Question: Please answer this clearly 1. Find three functionally independent first integrals of the ordinary differential equa- tion 6y'y y using the symmetries generated by X1

Please answer this clearly

Please answer this clearly 1. Find three functionally independent first integrals of

1. Find three functionally independent first integrals of the ordinary differential equa- tion 6y'y" y using the symmetries generated by X1 = Or, X2 = y' dy, X3 = xy dy, X4 = xox - 2ydy. Use the first integrals to determine the general solution of the equation

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