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12e'(1-6t) +2u,+ Su,- Consider the initial value problem: y" – 2y" – 5y' + 6y = 2e'(1- 6t), y(0) = 2, y'(0) = 7, y"(0) = 9 Let u, (t) = y(t), u2 (t) = y'(t), uz (t) = y"(t). The given IVP is equivalent to the system: U'(t) = F(t, U), U(0) = And: F(t.U()- 6t) + 2u, + Suz- 6u. None of the choices The above is correct F(t. U(C)) - F(t, u(t) - -6ul The above is correct The above is correct

12e'(1-6t) +2u,+ Su,- Consider the initial value problem: y" – 2y" – 5y' + 6y = 2e'(1- 6t), y(0) = 2, y'(0) = 7, y"(0) = 9 Let u, (t) = y(t), u2 (t) = y'(t), uz (t) = y"(t). The given IVP is equivalent to the system: U'(t) = F(t, U), U(0) = And: F(t.U()- 6t) + 2u, + Suz- 6u. None of the choices The above is correct F(t. U(C)) - F(t, u(t) - -6ul The above is correct The above is correct

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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12e'(1-6t)+2, + Su, -6. tt- 6t) + 2u, + 5uz - 6u,) Consider the initial value problem: y" – 2y" – 5y' + 6y = 2e'(1- 6t), y(0) = 2, y'(0) = 7,y"(0) = 9 Let u, (t) = y(t), u2 (t) = y'(t), uz (t) = y"(t). The given IVP is equivalent to the system: U'(t) = F(t, U), U(0) = And: F(t.U())- None of the choices The above is correct F(t. U()- F(t, u(e) -6ul The above is correct The above is correct
Transcribed Image Text:12e'(1-6t)+2, + Su, -6. tt- 6t) + 2u, + 5uz - 6u,) Consider the initial value problem: y" – 2y" – 5y' + 6y = 2e'(1- 6t), y(0) = 2, y'(0) = 7,y"(0) = 9 Let u, (t) = y(t), u2 (t) = y'(t), uz (t) = y"(t). The given IVP is equivalent to the system: U'(t) = F(t, U), U(0) = And: F(t.U())- None of the choices The above is correct F(t. U()- F(t, u(e) -6ul The above is correct The above is correct
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