WEBVTT
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In order to solve this equation, we want to
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get into the form y prime plus y p of
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X is Q backs as listed in the textbook and
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order. To this, we must divide both sides
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by X to get wide prime minus two. Why
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over acts is acts. Now we know we must
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multiply each of these terms by the constant of integration
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. So each the integral is night of negative to
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over Axe de Axe gives us eat the negative to
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natural law of acts which gives us eat the natural
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of X to the minus two, which is acts
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to the minus two because again, each the natural
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log simply gives us once This can literally just be
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crossed off. Okay, Now that we have this
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, we know we're gonna be multiplying the integrating factor
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by each of our subsequent terms. Because then were
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we able to integrate the right side So you can
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see we're just multiplying each other charms by the integrating
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factor. Okay, cool. Now that we've got
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this, we know the left hand side remains.
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Why axe to the negative too? However, the
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right hand side we now need to integrate DEA vacs
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over acts which is the same thing is integrating one
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over ox, which is natural log of X plus
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C. Now, lastly, for a last step
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, we know we must divide both sides in order
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to get why by itself. So we're dividing each
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of these terms by X to the negative too.
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So we end up with why is X squared times
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natural log of acts plus see are integrating factor.