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If you take the first equation and solve for x2 you obtain: x₂ = x₁x²₁ 2 Of course, the derivative of this is x'₁-x"₁ x 2 = 2 Substitute these into the second equation and simplify. ansform the system below into a single 2nd-order equation. Find x, and x₂ that satisfy the initial conditions. [x²₁ = x₁ = 2x₂ (x²₂ = 3x₁ = 4x₂ - x₁ (0) = -4 x₂(0) = 2

If you take the first equation and solve for x2 you obtain: x₂ = x₁x²₁ 2 Of course, the derivative of this is x'₁-x"₁ x 2 = 2 Substitute these into the second equation and simplify. ansform the system below into a single 2nd-order equation. Find x, and x₂ that satisfy the initial conditions. [x²₁ = x₁ = 2x₂ (x²₂ = 3x₁ = 4x₂ - x₁ (0) = -4 x₂(0) = 2

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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If you take the first equation and solve for x2 you obtain: x₁x²₁ 2 Of course, the derivative of this is x²₁ - x" ₁ 2 Substitute these into the second equation and simplify. x2 x²2 Transform the system below into a single 2nd-order equation. Find x, and x₂ that satisfy the initial conditions. Sx²₁ = x₁ = 2x₂ \x²₂ = 3x₁ = 4x₂ x₁ (0) = -4 x₂(0) = 2
Transcribed Image Text:If you take the first equation and solve for x2 you obtain: x₁x²₁ 2 Of course, the derivative of this is x²₁ - x" ₁ 2 Substitute these into the second equation and simplify. x2 x²2 Transform the system below into a single 2nd-order equation. Find x, and x₂ that satisfy the initial conditions. Sx²₁ = x₁ = 2x₂ \x²₂ = 3x₁ = 4x₂ x₁ (0) = -4 x₂(0) = 2
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