# Alzheimer's disease The rate of change of the number of Americans over age 65 with Alzheimer’s disease (in millions per year) for years from 2000 and projected to 2050 can be modeled by the differential equation d A d t = 0.0228 A where t is the number of years after 2000 (Source: Alzheimer’s Association). Given that in 2010 Alzheimer’s disease affected 5.15 million Americans over age 65, find the particular solution to the differential equation. This solution models the number of Americans over age 65 with Alzheimer’s disease. Use the model found in part (a) to project the number of Americans over age 65 with Alzheimer’s disease in 2035.

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042

Chapter
Section

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 12.5, Problem 62E
Textbook Problem
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## Alzheimer's disease The rate of change of the number of Americans over age 65 with Alzheimer’s disease (in millions per year) for years from 2000 and projected to 2050 can be modeled by the differential equation d A d t = 0.0228 A where t is the number of years after 2000 (Source: Alzheimer’s Association). Given that in 2010 Alzheimer’s disease affected 5.15 million Americans over age 65, find the particular solution to the differential equation. This solution models the number of Americans over age 65 with Alzheimer’s disease. Use the model found in part (a) to project the number of Americans over age 65 with Alzheimer’s disease in 2035.

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