Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Find the general solution of the ODE below. 2z y'" – 4y' + 4y = e" arcta y(x) =

Find the general solution of the ODE below. 2z y'" – 4y' + 4y = e" arcta y(x) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
See similar textbooks
icon
Related questions
Question
Find the general solution of the ODE below. y" – 4y' + 4y = e2" arctan(x) y(x) = Write your answer in the form y(x) = Ae + Brea" + Yp(x)
Transcribed Image Text:Find the general solution of the ODE below. y" – 4y' + 4y = e2" arctan(x) y(x) = Write your answer in the form y(x) = Ae + Brea" + Yp(x)
Expert Solution
Step 1

Introduction:

If a second-order homogeneous differential equation has two equal real roots, then the general solution to this differential equation is given by,

y=(A+Bx)eax, where a is the real root.

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer