If ar2 + br + c = 0 has equal roots r1, show that L[ert] = a(ert)" + b(crt)' + cert = a(r - r1 )2er1. Since the right side of is
zero when r = r1, it follows that exp(r1,t) is a solution of L[y] = ay" + by' + cy = 0. Differentiate with respect to r and interchange differentiation with respect to r and with respect to t, thus showing that Since the right side of is zero when r = r1 conclude that t exp(r1 t) is also a solution of L[V] =0. Determine a suitable form of Y(t) if the method of undetermined coefficients is to be used. y" + 2y' + 5y = 3et-t cos2t - 2te-2t cost
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Solution:
As per the problem
Maxine took out a loan for $3200 at 8% interest, compounded annually.
she makes yearly payments of $250.
she will be able to Payoff her loan iff yearly payments made is greater than yearly interest.
Interest payable in first year
Interest payable in first year
This payable interest will goes on increasing year on year.
Hence Maxine will never payoff the loan.