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a) Given the following differential equation: dy dt Obtain the general solution showing clearly the complimentary function and the particular solution. + 4y = 12 Test for the dynamic stability of the equilibrium. (ii) 5) Find the time path for the differential equation 3 dy + 2ty = t; y(0) = ²/ dt

a) Given the following differential equation: dy dt Obtain the general solution showing clearly the complimentary function and the particular solution. + 4y = 12 Test for the dynamic stability of the equilibrium. (ii) 5) Find the time path for the differential equation 3 dy + 2ty = t; y(0) = ²/ dt

Advanced Engineering Mathematics
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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Differential equations 

a) Given the following differential equation: dy dt (i) + 4y = 12 Obtain the general solution showing clearly the complimentary function and the particular solution. Test for the dynamic stability of the equilibrium. (ii) 5) Find the time path for the differential equation dy dt + 2ty = t; y(0) || 3 2
Transcribed Image Text:a) Given the following differential equation: dy dt (i) + 4y = 12 Obtain the general solution showing clearly the complimentary function and the particular solution. Test for the dynamic stability of the equilibrium. (ii) 5) Find the time path for the differential equation dy dt + 2ty = t; y(0) || 3 2
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