of at 0 is (0)=5Applying the Laplace transform L on both sides of the differential equation we get ,[ ] - 4[y] = 4[t] - 8[e-2t ] ………………………………….(1)
Textbook: Fundamentals of Differential Equations
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. The full step-by-step solution to problem: 10E from chapter: 7.5 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. This full solution covers the following key subjects: given, initial, Laplace, method, transforms. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Since the solution to 10E from 7.5 chapter was answered, more than 282 students have viewed the full step-by-step answer. The answer to “In 1–14, solve the given initial value problem using the method of Laplace transforms.” is broken down into a number of easy to follow steps, and 14 words.