Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Find the general solution to the equation

1) Find the general solution to the equation y(t) to 2y" + y' – y = 3e-t+ 2e-/2 Using the method of undetermined coefficients or using the variation of parameters method. 2) Find a solution y(t) to the equation 2y" + y' – y = 3e-t + 2e-t/2 which satisfies the following two conditions: (i) y(0) = 2; (ii) y(t) does not tend to too as t 0o. Is such y(t) unique? *Show your work/Justify your answer!*
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Transcribed Image Text:1) Find the general solution to the equation y(t) to 2y" + y' – y = 3e-t+ 2e-/2 Using the method of undetermined coefficients or using the variation of parameters method. 2) Find a solution y(t) to the equation 2y" + y' – y = 3e-t + 2e-t/2 which satisfies the following two conditions: (i) y(0) = 2; (ii) y(t) does not tend to too as t 0o. Is such y(t) unique? *Show your work/Justify your answer!*
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