question below:

Decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution of the given equation. Do not solve the equation. 5y" - 7y' + 7y=the - 2t sin 9t - 4t cos 6t + 15' . . . Can the method of undetermined coefficients together with superposition be applied to find a particular solution of the given equation? O Yes O NoDetermine the form of a particular solution for the differential equation. Do not solve. y" - y= 8te 7t + 7+2 e 7t . . . The form of a particular solution is yp (t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)Determine whether the functions y1 and y2 are linearly dependent on the interval (0,1 ). y1 =1 -2 sin 2t, y2 =14 cosZt E> Select the correct choice below and, if necessary, ll in the answer box within your choice. 0 A- Since y1 = (ED y2 on (0,1), the functions are linearly independent on (0,1). (Simplify your answer.) 0 3- Since y1 = (ED y2 on (0,1), the functions are linearly dependent on (0,1). (Simplify your answer.) 0 C. Since y1 is not a constant multiple of y2 on (0,1), the functions are linearly independent on (0,1). 0 D. Since y1 is not a constant multiple of y2 on (0,1), the functions are linearly dependent on (0,1)