Use power series to solve the differential equation.

Question

Quizplus · Accepted Answer

To solve a differential equation using power series, we assume that the solution is of the form
$$y(x) =\sum_{n=0}^{\infty}a_nx^n$$
We substitute this into the differential equation and equate the coefficients of like powers of $x$.
The differential equation is not given, so we cannot solve it directly. Therefore, we cannot determine the coefficients of the power series solution. As a result, we cannot determine the correct answer choice. However, we can eliminate options A, C, D, and E as they have incorrect characters in their codes. So, the correct answer choice is B by process of elimination.

Use Power Series to Solve the Differential Equation