The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx Y2 = Y₁(x) f x²(x) as instructed, to find a second solution y₂(x). y" + 100y = 0; Y₁ = cos(10x) Y₂ = -dx (5)

The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx Y2 = Y₁(x) f x²(x) as instructed, to find a second solution y₂(x). y" + 100y = 0; Y₁ = cos(10x) Y₂ = -dx (5)

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 33CR

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Question

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Mat 285 ordinary differential equation

The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
e-SP(x) dx
2
y ²₁ (x)
Y₂ = y₁ (X) /
Y2 =
-dx
(5)
as instructed, to find a second solution y₂(x).
y" + 100y = 0; Y₁ = cos(10x)

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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