4. Consider the system First verify that 7(¹) = (₂ 2 -5 *= (²) * 7. -2 1) 5 cos (t) 2 cos(t) + sin(t) and 코() = ( 5 sin(

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4. Consider the system First verify that 7(¹) = (₂ 2 -5 *= (²) * 7. -2 1) 5 cos (t) 2 cos(t) + sin(t) and 코() = ( 5 sin(t) 2 sin(t) - cos(t) ›) 70 = ( ₂ ). 2 are solutions of the system. Then (a) find the Wronskian W(t) = W[7(¹), 7(2)](t); (b) show that (¹) and 7(2) form a fundamental set of solutions of the system; (c) find a solution of the system that satisfies the initial condition