Verify that y = is a solution of the differential equation (1 + x²) + (1 + y²) = 0.

Question

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

Philoid · Accepted Answer

Given

On differentiating with x, we get

Now let’s see what is the value of

= 0

Conclusion: Therefore, is the solution of

Verify that y = is a solution of the differential equation (1 + x2) + (1 + y2) = 0.