Hello all,

I want to show that a function is a solution to Hermite's equation

if and only if is a solution to the Sturm-Liouville equation

Could someone assist me in the right direction.

Thanks.

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- Apr 27th 2010, 08:54 AMsurjectiveHermites differential equation
Hello all,

I want to show that a function is a solution to Hermite's equation

if and only if is a solution to the Sturm-Liouville equation

Could someone assist me in the right direction.

Thanks. - Apr 27th 2010, 10:06 AMBlack
.

Divide both sides of the equation by the exponential and you get the first equation.