Q15 of 68 Page 902

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

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 Ax² + By² = 1 is a solution of the differential equation

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

Verify that y = log (x + satisfies the differential equation.

Questions · 68

18. Differential Equations and Their Formation

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