A third order ODE:O must be linearhas 1 unique solutioncan be solved if it is homogeneoushas 3 termsO has 2 independent solutiondepends on the initial conditionsalways needs boundary conditionsO is homogeneousO needs always initial conditionsO need initial conditions and boundary conditionsO always accepts a constant as a solutionO is linearO has two complex conjugated and one real solutionO has 3 independent solutions

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Answered: A third order ODE: O must be linear has…

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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5. Elimination of first degree variable
Find the solutions ifk = for kx +y +kz Flyers X + + ky + z Z C # Kx +4 -1 = = K th
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Consider the following set. S = {(-4, −3, 6), (3, −2, 1), (9, 0, 0)} Solve for C1, C2, and C3 in the following equation. If a nontrivial solution exists, state it or state the general solution in terms of the parameter t. (If only the trivial solution exists, enter the trivial solution {C₁, C₂, C3} = {0, 0, 0}.) c₁(-4,-3, 6) + C₂(3, -2, 1) + c3(9, 0, 0) = (0, 0, 0) {C₁, C₂, C3} = { Determine whether the set S is linearly independent or linearly dependent. linearly independent linearly dependent
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pls include solution with let u & du.

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