I hope this helps you
Your mother takes u to your grandparents house for dinner. She drives 60 mins at a constant speed of 40 mph. She reaches the hig
2 answers:
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It looks like the differential equation is
Check for exactness:
As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that
*is* exact. If this modified DE is exact, then
We have
Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :
The modified DE,
is now exact:
So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that
Integrate both sides of the first condition with respect to <em>x</em> :
Differentiate both sides of this with respect to <em>y</em> :
Then the general solution to the DE is
Answer:
See explanation
Step-by-step explanation:
First, convert this to standard form. By completing the square, you can do the following:
This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!
