Consider the following first order differential equation. Let y = Σanx" be a power series solution in a n=0 to the equation. y'-4y= 0, y(0) = 3 a) Find the general coefficient an of the power series of the solution y in terms of n. an b) Calculate the radius of convergence (use oo if the radius is infinite). R= ∞ c) Express the solution in terms of familiar elementary functions. y(x) = =

Consider the following first order differential equation. Let y = Σanx" be a power series solution in a n=0 to the equation. y'-4y= 0, y(0) = 3 a) Find the general coefficient an of the power series of the solution y in terms of n. an b) Calculate the radius of convergence (use oo if the radius is infinite). R= ∞ c) Express the solution in terms of familiar elementary functions. y(x) = =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...

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