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.


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