Q3 of 68 Page 902

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

Given

On differentiating with x, we get

On differentiating again with x, we get

We want to find

= 0

Therefore, is the solution of

Conclusion: Therefore, is the solution of

Verify that y = e^x cos bx is a solution of the differential equation

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

Verify that y = (a + bx) e^2x is the general 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)