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The differential equation corresponding to the family of curves given by ` y = a + be^(2x) + ce^(-3x)` is

A

`y_3 - y_2 + 6y_1 = 0`

B

`y_3 + y_2 - 6y_1 = 0`

C

`y_3 + 6y_2 - y_1 = 0`

D

`y_3 + 6y_2 - y_1 =0`

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The correct Answer is:
B
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