MATH201 Lecture 21: MATH201(LEC21): Solving IVP using Power Series Method

• School: University of Alberta
• Department: Mathematics
• Course: MATH201
• Professor: Mohammad Ali Niksirat

Document Summary

Step 3: plug the above power series equations into the given differential equation: Step 4: shift x so all x have the same power: Note: may use dummy variable to make shift easier (1) = 2 = + 2. @ = 2 = 0 = 0. 1 + 1 + 1 (2) = + 1 = 1. @ = 0 = 1 = 1. 2 solve the ivp using the power series method. Step 5: want summation to start with same n-value: Note: the above highlighted equation is the recursive formula. Math201(lecture 21): differential eqs w/ polynomial coefficients & power series. Step 2: assuming that the solution can be written as a power series: Step 3: plugging the above into the given de: Step 5: want summation to start at the same : 4 solve the ivp using the power series method. 1 2 , where ( 3)