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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. |
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Answer» (iii) `y_(2) + y = 0` (iv) `y_(2) = y` |
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