D is operator? If the problem is like that you shouldn't separate from variable!
ok im not sure if im doing this right, my numbers are getting a little funky i was wondering if someone could check my work and let me know if im doing it right. this is the problem
i solved it for y by eliminating the x
i got the following...
im not done with the problem, i jus wanted to know if i was right up to the point of where I am. thanks in advance.
Yes, "D" is the derivative operator. But it is common notation in linear differential equations with constant coefficients to write, say, as . As long as the coefficients are constant, the " " can be treated like a polynomial (if the coefficients are not constant, you run into problems with commutativity).
Slapmaxwell1, that is not what I get. Differentiating the second equation, . From the first equation, so . From the second equation, [tex]2x= (D- 9)y[tex] so [tex]-10x= (-5D+ 45)y. Then . You appear to have dropped the "14y".
is not going to factor easily but the equation can be solved by completing the square or the quadratic formula.