Tо аnаlyze а nоnlinear differential equatiоn, y ″ + sin ( y ) = 0 , {"version":"1.1","math":"(, y'' + sin(y) , = , 0, , )"}we set up a system of first order differential equations by letting y 1 = y {"version":"1.1","math":"(, y_1 = y, )"}and y 2 = y ′ . {"version":"1.1","math":"(, y_2 = y'. )"} y 1 ′ = y 2 y 2 ′ = − sin ( y 1 ) . {"version":"1.1","math":"begin{eqnarray*} y'_1 = y_2 qquadqquad y'_2 = - sin(y_1). end{eqnarray*}"}When we use the linearization to classify the system's critical points, find the statement which is WRONG for the linearization?
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