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Mathematics, 30.11.2019 05:50 4804053670

[second order differential equations] linear constant-coefficient 2nd order differential are very important in electrical and computer engineering (ece), yet recitation quiz #5 shows that many of you are still struggling with that concept. here we start with such a differential equation, first a homogeneous solution and then with a forcing function for which we know the form of the particular solution, but then we move on to a more complicated forcing function and then finally to a problem with time-varying coefficients: find the entire solution for each of the following: (a) y 00 βˆ’ 4y 0 + 5y = 0, y(0) = 1, y0 (0) = 0 (b) y 00 βˆ’ 4y 0 + 5y = 5t 2 , y(0) = 2, y0 (0) = 0 (fractions get a little messy) find the particular solution to the following using the variation of parameters technique: (a) y 00 βˆ’ 4y 0 + 5y = e 2t csc t (b) t 2y 00 βˆ’ 4ty0 + 6y = t βˆ’4 .

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