A. Consider the First Order Linear Differential Equation in Standard Form dy / dt + p(t) y = g(t), where both functions p(t) and g(t) are continuous on an open interval I. Suppose you want to solve such an equation using the Method of Integrating Factors. Which of the functions below would be an integrating factor? Circle your answer! (i) µ(t) = exp integral − p(t) dt (ii) µ(t) = exp integral − g(t) dt (iii) µ(t) = exp integral p(t) dt (iii) µ(t) = exp integeral g(t) dt. B. Use the Method of Integrating Factors to solve the following equation, y' + 3/t y = ln(t) / t^4 , t > 0.
A. Consider the First Order Linear Differential Equation in Standard Form dy / dt + p(t) y = g(t), where both functions p(t) and g(t) are continuous on an open interval I. Suppose you want to solve such an equation using the Method of Integrating Factors. Which of the functions below would be an integrating factor? Circle your answer! (i) µ(t) = exp integral − p(t) dt (ii) µ(t) = exp integral − g(t) dt (iii) µ(t) = exp integral p(t) dt (iii) µ(t) = exp integeral g(t) dt. B. Use the Method of Integrating Factors to solve the following equation, y' + 3/t y = ln(t) / t^4 , t > 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A. Consider the First Order Linear Differential Equation in Standard Form
dy / dt + p(t) y = g(t),
where both functions p(t) and g(t) are continuous on an open interval I. Suppose you want to solve such an equation using the Method of Integrating Factors. Which of the functions below would be an integrating factor? Circle your answer!
(i) µ(t) = exp
(ii) µ(t) = exp integral − g(t) dt
(iii) µ(t) = exp integral p(t) dt
(iii) µ(t) = exp integeral g(t) dt.
B. Use the Method of Integrating Factors to solve the following equation, y' + 3/t y = ln(t) / t^4 , t > 0.
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