Test that the function y = x2 + 2x +C is the solution of the differential equation y'- 2x -2 = 0- |
yes no may or may not be none of these |
yes |
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. |