Given that the roots of the characteristic equation of a specific higher order DE with constant...

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Given that the roots of the characteristic equation of a specific higher order DE with constant coefficients (that has f(x) as a forcing term) as (2= ±2, 2 ±i, 5, 2, -3, 2): a. What is the order of this differential equation? b. Write the form of the homogenous solution. c. Write the form of a particular solution (only write the form), if: -2x ƒ(x) = ( −2 − 1) e−²x + (x³ − 2) cos(5x) + (4x − 7)e²x + (x − 1)e²x sin(x) + 2x²e³x - Given that the roots of the characteristic equation of a specific higher order DE with constant coefficients (that has f(x) as a forcing term) as (2= ±2, 2 ±i, 5, 2, -3, 2): a. What is the order of this differential equation? b. Write the form of the homogenous solution. c. Write the form of a particular solution (only write the form), if: -2x ƒ(x) = ( −2 − 1) e−²x + (x³ − 2) cos(5x) + (4x − 7)e²x + (x − 1)e²x sin(x) + 2x²e³x -

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