I need to find a particular solution for y′′−6y′+25y=4t−7sin(5t)y″−6y′+25y=4t−7sin(5t) using the method of undetermined coefficients. The characteristic equation yielded c_1*e^3t cos(4t) + c_2*e^3t sin(4t). I need to determine what the particular solution would be, using Method of Undetermined coefficients. Finally, I need to solve the initial value problem corresponding to the initial conditions y(0)=0 and y′(0)=0.
I need to find a particular solution for y′′−6y′+25y=4t−7sin(5t)y″−6y′+25y=4t−7sin(5t) using the method of undetermined coefficients. The characteristic equation yielded c_1*e^3t cos(4t) + c_2*e^3t sin(4t). I need to determine what the particular solution would be, using Method of Undetermined coefficients. Finally, I need to solve the initial value problem corresponding to the initial conditions y(0)=0 and y′(0)=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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I need to find a particular solution for y′′−6y′+25y=4t−7sin(5t)y″−6y′+25y=4t−7sin(5t) using the method of undetermined coefficients.
The characteristic equation yielded c_1*e^3t cos(4t) + c_2*e^3t sin(4t).
I need to determine what the particular solution would be, using Method of Undetermined coefficients.
Finally, I need to solve the initial value problem corresponding to the initial conditions y(0)=0 and y′(0)=0.
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