100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Transforms Chapter 1 £2.37   Add to cart
Quickly navigate to
Preview
  2.  
  3. University Of The Witwatersrand (wits)
  4.  
  5. Mathematics II (MATH2014)

Study guide

Transforms Chapter 1
 28 views  0 purchase
  • Module
  • Mathematics II (MATH2014)
  • Institution
  • University Of The Witwatersrand (wits)

This chapter includes notes on Laplace Transforms, Inverse Laplace Transforms and solving Differential Equations using Laplace. Each section includes multiple worked examples. Notes were taken on an iPad

Last document update: 5 year ago

Preview 4 out of 42  pages

Document information

  • August 18, 2019
  • August 20, 2019
  • 42
  • 2018/2019
  • Study guide

Subjects

  • maths
  • mathematics
  • engineering
  • laplace
  • laplace transforms
  • transforms

Written for

  • University of the Witwatersrand (wits)
  • Mathematics II (MATH2014)
All documents for this subject (22)

Seller

avatar-seller
romario25

Reviews received

Content preview

LAPLACE
TRANSFORMS

CHAPTER I

, ↳ Used
to safe differential equations when 1st
year
methods and D -




operator methods fail .




PROCESS ( basic ) :




[ Diffwennntneigeeafquoteign
) I
Algebra
,
igeayahiau ]

L
I tf
[
-




solution gets
] C
K
'←E
inverse Laplace )
( Solve above ]


.
Make t →
s
assuming t④ always
•
The laplace transform of a function is defined as an
"




Integral
"



Improper .

, -1mA
{ .

Improper Integral }
Integral is
infinitely tall integral is infinitely wide
→ →




asymptote)
an




( onieaamit )
.




%
g.
f. Kyat 4µm
ftp.tdt#....
e. "
9.

0 2


vertical asymptote at * =o




=p .
tadt

COMBINATION




Kim
"
fsteyttttdt

, Examples :

-

.



Evaluate
fgitdt
T




ftp.f.etat
=
*
cnhoafafsien




ftp.fe.tt
=




.




ftp.fet H )]
=
-




=
1


Evaluate
f.lttfdt aluatefttttsdt
laimoflattttdt
=




ifdsnafstttydt
=akm.o[ ztty ;
[ ]I
's
[
za
] entti
=

2
=



hang fins
-




. .




]
o

.a[enH
2
-

=
-




o
-




njm
-




=
2

&

diverges
=




test
integral
*
Same as




.

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller romario25. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for £2.37. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

76747 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now

Start selling
£2.37
  • (0)
  Add to cart