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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.
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define even and odd function state whether given function are even odd or neither 1 f x =sin x cos x 2 f x {x}=x +x3n #Minimum 100 words accepted#
Definition 1. Given any x 1 & x 2 from an interval I with x 1 2 if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2. Given any x 1 & x 2 from an interval
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WHAT DIVISION MEANS : Ask any primary school teacher which areas in arithmetic the children find very difficult. Division will probably top her list. This is not surprising. If y
Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each mo
For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the
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