12. Find the Wronskian of two solutions of the given differential equation without solving the equation...

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12. Find the Wronskian of two solutions of the given differential equation without solving the equation (a) ty" (t) – t(t + 2)y'(t) + (t + 2)y(t) = 0 (b) (cos t)y"(t)+ (sin t)y'(t)- ty(t) = 0 (c) ty"(t) + ty'(t) + (t² – v²) y(t) = 0 (Bessel's equation) (d) (1- t)y"(t) - 2ty'(t) + a(a +1)y(t) =0 (Legendre's equation) %3D 12. Find the Wronskian of two solutions of the given differential equation without solving the equation (a) ty" (t) – t(t + 2)y'(t) + (t + 2)y(t) = 0 (b) (cos t)y"(t)+ (sin t)y'(t)- ty(t) = 0 (c) ty"(t) + ty'(t) + (t² – v²) y(t) = 0 (Bessel's equation) (d) (1- t)y"(t) - 2ty'(t) + a(a +1)y(t) =0 (Legendre's equation) %3D