y" – 5y' + 6y = 2e (3) %3D | Now we want to compare Undetermined Coefficient Method with Varia- (b) tion of Parameter Method. Use the information you already obtained in the previous step, solve (3)...


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Extracted text: y" – 5y' + 6y = 2e (3) %3D | Now we want to compare Undetermined Coefficient Method with Varia- (b) tion of Parameter Method. Use the information you already obtained in the previous step, solve (3) by variation of parameters. However, do not use the formula directly. Read and mimic steps from eq. (6) to (10) in your textbook on page 161, repeat the process by yourself. Namely, rephrase and apply eq.(6) to (10) to your considered question. y" + P(æ)y' + Q(xæ)y= f(x) (6) Yp (x) = u1 (x)y1 (x) + uz (x)y2 (x) (7) =yn u + y2u] + P[y1u{ +Y2u½] + ¥{ ui + ½u½ = f(x). (8) W1 Y2 f (x) W2 Yı f(x) and u (9) W W W W Yı Y2 Y2 Y1 W2 = | ½ f(x) W : (10) W1 |f(x) Y½

Jun 04, 2022
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