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Q22E

Expert-verifiedFound in: Page 332

Book edition
9th

Author(s)
R. Kent Nagle, Edward B. Saff, Arthur David Snider

Pages
616 pages

ISBN
9780321977069

**Find a general solution for the given linear system using the elimination method of Section 5.2.**

$\begin{array}{l}\frac{{d}^{2}x}{d{t}^{2}}-x+5y=0\\ 2x+\frac{{d}^{2}y}{d{t}^{2}}+2y=0\end{array}$

_{$y\left(t\right)={c}_{1}\mathrm{cos}\left(2x\right)+{c}_{2}\mathrm{sin}\left(2x\right)$The solution is }_{}

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

We will do the following question on the basis of solving linear system using the elimination method;

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