Question: Need Help explaining these step by step. Thanks. Introduction to SecondOrder DDE'H Using an educated guess approach, come up with solutions to the following DDE's.

Need Help explaining these step by step. Thanks.

Need Help explaining these step by step. Thanks. Introduction to SecondOrder DDE'HUsing an \"educated guess" approach, come up with solutions to the followingDDE's. Remember that every homogeneous secondorder ODE has two solutions! 1|Write the

Introduction to SecondOrder DDE'H Using an \"educated guess" approach, come up with solutions to the following DDE's. Remember that every homogeneous secondorder ODE has two solutions! 1|Write the general solution by using the Superposition Theorem to combine them. I. y" + 23! : I] 2. y" = 63: 3. y" '3 = I] (this one 1will only have one solution] 4. 2].!" By 2 I] 5. Ely" + 23: : I] SOLUTIONS: 1. y = k, sin(V2t) + k2 cos(V/2t) 2. y= kevot + K,e-vet 3. y = 4.5tz + c 4. y"- 4y= 0-y=ke"+ ke-2t5. y"+. V =0 av=k, sin NIH t + K2 COS NIK t

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