Test that the function y = x2 + 2x +C is the solution of the differential equation y'- 2x -2 = 0-
Answer & explanation
Correct answer: option 1
we have y = x2 + 2x +C
differentiating both side with respect to x, we get:
y' = 2x + 2
substituting the value of y' in the given differential equation , we get:
L.H.S. = y' -2x -2 = 2x+2 -2x -2= 0= R.H.S.
Hence, the given function is the solution of the given differential equation.