How To Solve Differential Equations | By direct Integration.

How To Solve #Differential #Equations | By direct Integration.

To solve a differential equation, we have to find the function for which the equation is true . This means that we have to manipulate the equation so as to eliminate all the derivatives and leave a relationship between y and x. The rest of this particular topic is devoted to the various methods of solving first order differential equations.

In this tutorial, we'll be dealing with differentiatial equations in the form of dy/dx = f(x), for which we can solve by direct Integration.

As we will see in this tutorial, the constant of Integration can not be determined unless further information about the function is given. Therefore the solution without the real value of C is called the general solution, and a Particular solution is obtained if the value of C is known.


If you find this video interesting, kindly subscribe to my channel for more exciting Maths tutorials.
#Simultaneous #linear #Equations

[YetiVA]

I thought this was gna be super hard but u taught this in 5 mins! Thanks!

[Khalifa-fundz]

This video just clarified my misconception about integration of partial derivatives

[HELENANIIBMIKANSUK]

Please can you do a tutorial on forming general solutions of a difference equation

[souravmajee]

sir, I
am from India, and your videos were very helpful for me

[georgesadler]

Professor Tambuwal, thank you for a great video /lecture on How to Solve Differential Equations by direction Integration, however you are missing a constant of Integration after you Integrate the function. This is the step before your final answer in each example. Please correct this error in the video.

[Kdd]

U are doing great mathematics, I am loving it 😀😊

[math-toss]

Thank you very much for this crucial work keep it up . May lord be with your steps

[jamilzahir]

Sir can you explain how to get the integral of (4-3x)^1/7

[windyzanele]

Thank you sir I hope to see more difficult example

[notloc]

I may be missing something but in your example at 3:54, shouldn’t the integral of 1/x be the natural log of the ABSOLUTE VALUE of x and not just x?

[flaring]

good video but not useful for year 2 A level maths;((((

[mr_sarkii]

For this last solution do we need to do this for y(0)=3?? Please

[bladergaming]

for a second i thought i was looking at chadwick boseman teaching math

[marvelinno-ekweariri]

I thought if you integrate a constant with respect to x, you'll get x?

[umarinusaomaki]

Udv/dx +Vdu/dx
Please help me proof it

[hafsatghana]

I have a question plss. Dy/dx=x2y. Can you pls help me