Question: Consider the ODE y - 4y = sin 2t. [ 6 points] (a) Find a particular solution to above ODE using method of Undetermined Coefficients.

Consider the ODE y" - 4y = sin 2t. [ 6 points] (a) Find a particular solution to above ODE using method of Undetermined Coefficients. [2 points] (b) Is this differential equation is modeling a spring system?If yes, what is the natural frequency of the system? [1 points] (c) If this differential equation is modeling a ball falling under gravity, what is the drag coefficient? TABLE 3.5.1 The Particular Solution of ay" + by' + cy = gi(t) git) Y:(1) Pn(t) = dot" +a ~ + ... + an +(Aof " + A(- + ...+ A,) Prbeat "( A of " + Am - 1 + ... + An)eat sin Bt cos Bt "((Aof" + At - 1 + ... + An)ell cos( BI) + (Born + By" - + ... + B, Jet sin(Bi)

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