Solve the differential equation:

we have given a differential equation
![]()
It can be written as
![]()
![]()
Then,

Now, divide numerator and denominator by x2
….(i)
Let y = v x …(ii)
Differentiate equation (ii) w.r.t. x, we get
- - - (iii)
Now, Compare the equation (i) and (iii), we get

![]()
![]()
![]()
![]()
![]()
Now, shift the coefficient of dv and dx
![]()
![]()
![]()
Now, Integrate both sides ,
![]()
![]()
![]()
By log m - log n = log m/n
![]()
![]()
![]()
Putting the value of v =
from equation (ii)


![]()
Hence, This is the solution of the given differential equation
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.


