UrbanPro
true

Ordinary & Partial Differential Equation

Raj Kumar
27/12/2017 0 0

Ordinary Differential Equation:

One depedent variable(Y) is dependent only on one independent variable(X).

Y is completely dependent on X.

Generally, Wife(Y) is completely dependent on Husband(X).

An ordinary differential equation (ODE) has only derivatives of one variable that is, it has no partial derivatives.

Here are a few examples of ODEs:

Three ordinary differential equations.

Y = f(X)

Partial Differential Equation:

One depedent variable(Y) is dependent at least two  variable(X) 

Generally WIfe & Childern & Grand pa/Ma is completely dependent on Father.

Wife, children & grand pa/ma are partially dependent on Father.

Y = F(X, Time, Temperature).

In contrast, a partial differential equation (PDE) has at least one partial derivative.

U = F(X, Y) U is partially dependent on X & Y.

V = f(X, T) U is partially dependent on X & T.

Here are a few examples of PDEs:

Several differential equations with at least one partial derivative

Industrial Example:

Mechanical property of Steel product = F(SoakingTime, Temperature, Phase transformation).

Mechanical property is partially dependent on soaking timransfore, temperature & phase transformation.

0 Dislike
Follow 2

Please Enter a comment

Submit

Other Lessons for You

Geometrical Transformation
Transformation is basically the "change of form" Etymology Trans = across, bayond + formare = to form These transformations fall into two categories: i. Rigid transformations that do not change the...

Coefficient of Variation
The coefficient of variation (CV) is a measure of relative variability. It is given by below formula C.V = (standard deviation/mean) * 100 It is used to compare the two processes in the manufacturing...

Cordinate Axis retangular to polar and polar to rectangular Conversion
The system of coordinates is known as the Cartesian System of Coordinates. It is so called because this system was first introduced by the philosopher Des Cartes. There are other systems of coordinates...

Relations & Type of Relation
Relation means in the real world how closely they know each other there are many types of relation Perfect positive relation -very Close Positive relation -Close to each-other Negative relation -Apart...

How Numeric Variable Relate To Qualitative Categories?
Let's look a bit more closely at the tools we can use for analyzing categorical survey data. Again, the diagram below shows the tools that are available to you and their objectives.

Looking to Learn?

Find best Tutors and Coaching Centers near you on UrbanPro.

FIND NOW

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Find Tutors, Trainers & Institutes near you

Post requirement and connect with the tutors in your locality

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Want to learn something New?

Find best tutors, trainers & institutes near you on UrbanPro

Post your learning requirement

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more