Recent content by Mukuro

Well we don't have to solve it which I am happy about. However, I am still confused, even if I may have to multiply by at most x^3, it doesn't seem to explain the bx^2. For instance the Ax + B is my guess to Ly = x, which I figure should be enough but seeing as it is a 3rd order equation how...

Could you give me a hint as to what equation your referring to, my solution or the actual equation stated in the problem? I'm so very determined atm <.> OK I recognize that it is a 3rd order equation... I do not however know what that does LOL. I usually deal with just 2nd orders.

But the problem with that is, the book CLEARLY SAYS that e^(-3x) is apart of the particular solution, I have double checked two books, my own and my fellow classmates. It also states that when this happens we can multiply the function by x to achieve Axe^(x) (standard example). This is what I...

Oh I typed the actual solution wrong, which I'll have to fix. The actual solution is ax + bx^2 (cx + dx^2) e^(-3x), and I know that e^(-3x) is in the solution that is why I multiply it by and distribute it out. x * (cx + b)*e^(-3x) is not equal to (cx +b)*e^(-3x).

I understand that e ^-3x is in the homogeneous solution, that's why it by x, however this still does not explain why C and D happen to be reversed or why b has an x^2 attached.

It's just how the integration of the functions works. The constant added in the denominator will ALWAYS follow the pattern I typed out. For instance, the integral of 1/ x^2 + 3 will be, [sqrt 3 * tan inverse (sqrt 3 * x/3)]/3 this can be shown using something on the internet or a graphing...

Well I happen to be a student still, but when I was taking calculus, tbh my teacher just taught me how it worked. She didn't even bother to explain it, she just gave us the fact that the integral of that type of function was tan inverse of x and showed us how it worked. I do not find that books...

Just using u-substitution (in this case t), won't accomplish much, I believe the problem calls for strict memorization of how the integrals of these kind of functions works. We know that, the integral of 1/(x^2+1) is tan inverse of x, however a general way to look at it is [ (sqrt S) * tan...

Homework Statement Find the appropiate particular solution form for y''' - y'' - 12y' = x - 2x*e^-(3x) DO NOT SOLVE FOR THE COEFFICIENTS Homework Equations Just guessing proper solution forms for nonhomogeneous second order D.Es with undetermined coefficients. The Attempt at a Solution...