Question: Solve the following integral equation using a Laplace transform method: [ y(t)=sin t+int_{0}^{t} y(tau) sin (t-tau) d tau ]

Solve the following integral equation using a Laplace transform method:

\[
y(t)=\sin t+\int_{0}^{t} y(\tau) \sin (t-\tau) d \tau
\]

Step by Step Solution

★★★★★

3.47 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The Laplace transform is a powerful tool used to solve linear differential equations and integral eq... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Advanced Mathematics Questions!

Q:

What is the z-transform of the signal x(n)=nau(n)? az-1 (1-(az-)) O -1 az (1-az-) -1 az 1 (1 + az) (az)-1 (1-(az-))

Q:

Briefly describe how you attend to your health. (100 words)

Q:

1. THEORY: Scalar field (Definition, examples ). The 1" knd line integral ( properties, calculation, applications ). y sin' 4x dl where L: y= sin 4x, Task: Evaluate the integral i V1+16 cos? 4x 6. 2....

Q:

D [IRAR W 19-year-old student is offered an opportunity to invest some money in a retirement account that pays 10% annual interest compounded continuously. How much does the student need to invest...

Q:

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Find the volume of the solid that results from rotating the region bounded by y =...

Q:

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Q:

CAN YOU HELPP ME WITH MY HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 +...

Q:

CAN YOU HELPP ME WITH MY HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 +...

Q:

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2 - y^2 = 1 Find...

Q:

Answer the following Questions Question 1: A) Write the purpose of the DC machine frame Yoke (frame) B) Calculate the e.m.f generated for a DC generator, 6-pole Lap wound armature having 36 slots and...

Q:

1: Is this a customer service problem? Why or why not? 2: It appears that the factory distributors are exploiting the smaller dealers. Yet from what we can tell, Handy Andy in St. Louis has heard no...

Q:

Distinguish among different types of self-esteem.

Q:

Owners of a corporation are called shareholders because they hold shares of the corporations stock. The equity section of a corporations balance sheet is therefore labeled s _________ e ___ y.

Q:

The regions of + in a compound are the regions most likely to be attacked by an anion, such as hydroxide (HO - ). In the compound below, identify the two carbon atoms that are most likely to be...

Q:

Consider the three compounds shown below and then answer the questions that follow: a) Which two compounds are constitutional isomers? b) Which compound contains a nitrogen atom with trigonal...

Q:

Compound A is an alkene that was treated with ozone (followed by DMS) to yield only 4-heptanone. Identify the major product that is expected when compound A is treated with MCPBA followed by aqueous...

Q:

Complete the table to describe key provisions of legislation, covenant, standards and codes of oractice for Corborate Social Resoonsibilitv (CSR) as thev aoblv to human riahts

Q:

please use Java to finish this problem and write a test function to test it. thanks!!! Implement a class 'Car' with the following properties. A car has a certain fuel efficiency (measured in...

Q:

Newark company has provided the following information Case Sales $630,000 Credit Sales $1,530,000 Selling and Adminstrative expenses $510,000 Sales return and allowances $108,000 Gross profit...