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1. Prove that function, y(x)=C₁e²x + C₂e2 is a family solution for the differential equation: d² y(x). dx² 4y(x)=0 Find a particular solution of this differential equation for a) y(0)=2, and y'(0) = 4 b) y(0)=3, and y'(0) = 4

1. Prove that function, y(x)=C₁e²x + C₂e2 is a family solution for the differential equation: d² y(x). dx² 4y(x)=0 Find a particular solution of this differential equation for a) y(0)=2, and y'(0) = 4 b) y(0)=3, and y'(0) = 4

Calculus For The Life Sciences
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 34CR
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1. Prove that function, y(x)=C₁e²x + C₂e-2 is a family solution for the differential equation: d² y(x). dx² 4y(x) = 0 Find a particular solution of this differential equation for a) y(0)=2, and y'(0) = 4 b) y(0)=3, and y'(0) = 4
Transcribed Image Text:1. Prove that function, y(x)=C₁e²x + C₂e-2 is a family solution for the differential equation: d² y(x). dx² 4y(x) = 0 Find a particular solution of this differential equation for a) y(0)=2, and y'(0) = 4 b) y(0)=3, and y'(0) = 4
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