Answer :
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
Rate this question :








Solve the differential equation :
(tan-1y – x)dy = (1 + y2)dx.
OR
Find the particular solution of the differential equation given that y = 1, when x = 0.
Solve the following differential equation:
Find the particular solution of the differential equation given that
when
Show that the differential equation (x ey/x + y)dx = xdy is homogeneous. Find the particular solution of this differential equation, given that x = 1 when y = 1.
Mathematics - Board PapersSolve the differential equation:
given that
when
Find the particular solution of the following differential equation. given that when x = 2, y = π