Reduce-a-differential-equation-x-ax-bx-cx-0-where-a-b-c-are-constants-to-an-equivalent-system-of-first-order-equation-x-1-x-x-2-x-x-3-x-Thank-you-

Question Number 203568 by Mastermind last updated on 22/Jan/24

Reduce a differential equation

x^{^{‴}} + {ax}^{^{″}} + {bx}^{^{'}} + cx = 0 (where a, b, c are

constants) to an equivalent system of first

order equation .

x_{1} = x, x_{2} = x^{^{'}}, x_{3} = x^{^{″}}

Thank you