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Mathematics Clinic => Calculus => Topic started by: oliviahorn72 on May 27, 2021

Title: The differential equation 2y" + xy' + y = 0 has a power series solution for some constant real ...
Post by: oliviahorn72 on May 27, 2021

Question 1

Solve the initial-value problem  y" + 3xy' + 3y = 0,  y(0) = 1,  y'(0) = 0  as a power series in powers of  x.
◦ y  =   x2n
◦ y  =   x2n
◦ y  =   x2n
◦ y  =   x2n
◦ y  =   x2n

Question 2

The differential equation 2y" + xy' + y = 0  has a power series solution   for some constant real numbers A and B and C. Find C.
Title: The differential equation 2y" + xy' + y = 0 has a power series solution for some constant real ...
Post by: chjcharjto14 on May 27, 2021

Answer 1

y  =   x2n

Answer 2

C = - (1/20)