Second Order Equations-Undetermined Coefficients: Problem 6

(1 point)

a. Find a particular solution to the nonhomogeneous differential equation y" + 4y' + 5y = -5x + 5e-*.

Yp = help (formulas)

b. Find the most general solution to the associated homogeneous differential equation. Use c₁ and c₂ in your answer to denote arbitrary constants, and enter them as c1 and c2.

Yh=

help (formulas)

c. Find the most general solution to the original nonhomogeneous differential equation. Use c₁ and c₂ in your answer to denote arbitrary constants.

y=

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help (formulas)