please solve: dy-xdx=0, if the curve pass through (1,0)

dy-xdx=0, if the curve pass through (1,0)
in Algebra 2 Answers by Level 12 User (101k points)

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5 Answers

We have dy=xdx
by Level 12 User (101k points)
→y=x^2/2 +c (parabola)
by Level 12 User (101k points)
Now, y(1)=0
by Level 12 User (101k points)
C+1/2=0 → c=-1/2
by Level 12 User (101k points)
Therefore, y=1/2 (x^2-1)
by Level 12 User (101k points)

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