Q13 of 68 Page 902

Verify that y = e ^{- x} + Ax + B 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

= 1

Conclusion: Therefore, is the solution of

Verify that y = is a solution of the differential equation

Verify that y = e ^{- x} + Ax + B is a solution of the differential equation

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

Questions · 68

18. Differential Equations and Their Formation

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Verify that y = e - x + Ax + B is a solution of the differential equation