Find the appropriate series solutions about the origin. for 2x(x+2)y''+y'-xy

Find the appropriate series solutions about the origin.

for 2x(x+2)y''+y'-xy

Expert Solution

We can cross check this solution by putting this in the main differential equation and just check the first 3-4 terms . Please provide a feedback and rating if you are satisfied with this solution.

Colby Messinger answered 2 years ago

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The only solution to the equation x^2 − xy + y^2 = 0 is the origin. Prove that statement is true by converting to polar coordinates. To be clear, you need to show two things: a. The origin is a solution to the equation (easy). b. There is no other point which is a solution to the equation (not easy).

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Find the appropriate series solutions about the origin. for 2x(x+2)y''+y'-xy

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