- #1

kthouz

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1. How to solve the equation of the kind xy'-3y=3 using power series.

I usually solve kind pf homogeneous equations. Here the problem rises when i want to equalise all the coefficient of x^n to 0. Because of that 3 there i don't now how to procede.

2. I don't know what is exactly an ordinary point. They say that an ordianry point is a point at which an ordinary differential equation is "analytic",but i don't understand that term "analytic".

3. Is it important to look for the radius of convergence first, when you want to solve an ODE using power series? I always consider around x=0.