Table of Content

Differential equation

Differential equation can be defined as the finding out the differentiation of the mathematicsgiven equation. To find out the differential equation of the function we need to use differential equation formulas. There are two types of differentiation they are ordinary differentiation and partial differentiation. In ordinary differentiation we will differentiate the given function and all the variables with respect to one variable where as in partial differentiation, differentiation is done only with one variable.

Let us discuss some of the problems on differential equations.

Consider the first example to be: find out the differential equation of the given function y equal to x^2 + 2x + 3.

The given function is y equal to x^2 + 2x + 3. Now let us differentiate the given function with respect to x then we will get it as dy / dx equal to d / dx(x^2 + 2x + 3). If we simplify this then we will get it as dy / dx = d /dx (x^2) + d / dx(2x) + d / dx(3) now we know the formula that d / dx (x^n) equal ton x^(n – 1) and differentiation of constant is 0. Now substitute these formulas into the equation then we will get it as dy / dx = 2x + 2 (1) + 0 which is equal to 2x + 2. Now the required differential equation of the given function is dy / dx which is equal to 2x + 2.

Consider the second example to be: find out the differential equation of the function y equal to x^3 + 2x^2 + 4x + 6.

Now the given function is y equal to x^3 + 2x^2 + 4x + 6. Now differentiate the given equation with respect to x then we will get it as dy / dx equal to d / dx (x^3 + 2x^2 + 4x + 6) which is equal to dy / dx equal to d /dx (x^3) + d / dx (2x^2) + d / dx (4x) + d / dx (6). Now use the differentiation formula that is d / dx(x^n) is equal to n x^ (n – 1) and the differentiation of a constant is zero. Now we will get the required differentiation is dy / dx equal to 3 x^ (3 – 1) + 2 ( 2 x^ (2 – 1) ) + 4 (1) + 0. If we simplify this then we will get it as dy / dx equal to 3x^2 + 2( 2x) + 4. Now the required differential equation of the given function that is y which is equal tox^3 + 2x^2 + 4x + 6 is dy / dx which is equal to3x^2 + 4x + 4. This is how the different differential equations can be solved using the properties which re shown above. We should follow the same process as shown in the examples above. These properties helps in solving different types of differential equations.

Our Amazing Features

On Time Delivery
There is no deadline that can stop our writers from delivering quality assignments to the students.
Plagiarism Free Work
Get authentic and unique assignments by using our 100% plagiarism-free services.
24 X 7 Live Help
The experienced team of Live web tutors has got your back at all times of the day. Get connected with our customer support executives to receive instant and live solutions for your assignment problems.
Services For All Subjects
We can build quality assignments in the subjects you're passionate about. Be it Engineering and Literature or Law and Marketing we have an expert writer for all.
Best Price Guarantee
Get premium service at a pocket-friendly rate. At live web tutors, we understand the tight budget of students and thus offer our services at highly affordable prices.

FREE RESOURCES

FREE SAMPLE FILE

live review Our Mission Client Satisfaction

Kudos to the writers of your platform. There are several students like me who are juggling their jobs and education together and thus fail to write assignments on time. Thank you for helping me with such short notice.

08 Aug 2020

Angus
Your experts have a great understanding of complex networking concepts. Thanks for writing my programming assignment in great detail. I am glad I asked for your help.

08 Aug 2020

Caleb
I was hesitant to order my assignment online but when a friend recommended me to your platform my thoughts changed completely. Thank you for developing a great accounting paper.

08 Aug 2020

Marcus
Great work. I will definitely order another assignment from your platform. I am glad to receive your expert assistance with my finance assignment.

08 Aug 2020

Toby
Amazing customer service, timely delivery, professional experts, and affordable rates. What else could I ask for? Thank you for helping me with my physics assignment.

08 Aug 2020

Nathaniel

View All Review