Q10 of 68 Page 902

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

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^{2 =} 4a(x + a) is a solution of the differential equation

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

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