Hello students! My name is Mr. Freeland!
Created on: July 18th, 2006
I want you all to figure out this equation: "Differentiate y = xx", take your time, and remember, LEARN!
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yes x is a variable, but the term (xx) is also a single variable. Granted this really teachs nothing because Freeland is either looking for a specific answer, or just baiting people to post on his page. His lack of direction so far seems to suggest the ladder, but if he's just doing it to make a ytmnd about the comments later, or try and get people to discuss the problem to "educate" us is anyones guess.
The method of undetermined coefficients (MoUC), is useful in finding solution for yp. Given the ODE P(D)y = f(x), find another differential operator A(D) such that A(D)f(x) = 0. This operator is called the annihilator, and thus the method of undetermined coefficients is also known as the annihilator method. Applying A(D) to both sides of the ODE gives an homogeneous ODE for which we find a solution basis as before. Then the original nonhomogeneous ODE is used to construct a system of equations restricting
As explained above, the general solution to a non-homogeneous, linear differential equation y''(x) + p(x)y'(x) + q(x)y(x) = g(x) can be expressed as the sum of the general solution yh(x) to the corresponding homogenous, linear differential equation y''(x) + p(x)y'(x) + q(x)y(x) = 0 and any one solution yp(x) to y''(x) + p(x)y'(x) + q(x)y(x) = g(x).
uhhh ok let's go through all crazy possibilites of what "Differentiate y = xx" could mean...
-if y is a function of x and you want its derivative
--and if xx means the variable denoted by x times itself then dy/dx=2x
--and if xx means the variable denoted by xx, which would be retarded, then dy/dx=1
-if, which i suspect because you put the word differentiate inside the quotes in the description, it is part of the equation, in other words find y(x) given y'(x)=xx
...cont...
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