Question
Asked Jun 20, 2019
23 views

Solve the initial value problem using the method of undetermined coefficients.

y"+4y'+4y=(3+x)e-2x, y(0)=2, y'(0)=5

check_circle

Expert Answer

Step 1

Consider the given initial value problem:

y"+4y4y(3 x)e*
y(0)2. y'(0) 5
help_outline

Image Transcriptionclose

y"+4y4y(3 x)e* y(0)2. y'(0) 5

fullscreen
Step 2

First we will find the solution corresponding to the homogenous equation:

y’’+4y’+4y=0

corresponding auxillary equation is:

2+4 +4 0
(r2) = 0
r -2-2
help_outline

Image Transcriptionclose

2+4 +4 0 (r2) = 0 r -2-2

fullscreen
Step 3

Thus, homogenous s...

-2х
У, 3 (q +сх)е*
help_outline

Image Transcriptionclose

-2х У, 3 (q +сх)е*

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: (The party problem). Prove the following: At a party of six people there must exist either three peo...

A: The above problem is known as Friendship Theorem and is an example of a Ramsey theory.              ...

question_answer

Q: Abstract Algebra. Answer in detail please.

A: To prove the statements about the given field extensions, (two quadratic and one 4th degree over Q)

question_answer

Q: 6. A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and h...

A: There are 7 types of croissants. 

question_answer

Q: Section 1.2 Chapter 1 0.625 0.625 -RO. I 25 0.625 0.625- 0.625 15. A manufacturer must describe a di...

A: In the given diagram of CNC, the x-coordinate and the y-coordinate are the horizontal and vertical d...

question_answer

Q: DIFFERENTIAL EQUATIONS Refer to the given 3x3 coefficient matrix with initial conditions (see attach...

A: To solve we have to find eigen vectors for this we have to find eigen values.To find eigen values,Ta...

question_answer

Q: (b) After realizing the system did not produce the desired output, he decided f its components and p...

A: Let the differential equations be

question_answer

Q: Show that the field R(i) as a vector space over R has a basis { 1 , i } and is isomorphic to  R_2, w...

A: The field ℝ (i) is defined as ℝ (i) = {a + bi| a, b ϵ ℝ}.That implies, ℝ (i) = {a × 1+ b × i | a, b ...

question_answer

Q: Pls explain to me step by stepThanks

A: The given matrix is 

question_answer

Q: 1. How many bitstrings of length 10 are there: a. with no restrictions? b. start with 11 or end with...

A: (i) The number of bitstrings of length 10 that can be obtained when no restriction is laid.Since eac...