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Previous Problem Problem LIST Next Problem (15 points) a. Find a particular solution to the nonhomogeneous differential equation y - 8y' + 16y= ex

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Previous Problem Problem LIST Next Problem (15 points) a. Find a particular solution to the nonhomogeneous differential equation y" - 8y' + 16y= ex Yp (1/16)e^(4x) help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use c and c in your answer to denote arbitrary constants and enter them as c1 and c2. Yh (c1+c2x)e^(4x) help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use c and c in your answer to denote arbitrary constants. y= (c1+c2x)e^(4x)+(1/16)e^(4x) help (formulas) a. Find a particular solution to the nonhomogeneous differential equation y" - 8y' + 16y= ex Yp= (1/16)e^(4x) help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use c and c in your answer to denote arbitrary constants and enter them as c1 and c2. Yh (c1+c2x)e^(4x) help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use c and c in your answer to denote arbitrary constants. D y= (c1+c2x)e^(4x)+(1/16)e^(4x) help (formulas)

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