6. Try again You have answered 1 out of 2 parts correctly. Consider the differential equation: 56x?y" – 16x(x + 7)y + 16(x + 7)y = 5x³, x > 0. You can verify that y1 = 2x and y2 = 5x exp(2x/7) satisfy the corresponding homogeneous equation. a. Compute the Wronskian W between Y1 and Y2. W (x) = 20 b. Apply variation of parameters to find a particular solution. Ур 3

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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6.
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You have answered 1 out of 2 parts correctly.
Consider the differential equation: 56x?y" – 16x(x + 7)y + 16(x + 7)y = 5x³,
x > 0.
You can verify that y1 = 2x and y2 =
5x exp(2x/7) satisfy the corresponding homogeneous equation.
a. Compute the Wronskian W between
Y1
and
Y2.
W (x) = 20
b. Apply variation of parameters to find a particular solution.
Ур
3
Transcribed Image Text:6. Try again You have answered 1 out of 2 parts correctly. Consider the differential equation: 56x?y" – 16x(x + 7)y + 16(x + 7)y = 5x³, x > 0. You can verify that y1 = 2x and y2 = 5x exp(2x/7) satisfy the corresponding homogeneous equation. a. Compute the Wronskian W between Y1 and Y2. W (x) = 20 b. Apply variation of parameters to find a particular solution. Ур 3
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