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July 28th, 2019, 07:21 PM   #1
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Solution of partial differential function.

Dear all,

I have the following Partial Differential Function. It's a Second-order variable coefficient homogeneous linear differential equation.
(A.Y')+CY=0

in which A and Y are functions of x, C is a non-zero constant.
A is not an elementary function. So is it possible to represent Y in terms of A or A'?

When C is zero, it is quite easy. Y is the harmonic average of A.
When C is non-zero, is it possible to write Y in terms of A?
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July 29th, 2019, 06:46 AM   #2
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Why "second order" and why "partial"?
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