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3.If y (x) + py" (x) + qy" (x) +ry"(x) + sy"(x) + ky'(x) + dy(x) = f(x) where yı, 32, 33, 34 and ys are solutions of homogenous part, then obtain k₁, k2, k3, ka and k5 using variation of parameters methods where Yp(x) = k₁y₁+k2yY2+k3y3 + kaya+k5Y5

3.If y (x) + py" (x) + qy" (x) +ry"(x) + sy"(x) + ky'(x) + dy(x) = f(x) where yı, 32, 33, 34 and ys are solutions of homogenous part, then obtain k₁, k2, k3, ka and k5 using variation of parameters methods where Yp(x) = k₁y₁+k2yY2+k3y3 + kaya+k5Y5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3.If y (x) + py" (x) + qy" (x) + ry"(x) + sy"(x) + ky'(x) + dy(x) = f(x) where y₁, 92, 93, 94 and ys are solutions of homogenous part, then obtain k₁, k2, k3, k₁ and k5 using variation of parameters methods where Yp(x) = k1Y1 + k2Y2 + K3Y3+k₁Ys + K5Y5
Transcribed Image Text:3.If y (x) + py" (x) + qy" (x) + ry"(x) + sy"(x) + ky'(x) + dy(x) = f(x) where y₁, 92, 93, 94 and ys are solutions of homogenous part, then obtain k₁, k2, k3, k₁ and k5 using variation of parameters methods where Yp(x) = k1Y1 + k2Y2 + K3Y3+k₁Ys + K5Y5
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