Find two linearly independent solutions of 2x²y" - x y' + (5x+1)y=0, x 0 of the form y₁ = x^r1(1+ a₁ x + a₂ x² + a₃ x³ + ...).

Question

Find two linearly independent solutions of 2x²y" - x y' + (5x+1)y=0, x >0 of the form
y₁ = x^r1(1+ a₁ x + a₂ x² + a₃ x³ + ...).
y₂= x^r2(1+b₁x + b₂x² + b₃x³ + ...)
where r₁ > 2.
Enter
r₁ =
a₁ =
a₂ =
a₃=
r₂=
b₁ =
b₂ =
b₃=

Kunduz · Accepted Answer

Click to see the answer