Question: please answer these (1 point) Find a particular solution to the differential equation -3y - 2y' + ly= -1+2 - It + 2e-2t yp(1 point)

please answer these

(1 point) Find a particular solution to the differential equation -3y" - 2y' + ly= -1+2 - It + 2e-2t yp(1 point) a. Find a particular solution to the nonhomogeneous differential equation y\" 103/ + 25y = e5I . yp = C] help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use A and B in your answer to denote arbitrary constants. Note: WeBWorK might not accept exp(kx) for this problem so you may need to use ea\") instead. yh = C] help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use A and B in your answer to denote arbitrary constants. y = C] help (formulas) (1 point) a. Find a particular solution to the nonhomogeneous differential equation y\" + 25y = cos(5x) + sin(5x). yp = C] help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use cl and (:2 in your answer to denote arbitrary constants. Enter (:1 as c1 and (:2 as c2. yh = C] help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 6 and y'(0) = 2. y = C] help (formulas)

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