Hi everyone! Read through the material below, and follow up with your instructor if you have questions.

Lesson 23: Series Solutions Near an Ordinary Point II

Learning Outcomes: At the end of this lesson you will be able to use power series to find the solutions to differential equations with initial conditions.

Topic. This lesson covers section 7.3:Series Solutions Near an Ordinary Point II

WeBWorK. There is one WeBWorK assignment on today’s material:

Lesson Notes. Here

Question of the day: Find the coefficients a_{0}, \cdots, a_{7} in the series solution y=\sum_{n=0}^{\infty}a_{n}x^n of the initial value problem (1+3x)y^{\prime\prime}+xy^{\prime}+2y=0, y(0)=1, y^{\prime}(0)=-1.