we know y(x) = (3sin(3x) + cos(3x))/40 satisfies y'' + 4y' + 13y = cos(3x), why don't

Fantastic news! We've Found the answer you've been seeking!

Question:

we know y(x) = (3sin(3x) + cos(3x))/40 satisfies y'' + 4y' + 13y = cos(3x), why don't we just plug that into y'' + 4y' + 13y = 40cos(3x) to find the particular solution

Related Book For answer-question

Mathematical Applications for the Management Life and Social Sciences

ISBN: 978-1305108042

11th edition

Authors: Ronald J. Harshbarger, James J. Reynolds

See More Books

Posted Date: May 13, 2024 03:58 AM

See More Questions

In Exercises verify that the general solution satisfies the differential equation. Then find the particular solution that satisfies the initial condition(s). y = C sin 3x + C cos 3x y" + 9y = 0 y = 2...
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...
JinsAppliances has a return-on-assets (investment) ratio of 8 percent. a. If the debt-to-total-assets ratio is 40 percent, what is the return on equity? b. If the firm had no debt, what would the...
Maricopa Corporation is developing departmental overhead rates based on direct labor hours for its two production departmentsmolding and assembly. The molding department employs 20 people, and the...
3. (20 points) Consider a circular dart board with radius 1 that is inscribed in a square frame: (-1,1) (-1,-1) (1,1) (1,-1) Suppose you throw n independent darts at random into the square frame and...
Calculate the bank discount rate of return (DR) and the YTM-equivalent return for the following money market instruments: i. Purchase price, RM90; par value, RM200; maturity, 80 days. ii. Purchase...
How is the frequency equation derived for a multidegree-of-freedom system?
\(\mathrm{N}_{2}\) gas is confined in a cylinder of \(0.5 \mathrm{~m}\) diameter having a closely fitted frictionless piston. The weights of the piston and the block resting on it together equal...
What is a dynamical matrix? What is its use?
Richard was born on 5 April 1935. His wife, Patricia, was born on 7 October 1938. They were married in 1968. Their income for tax year 2023-24 is as follows: Calculate their income tax liabilities...
A manometer shows the reading as \(60 \mathrm{~cm}\) at \(30^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\). Determine the absolute pressure, given that \(ho_{\mathrm{Hg}}=14.02 \mathrm{~g} /...

we know y(x) = (3sin(3x) + cos(3x))/40 satisfies y'' + 4y' + 13y = cos(3x), why don't

Question:

Expert Answer:

To clarify this misunderstanding lets review the process of finding the particular solution to a non... View the full answer

Mathematical Applications for the Management Life and Social Sciences

Students also viewed these mathematics questions