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Given the following equations y´(x)+y(x)=e-x; 2y´(x)+y(x)=e-x ; y´(x)+2y(x)=e-x a. Use the integration factor and find your...

Given the following equations

y´(x)+y(x)=e-x; 2y´(x)+y(x)=e-x ; y´(x)+2y(x)=e-x

a. Use the integration factor and find your solutions

b. Discuss the trend behavior of the solutions and (x) as follows:
1. compare the graphs of y (x) with the graphs of F (x)
2. Compare the graphs of y (x) with respect to the coefficients of the differential equations

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