Summary

Summary Cheat sheet ENGR 213

200 views 3 purchases

Course
ENGR 213

Institution
Concordia University ( )

Book
Advanced Engineering Mathematics

Cheatsheet of these topics 1.1 Definition and Terminology 1.2 Initial Value Problems 2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations, integrating factors 2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution) 1.3 ...

[Show more]

Preview 3 out of 18 pages

View example

Summarized whole book? No
Which chapters are summarized? 1-3, 5, 10, 17
Uploaded on December 23, 2020
Number of pages 18
Written in 2020/2021
Type Summary

linear
nonlinear
differential
power
roots
homogeneous
differentialvariation
models
coefficients
integrating
factors
exact
separable

CA$30.27

Add to cart

Add to wishlist

100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached

Cheat Sheet
Table of Contents Top
First Order
Linear
Separation of Variables
Exact
Homogeneous Linear substitution)
Bernoulli
Separation of Variables
Mathematical Models
Radioactive Decay
Newton's Law of Cooling
Spread of Disease
Mixture
Tank Draining
Series Circuit
Falling Bodies
Falling Bodies and Air Resistance
Suspended Cables
Growth and Decay
Logistic Equation
Chemical Reactions
Second Order
Constant Coefficients
Case 1 Distinct Real Roots
Case 2 Repeated Real Roots
Case 3 Conjugate Complex Roots
Undetermined Coefficients
Variation of Parameters
Cauchy-Euler
Case 1 Distinct Real Roots
Case 2 Repeated Real Roots
Case 3 Conjugated Complex Roots
Non-Linear
Linear Models
Hooke's Law
Newton's Second Law
Free Undamped Motion
Double Spring System

Cheat Sheet 1

, Free Damped Motion
Case 1 Overdamped
Case 2 Critically damped
Case 3 Underdamped
Alternative Form of x(t)
Differential Equation of Driven Motion With Damping
LRCSeries Circuit
Kirchhoff's Second Law
Non-Linear Models
Springs
Hard and Soft Springs
Nonlinear Pendulum
Telephone Wires
Rocket Motion
Variable Mass
Power Series
Linear Systems
Matrix Form of a Linear System
Superposition Principle
General Solution - Homogeneous Systems
General Solution - Nonhomogeneous Systems
Eigenvalues and Eigenvectors
Distinct Real Eigenvalues
Repeated Eigenvalues
Multiplicity Two
Multiplicity Three
Complex Eigenvalues
Undetermined Coefficients
Variation of Parameters

First Order
Linear
dy
+ P (t)y = g(t)
dx
μ(t) = e∫ (p(t)dt
μ(t)P (t) = ∫ μ(t)g(t)dt

Cheat Sheet 2

, Separation of Variables
dy
= g(x)h(y)
dx
dy
p(y) = g(x)
dx
∫ p(y)dy = ∫ g(x)dx

Exact
M(x, y)dx + N(x, y)dy = 0
∂M ∂N
=
∂y ∂x
∂f ∂F
M(x, y) = , N(x, y) =
∂x ∂y
∂f ∂
= ∫ M(x, y)dx + g′ (y) = N(x, y)
∂y ∂y
∂
g′ (y) = N(x, y) − ∫ M(x, y)dx
∂y

∂ ∂
[N(x, y) − ∫ M(x, y)dx]
∂x ∂y
∂N ∂ ∂
− ( ∫ M(x, y)dx)
∂x ∂y ∂x
∂N ∂M
= =0
∂x ∂y

f(x, y) = ∫ N(x, y)dy + h(x)
∂
h′ (x) = M(x, y) − ∫ N(x, y)dy
∂x

Non-exact differential equations

μ(x, y)
μ(x, y)M(x, y)dx + μ(x, y)N(x, y)dy = 0
M y −Nx
μ(x) = e∫ N
dx
Nx −M y
μ(x) = e∫ M
dy

Cheat Sheet 3

The benefits of buying summaries with Stuvia:

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

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

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 chloelaw. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$30.27. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

52928 documents were sold in the last 30 days

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

Start selling

Summary

Summary Cheat sheet ENGR 213

Document information

Subjects

Connected book

More summaries for

Written for

Seller

Content preview