Logo
Home Study Material Contact Search
AI Chat FREE
  1. engineering
  2. electrical engineering
  3. given the complementary solution and the different

Given the complementary solution and the differential equation, Give the particular and the total solution for the...

70.2K

Verified Solution

Question

Electrical Engineering

Given thecomplementary solution and the differential equation, Give theparticular and the total solution for the initial conditions.

Use C1 and C2 for theweights, where C1 is associated with the root with smallermagnitude. If the roots are complex, the complementary solution isthe weighted sum of complex conjugate exponentials, which can bewritten as a constant times a decaying exponential times a cosinewith phase. Use C1 for the constant and Phi for the phase. (Note:Some equations in the text give the constant multiplying thedecaying exponential as 2C1. This was done for the derivation. Theconstant for this problem should be C1 alone.)

(basically anythingwith a sin function will be marked as wrong by me)

y(0)=7y'(0)=2   

Given the differentialequationy′′+8y′+25y=2cos(1t+1.0472)u(t).

Complementary:(e^(-4*t)*(C1*cos(3*t+Phi)))*u(t)

Answer & Explanation Solved by verified expert
4.1 Ratings (859 Votes)
NOTE    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Mechanical Engineering
1.2K views

A compressor, operating at steady-state, increases the pressure of an air stream from 1 bar to...

Basic Math
1.2K views

Write the basic feasible solution from the tableau given See Step 1 2 Z 007...

Basic Math
1.2K views

Let f(x) =8x-9 / 6 and g(x) = 6x+9/8(a) Find (fog)(x).(b) Find (gof)(x).(a) (fog)(x) =(b)...

Basic Math
1.2K views

The diagram shows ?ABC with all three medians drawn.If ?Z = 12 cm, find the...

Statistics
1.2K views

Hemoglobin Level ...

Statistics
1.2K views

97 12 alswered Question 1 MP A B 8 Male 5 Female 13 17 Giving...

Algebra
1.2K views

13 53 Construct a 2 x 2 matrix C such that AB AC but C...

Accounting
1.2K views

Record the entry to transfer net income or loss in Year 1 to retained earnings...

Accounting
1.2K views

The Equipment were at an actual cost of $398,959. The invoice was approved for payment.

Accounting
1.2K views

ABC Company paid total cash dividends of $45,000 in its first year of operation. ABC...

Accounting
1.2K views

Question 7 (2 points) Assets of a firm are financed with liabilities and stockholders' equity....

Finance
1.2K views

waring Bng is a Malaysian-based company that focuses on engineering services, property development, food, and...