1.

Form the differential equations corresponding to the family of curves. (i) y = c(x-2c) where c is a parameter. (ii) y= a cos 3x + b sin 3x where a, b are parameters. (iii) y = a cos x + b sin x where a, b are parameters. (iv) y = a e^(x) + b e^(-x) where a, b are parameters.

Answer»


ANSWER :(i) `y = xy_(1) - 2y_(1)^(2)` (II) `y_(2) + 9y = 0`
(iii) `y_(2) + y = 0` (iv) `y_(2) = y`


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