Find the general solution of (x + 2y3)
given: ![]()
To find: solution of the given differential equation
Re-writing the equation as
![]()
![]()
![]()
It is a first order linear differential equation
Comparing it with ![]()
![]()
q(y)=2y2
Calculating integrating factor
![]()
![]()
Formula: ![]()
![]()
Formula: ![]()
![]()
Therefore, the solution of the differential equation is given by
![]()
![]()
Formula: ![]()
![]()
x3 = y3 + cy