Q2 of 68 Page 902

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

Given

On differentiating with x, we get

On differentiating again with x, we get

Now let’s see what is the value of

This is not a solution

Conclusion: Therefore, y = e^x cos bx is not the solution of

Verify that x² = 2y²log y is a solution of the differential equation (x² + y²) - xy = 0.

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)

Questions · 68

18. Differential Equations and Their Formation

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Verify that y = ex cos bx is a solution of the differential equation