Problem 5: Solve the following differential equation for y(t) for the initial value problem using the Method of Variation of Parameters. Please be sure to show your work deriving your solution. y"(t) – 3y/(t) + 2y(t) = exp (-4t), y(0) = 1/6, y/(0) = -4/3 %3D

Q: im(xx)!(0;0) f(x; y) = 1.|

A: this statement is false , and mathmatical reasoning and example is in next step

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A: Please see the below picture for detailed solution. 

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A: Explanation of the answer is as follows

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A: Explanation of the answer is as follows

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A: First we find radius of convergence. Then find interval of convergence. 

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A: According to question,Given Function,fx = 2x-5x+1n = 4

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Q: 2. f(x) = Va +æ + 1

A: Here, the given function is: f(x)=x2+x+13 Now, f'(x)=13(x2+x+1)13-1(2x+1)        =13(x2+x+1)-23(2x+1...

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A: Given query is to find the time taken to paybthe loan 

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A: Maclaurin series is nothing but taylor series expansion at a=0 point. First we will find the maclaur...

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Q: 1. Consider the function f(x) whose graph is given below. If a discontiuity is Emumerate all discont...

A: Discontinuity