Verify that y = is a solution of the differential equation (1 + x²) + (2x - 1) = 0

Question

Verify that y = is a solution of the differential equation (1 + x 2 ) + (2x - 1) = 0

Philoid · Accepted Answer

Given

On differentiating with x, we get

On differentiating again with x, we get

Now let’s see what is the value of

Conclusion: Therefore, is not the solution of

Verify that y = is a solution of the differential equation (1 + x2) + (2x - 1) = 0