What will be the matrix A if I want to express the following differential equation in the form Ay=0? $\frac{d^2y}{dx^2}+y=0$
2026-05-05 11:17:22.1777979842
Linear Algebra and differential equation
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Introduce an auxiliary function $u=y'$. You can then rewrite the second-order equation as the first-order system $$u'=-y \\ y'=u.$$ I hope that you know how to construct the matrix form of this system.