Question: In the following problems, show that the given solutions are linearly independent by using the Wronskian. Then, find a particular solution satisfying the given initial


In the following problems, show that the given solutions are linearly independent by using the Wronskian. Then, find a particular solution satisfying the given initial conditions. 1. 31(3) + 2y" y' 2y = 0:y(0) = 1,y'(0) = 2.y"(0) = 0: 3a = e".yz = _x:y3 = 6'2" 2. ya) 5y" + By' 4y = 0; y(0) = 1.y'(0) = 4,y"(0) = 0: 3'1 = ex. 2 = Bud's = 9682"
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