Hello Nirmal,

(2x+4y-6)dy=(2x-5y +3)dx

This is a very common type of  question that usually comes in the exams . This question is probably from the chapter of Differential Equations. As you understand that it is not that easy to solve the entire question here in the chat box so I have found an online solution of the equation that would help you.

Here's the link that will take you to the solution :-

https://math.stackexchange.com/questions/2001575/2x-5y3dx-2x4y-6dy/2001597#2001597

I hope it helped.

All the best.