The operators L and M are defined by Find expressions for the operators LM and ML Under what conditions on f 1 , g 1 , f 2 and g 2 is LM ML What conditions do you think linear differential operators must satisfy in order to be commutative and L f(0) dt g, (t) M f(1) 8(1)

Question: The operators L and M are defined by Find expressions for the operators LM and ML. Under what conditions on f 1 , g 1

The operators L and M are defined by

and L = f(0) + dt + g, (t) M = (1) + 8(1)

Find expressions for the operators LM and ML. Under what conditions on f₁, g₁, f₂ and g₂ is LM = ML? What conditions do you think linear differential operators must satisfy in order to be commutative?

and L = f(0) + dt + g, (t) M = f(1) + 8(1)

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Therefore Similary LMx 282 x81 fi 12 d dt Hence LM ML if dx dx ... View full answer

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