Find linearly independent functions that are annihilated by the given differential operator. (Give as many functions as possible. Use x as the independent variable. Enter your answers as a comma-separated list.) D2 − 6D − 55

Step-by-step explanation:

We have the differential operator

the factors are

we also know that for any operator of the form (D - α) the function that is annulated by the operator has the form:

in our case we have n=1 and α=11,-5. Hence we have

the solutions are

I hope this is useful for you

regards

there are infinitely many solutions.

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8