Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two springs, one of which is attached to the wall, as shown in the figure. Let x1 and x2 be the displacement of the first and second masses from their equilibrium positions. Suppose the masses are m1=10kg and m2=5kg, and the spring constants are k1=320 N/m and k2=160 N/m.   Set up a system of second-order differential equations that models this situation.        Find the general solution to this system of differential equations. Use a1, a2, b1, b2 to denote arbitrary constants.

 Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two springs, one of which is attached to the wall, as shown in the figure. Let x1 and x2 be the displacement of the first and second masses from their equilibrium positions. Suppose the masses are m1=10kg and m2=5kg, and the spring constants are k1=320 N/m and k2=160 N/m.   Set up a system of second-order differential equations that models this situation.        Find the general solution to this system of differential equations. Use a1, a2, b1, b2 to denote arbitrary constants.