Laplace Transforms - Coursework Example

Only on StudentShare

Extract of sample
Laplace Transforms

Many Engineering applications which are not solvable using ordinary differential equations can be solved by Laplace transforms provided the Laplace transforms exist. The Laplace transforms seek the exponential order to exist. Many real life Engineering applications can be brought into the purview of exponential order and also it insists the derivative to exist and piecewise continuity must be present. The foremost advantage of Laplace transforms is it converts difficult differential and integral equations to simple algebraic equations which is easily solvable rather than the original differential/integral equations. It can be used in electrical circuit theory to know the original current passing through a circuit for a given electromotive force, inductance, resistance and capacitance. It is used in vibration theory because it resolves function into moments. It is used to find the bending moment of any RC column in Civil Engineering applications. In circuit theory it is more used. In harmonic oscillators, optical devices also Laplace transforms are used. In spring vibrations relating to Mechanical Engineering problems it is much used. In chemical reactions involving differential equations, Laplace transforms are used. Because of the nature of converting from time domain to frequency domain it is used in Biological (genetical) and stochastic applications. It is widely used in Engineering since many Engineering problems involve the complex differential and the integral equations. ...
Download paper

Summary

In the paper “Laplace Transforms” the author analyzes Laplace transforms as an integral transforms used to transform a real valued variable t (t≥0) into a complex valued phenomenon s. Laplace transforms are used to solve many complicated differential equations which otherwise are difficult to solve.

Related Essays

Regulated Power Supply
So what is a power supply? In the days before complicated ICs and complicated digital electronics, a simple power supply was composed of a transformer and a rectifier circuit. The transformer is where alternating current or AC voltage enters. AC voltage comes from the normal voltage from the electrical outlet at home. It carries with it alternating current and has to be transformed and rectified into direct current (DC) so that it can power up the electrical appliance. It has an input and an output. The output is the desired DC voltage for an electronic circuit which depends whether it is 6...
12 pages (3012 words) Coursework
Mudarabah in Islamic Banking
It is the means by which bonding is done between two participants such that one of them is the financer and the other is the manager or the mudharib. While the investor or the RabbulMal is responsible for any losses made in the transaction the Mudharib suffers only the loss of the efforts put by him. The bank often acts as the Rabbul Mal or the capital provider who provides capital to the entrepreneur. The funds provided by the bank can be used by the entrepreneur upon his discretion. The profit attained by using rabbul mal’s funds would be divided amongst the investor and the user with...
3 pages (753 words) Admission/Application Essay
Finance and Accounting
It transforms how trade acquisitions are carried out and accounted for, and it also impacts economic statements from the date of completion of the acquisition. It further influences the yearly goodwill impairment test connected with acquisitions that closes both before and after the efficient date of this standard. A non controlling interest is the part of equity in a supplementary not attributable, indirectly or directly, to a parent company. The main objective of this statement is to recover the relevance, transparency, and comparability of the monetary information that a reporting unit...
4 pages (1004 words) Coursework
Money & Banking - economics 321
It is in these circumstances wherein the so-called boom emerges. This boom in the financial sector as most crises have demonstrated is typified by a fragility that made much worse by credit and speculation. According to Kindleberger, this leads to a series of events such as how price increases leads to a rush for investment as profit opportunities loom large. This is an event that feeds upon itself: the opportunities that promise profit would bring in a new wave of investors and that the positive feedback that is perceived in the process and the outpour of investment increases further profit,...
2 pages (502 words) Coursework
Mudarabah in islamic banking
The bank often acts as the Rabbul Mal or the capital provider who provides capital to the entrepreneur. The funds provided by the bank can be used by the entrepreneur upon his discretion. The profit attained by using rabbul mal’s funds would be divided amongst the investor and the user with respect to a pre-decided profit sharing agreement. While the bank provides the investment, the entrepreneur is responsible for all the skill and the expertise incorporated within the project. The part of profit that is attained by the bank becomes his right only by virtue of the fact that he is the sole...
3 pages (753 words) Admission/Application Essay
essay questions
Despite their high risks during low returning periods, stocks still are preferred to bonds, which have a lower risk value due to their long run tremendous added value. There is no comparative comparison of returns between stocks and bonds as returns from stocks outperform those of bonds with significant percentages. This has been proven from studies conducted over a long period of time (Sorkhou 53).
...
3 pages (753 words) Essay
A Problem in the Field of Finance
The accounting professionals consider it routine when they have to tell a lie or rip anyone off from their lives’ earnings.
...
4 pages (1004 words) Article
Got a tricky question? Receive an answer from students like you! Try us!