WEBVTT
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in this video, we're gonna go through the answer
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to question number seven from chapter 2.4 so as to
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show whether this equation inseparable, linear or exact or
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none of these. Okay, firstly, is it
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separable? It's quite clearly not because you condone you're
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just never gonna be able to split up this cause
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x y or this calls ex wife into a function
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of X times. By a function of why you
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just never gonna be able to see that So is
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not separable. Is it linear again? It's not
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linear because cause of X Why is a nominee a
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function of X on dhe? A moment of your
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wife is exact. Well, let's see. Let's
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try and work out What gm the wise when M
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is this guy? Eso differentiate that inspector why we
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used the, uh, the product rule for the
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second term. Okay, so that's gonna be because
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x by close. Why? Times x AA minus
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at times my minus sign specs. Why? Okay
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, so let's just go through that. So,
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firstly, we different rate the at the y on
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left cause X y alone. Then we left.
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Why alone on different trade cause X Y ah,
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we do the chain with your friend shake cause that's
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why that's why we bring the X out the front
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and then caused different shades to my side. Okay
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, so this is cause thanks. Why? Plus
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rooms minus next. Why sine x y Then let's
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see whether that's equal toe the end The X Where
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is the commission Off the d y in the equation
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. So again, using chain rule? Yeah,
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it's gonna be cause text. Why minus, Let's
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see X times Why times sine x y that's using
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the chain will once again Okay, so the M
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d y is equal to the MDX, so therefore
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, it is an exact defense in question.