Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. suppose y1 = -6e3t - 6t2 and y2 = 4e-2t - 6t2 are

Suppose y1 = -6e3t - 6t2 and y2 = 4e-2t - 6t2 are both solutions of a...

80.2K

Verified Solution

Question

Advance Math

Suppose y1 = -6e3t - 6t2 andy2 = 4e-2t - 6t2 are bothsolutions of a certain nonhomogeneous equation: y'' + by' + cy =g(t).

a. Is y = 12e3t - 4e-2t + 6t2also a solution of the equation?

b. Is y = -6t2 also a solution of the equation?

c. Could any constant function y = c also be a solution? If so,find all possible c.

d. What is the general solution of the equation?

e. Determine the coefficients b, c, and g(t) in the equationabove.

Answer & Explanation Solved by verified expert
4.4 Ratings (679 Votes)
    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

Accounting
1.2K views

Following are two income statements for Alexis Co. for the year ended December 31. The left...

Statistics
1.2K views

If a symmetric coin is tossed 100 times, by using normal approximation find the probability that: a....

Chemistry
1.2K views

Here are four problems (5 pts each) involving the calculation of DG°' for metabolic reactions we...

Physics
1.2K views

Two solid spheres are running down from incline of height 3.7 m. Sphere A has mass...

Physics
1.2K views

Curve representing path of the object 18 If v and a represent velocity and acceleration...

Physics
1.2K views

A ray of light travelling parallel to diameter of a sphere enters the sphere through...

Statistics
1.2K views

Sleep apnea Sleep apnea is a disorder in which there are pauses in breathing during...

Calculus
1.2K views

Use DeMoivre s Theorem to find the indicated power Write the answer in rectangular form...

Calculus
1.2K views

12 Evaluate the following definite integral Note Need the exact answer not a decimal approximation...

Accounting
1.2K views

Hi-Tek Manufacturing, Inc, makes two types of Industrial component parts--the B300 and the T500. An...

Finance
1.2K views

Intro The quoted interest rate is 7.8% (APR with quarterly compounding). Part 1 What is...

Accounting
1.2K views

Just Dew it Corporation reports the following balance sheet information for 2020 and 2021. Net...