Q9 of 68 Page 902

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

Given,

On differentiating with x, we get

Now let’s see what is the value of

= 0

Conclusion: Therefore, is the solution of

Show that y = e^x(A cos x + B sin x) is the solution of the differential equation

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

Questions · 68

18. Differential Equations and Their Formation

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Verify that y2 = 4a(x + a) is a solution of the differential equation