Question

solve this question iam unable to solve it​

Answer 1

Step-by-step explanation:

Given :

∆ d^2y/dx^2 - 12 dy/dx + 35y =0

i.e ( D^2 - 12 D + 35 ) = 0

The auxiliary equation is :

==> m^2 - 12m + 35 = 0

==> m^2 -5m -7m + 35= 0

==> m(m-5) -7(m-5) = 0

==> (m-5) (m-7) =0

==> m = 5 or m = 7

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