IIT JAM Follow
May 10, 2020 11:28 am 30 pts
For a linear first order differential equations, how could we came to know by seeing the question whether it will a homogeneous equation or it will solve by multiplying I.F, etc. Because to check all the process it will take more time any tips for that type or questions. so that we can solve the problem within a few minutes.
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• Ruby negi
for homogeneous equation, degree of homogenity is same...
• Nilutpal bordoloi
Could you please provide me some examples of this topic. which are important for iit jam
• Dhairya sharma
ys dear , solve them too.
• Nilutpal bordoloi
We need to study first order higher degree for iit jam
• Chandra dhawan
see attached file it's very helpful for you
• Abhishek singh
as shown below, you can multiply both x and y by n, then try to take n common from both numerator and denominator, if you can do so, then it is homogeneous equation. best regards.
Nilutpal bordoloi
Actually I know the method...but by checking the equation by all methods it will take much time. so i need some tips so that by seeing the equation we can get the idea to solve
• Nilutpal bordoloi
If it is not homogeneous then we can find it by I.F or exact equation
• Dhairya sharma
like in this question all have power 1 of variable that mean it is homogeneous
• Dhairya sharma
the power of variable shows it it sum of all power are equal in step then that is homogeneous differential eqn. 