Consider a second order nonhomogeneous, linear differentialequation of the formwhere Y is the dependent function which is afunction of the independentvariable X; , a1,and a2 are constant coefficients;and g(x) is called the inputfunction.
Using the Method of Undetermined Coefficients requires a guessfor the particularsolution, yp(x), based on theform of the input function.Match each guess for the particularsolution, yp(x), with itsappropriate input function g(x).
Consider A Second Order Nonhomogeneous Linear Differential Equation Of The Form Where Y Is The Dependent Function Wh 1 (36.73 KiB) Viewed 22 times
g(x) = e* sin(2x) g(x) = cos(3x) g(x) = = x x cos(3x) g(x) = cos(2x)+sin(3x) g(x) = x sin(2x) 1. yp(x) = A cos (3x) + B cos(2x) + C sin(3x) + D sin(2x) 2. Yp(x) = (A + B) cos(3x) + (Cx + D) sin(3x) 3. y(x) = A cos (3x) + B sin(3x) 4. y(x) = Ae* cos(2x) + Be* sin(2x) 5. Does not match any of the options
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