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Differentials : In this section we will introduce a notation. We will also look at an application of this new notation.
Given a function y = f ( x ) we call dy & dx differentials and the relationship among them is specified by,
dy = f ′ ( x ) dx
Note as well that if we are just given f (x) then the differentials are df & dx and we calculate them in the similar manner.
df = f ′ ( x ) dx
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In this theorem we identify that for a specified differential equation a set of fundamental solutions will exist. Consider the differential equation y′′ + p (t ) y′ + q (t
I need help with my calculus work
Estimate the area between f ( x ) =x 3 - 5x 2 + 6 x + 5 and the x-axis by using n = 5 subintervals & all three cases above for the heights of each of the rectangle. Solution
2/4 + 3/4 =
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sin(xy)+x=5y Find the derivative.
$112/8=
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