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We're here going to take a brief detour and notice solutions to non-constant coefficient, second order differential equations of the form.
p (t) y′′ + q (t ) y′ + r (t ) y = 0
Generally, finding solutions to these types of differential equations can be much tougher than determining solutions to constant coefficient differential equations. Though, if we previously know one solution to the differential equation we can utilize the method that we used in the previous section to find a second solution. This method is termed as reduction of order.
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Differentiate following functions. Solution At this point there in fact isn't a lot of cause to use the product rule. We will utilize the product rule. As we add
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(x+3)>3
one half y minus 14
This time we are going to take a look at an application of second order differential equations. It's now time take a look at mechanical vibrations. In exactly we are going to look
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