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This is about differential equations. Consider the equation for a damped oscillator with no external force....

This is about differential equations.

Consider the equation for a damped oscillator with no external force. Then the equation becomes my’’ +by’ + ky = 0. Show that if y(t) is a solution to this equation, then cy(t) is a solution for any constant c. Also show that if y1(t) and y2(t) are solutions to this equation then c1y1(t) + c2y2(t) is also a solution for any c1 and c2.

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