Mathematics, 19.02.2021 03:10 81074

$x=c_{1} cos(t) +c_{2} sin(t)$ is a two-parameter family of solutions of the second-order DE
.

Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.

x''+ x = 0

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is a two-parameter family of solutions of the second-order DE

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is a two-parameter family of solutions of the second-order DE . Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.

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$x=c_{1} cos(t) +c_{2} sin(t)$ is a two-parameter family of solutions of the second-order DE
.

Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.