ses ework Sets W-02-Soln-IVP HW-02-Soln-IVP: Problem 11 Problem 11 Settings des

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ses ework Sets W-02-Soln-IVP HW-02-Soln-IVP: Problem 11 Problem 11 Settings des Previous Problem Problem List Next Problem (1 point) Is the family of functions y sq e + c2xe2 a solution of the differential equation appropriate interval I of definition for the solution. 2-4+ 4y-M Assume an Problems You have only one attempt for credit. blem 1 Choose oblem 2 oblem 3 oblem 4 blem 5 blem 6 blem 7 oblem 8 oblem 9 oblem 10 oblem 11 oblem 12 oblem 13 oblem 14 oblerm 15 oblem 16 Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. roblem 17

Explanation / Answer

WE have a linear homogenous ode with constant coefficients

So solution is of the form y=exp(kx)

Substituting we get

k^2-4k+4=0

(k-2)^2=0

k=2

So we have repeated roots

In case of repeated roots

x exp(kx) and exp(kx) are both solutions

Hence, xexp(2x) and exp(2x) are both solutions.

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