Class notes
Class notes Physics A Course in Mathematical Analysis
- Course
- Institution
- Book
Providing in my depths,i recognise the script of mathematics and science
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
Mathematics is the language of patterns and relationships, guiding us to understand the world's structure through numbers, shapes, and logic.
-
Learn this not failed in math
-
Formulas hub
Seller
Follow
hari6
Content preview
Physics: Differential EquationsDefinition
A differential equation is an equation that relates a function with its
derivatives.
Types of Differential Equations
Ordinary Differential Equations (ODEs): ODEs involve only one independent
variable and its derivatives.
Partial Differential Equations (PDEs): PDEs involve more than one
independent variable and their partial derivatives.
Order of Differential Equations
The order of a differential equation is the highest order of the derivative that
appears in the equation.
Solving Differential Equations
There are various methods to solve differential equations, including:
Separation of Variables: This method is used when the equation can be
written in the form of dy/dx = f(x)g(y).
Integrating Factors: This method is used when the equation can be written in
the form of dy/dx + P(x)y = Q(x).
Power Series Solution: This method is used when the equation is too complex
to be solved by other methods.
Numerical Methods: These methods are used when an exact solution cannot
be found or is too difficult to obtain.
Applications of Differential Equations in Physics
Motion of Objects: Differential equations can be used to describe the motion
of objects, such as the position of an object as a function of time.
Electrical Circuits: Differential equations can be used to analyze electrical
circuits and determine the voltage and current as a function of time.
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 hari6. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
56326 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now