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 $.
