Question: Show that the given function is a solution of the differential equation.y+25y =0, y = cos(5x)+5 sin(5x)y=Substitutingyandyinto the original equation gives+25(cos(5x)+5 sin(5x))=0.The solution checks

Show that the given function is a solution of the differential equation.y+25y =0, y = cos(5x)+5 sin(5x)y=Substitutingyandyinto the original equation gives+25(cos(5x)+5 sin(5x))=0.The solution checks

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