Verify that y = sin 3t + 2 cos 3t is a solution to the initial value problem
Find the maximum of
solution : Step 1: In this problem, we have to verify that y = sin3t + 2cos3t is a solution to the initial value problem 2y + 18 y = 0; y(0) = 2, y(0) = 3.and we have to find the maximum of |(t) |or < t < . Step 2: We given, that y = sin3t + 2cos3t is a solution to the initial value problem 2y + 18 y = 0. We know that “every solution is satisfying own equation”. So, if y = sin3t + 2cos3t is a solution of the equation 2y + 18 y = 0, then the solution y = sin3t + 2cos3t must be satisfy the equation 2y + 18 y = 0.
Textbook: Fundamentals of Differential Equations
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. The answer to “Verify that y = sin 3t + 2 cos 3t is a solution to the initial value problem Find the maximum of” is broken down into a number of easy to follow steps, and 22 words. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. The full step-by-step solution to problem: 4E from chapter: 4.1 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. Since the solution to 4E from 4.1 chapter was answered, more than 295 students have viewed the full step-by-step answer. This full solution covers the following key subjects: cos, Find, initial, maximum, sin. This expansive textbook survival guide covers 67 chapters, and 2118 solutions.