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In the earlier section we introduced the Wronskian to assist us find out whether two solutions were a fundamental set of solutions. Under this section we will look at the other application of the Wronskian and also an alternate method of computing the Wronskian.
Let's begin with the application. We require introducing a couple of new concepts first.
Specified two non-zero functions f(x) and g(x) write down the subsequent equation
c f ( x ) + k g ( x ) = 0
See that c = 0 and k = 0 will make (1) true for all x regardless of the functions which we use.
Here, if we can get non-zero constants c and k for that (1) will also be true for all x so we call the two functions linearly dependent. Conversely, if the only two constants for that (1) is true are c = 0 and k = 0 so we call the functions linearly independent.
need help with future value project
long ago, people decided to divide the day into units called hours. they choose 24 as the number of hours in one day. why is 24 a more convenient choice than 23 or 25?
Provided a homogeneous system of equations (2), we will have one of the two probabilities for the number of solutions. 1. Accurately one solution, the trivial solution 2.
Assume A and B are symmetric. Explain why the following are symmetric or not. 1) A^2 - B^2 2) (A+B)(A-B) 3) ABA 4) ABAB 5) (A^2)B
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real life applications of lengrange''s mean value theorem
Two stations due south of a tower, which leans towards north are at distances 'a' and 'b' from its foot. If α and β be the elevations of the top of the tower from the situation, Pr
There are really three various methods for doing such integral. Method 1: This method uses a trig formula as, ∫sin(x) cos(x) dx = ½ ∫sin(2x) dx = -(1/4) cos(2x) + c
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