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Determine the values of r for which the given differential equation has solutions of the form y = tr

Determine the values of r for which the given differential equation has solutions of the form y = tr
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Determine the values of r for which the given differential equation has solutions of the form y = tr

User Mr Menezes
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8.1k points

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/ tr = t(1/1+1)r^(1+1) = t/2(r^2)

if (tr^2)/2 = 1

2 = tr^2

r^2 = 2/t

r = (√2/t) ...//
User Rashma
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