In 11–18, find a general solution to the differential equation.
Solution:Step 1In this problem we need to find a general solution to the given differential equation.Step 2Given : The auxiliary equation to find the complementary solution of the given differential equation is .To solve the auxiliary equation, we do as followsWe know that if the roots of the auxiliary equation has complex roots , then The general solution for the problem can be written as :Here the roots are with and therefore the solution for the problem is Step 3We will use the method of variation of parameters.Now we will find the particular solution for .Here we have and . Also we know...
Textbook: Fundamentals of Differential Equations
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
The answer to “In 11–18, find a general solution to the differential equation.” is broken down into a number of easy to follow steps, and 10 words. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since the solution to 17E from 4.6 chapter was answered, more than 237 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 17E from chapter: 4.6 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This full solution covers the following key subjects: Differential, equation, Find, general, solution. This expansive textbook survival guide covers 67 chapters, and 2118 solutions.