By eliminating the arbitrary constants from y = a + b sin x + c - d e x + e + f , the differential equation obtained is of order

Step-by-step solution

y = a + b sin x + c - d e x + e + f Differentiating, we get d y d x = a + b cos x + c - d e x + e + f i.e. d y d x = a + b cos x + c + y - a + b sin x + c d y d x - y = a + b cos x + c - sin x + c Differentiating, we get d 2 y d x 2 - d y d x = - a + b sin x + c + cos x + c d 3 y d x 3 - d 2 y d x 2 = - a + b cos x + c - sin x + c i.e. d 3 y d x 3 - d 2 y d x 2 = - d y d x + y Hence, order of differential equation is 3