Given the following solutions, determine the corresponding roots of the characteristic equation and the cauchy-euler differential equation. 1) y = x-3+1 2) y = (1+ln x)x3/2 3) y = x(cos(2 ln x)+sin(2 ln x))

Given the following solutions, determine the corresponding roots of the characteristic equation and the cauchy-euler differential equation. 1) y = x-3+1 2) y = (1+ln x)x3/2 3) y = x(cos(2 ln x)+sin(2 ln 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.CR: Chapter 11 Review

Problem 1CR

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Question

Given the following solutions, determine the corresponding roots of the characteristic equation and the cauchy-euler differential equation.

1) y = x^-³+1
2) y = (1+ln x)x^3/23) y = x(cos(2 ln x)+sin(2 ln x))

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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