7. In solving the first order differential equation y + m y = h x² where m and h are all constants, you must follow these steps: 7.1 Calculate P = J m dx (the constant of integration is zero) %3D and express R = e® (e to the power p) 7.2 Calculate T = J hx² R dx (the constant of integration is not zero) %3D 7.3 The solution of the differential equation is then y = т.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. In solving the first order differential equation y' + m y = h x² where mand h are all constants,
you must follow these steps:
7.1 Calculate P = J m dx (the constant of integration is zero)
and express R = e® (e to the power p)
7.2 Calculate T = J hx² R dx (the constant of integration is not zero)
7.3 The solution of the differential equation is then y =
т.
R.
Transcribed Image Text:7. In solving the first order differential equation y' + m y = h x² where mand h are all constants, you must follow these steps: 7.1 Calculate P = J m dx (the constant of integration is zero) and express R = e® (e to the power p) 7.2 Calculate T = J hx² R dx (the constant of integration is not zero) 7.3 The solution of the differential equation is then y = т. R.
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