Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x) = Ax² + Bx + C, + Bx + C, B. yp(x) = Ae²x, C. Yp(x) = A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. Yp(x) = Axe², and F. 1. 2. 3. 4. 3x Yp(x) = e³¹ (A cos 2x + B sin 2x) d²y dx² d²y dx² + 4y = x dy dx +6. y" + 4y + 13y x² + 8y = e2x = 20 3 cos 2x y" - 2y - 15y = e cos 2x

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A: given differential equation  y'''+3y''+3y'+y=0  here order of differential equation is 3.

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Q: 5) Use the method of undetermined coefficients to find a solution to y"+y-6y=5Kte-t for a constant…

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A: We need to solve D.E.

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Q: Match the following guess solutions y, for the method of undetermined coefficients with the…

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A: for the homogeneous system, the auxiliary equation is given by

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