Verify that y = cx + 2c2 is a solution of the differential equation
The differential equation is and the function to be proven as the solution is
y = cx + 2c2, now we need to find the value of .
= c + 0
Putting the values,
2c2 + xc – cx – 2c2 = 0
As, L.H.S = R.H.S. the equation is satisfied, so hence this function is the solution of the differential equation.