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a
x-y+1=0
b
x+y-7=0
c
x2+y2=25
d
x2+y2-5x=10
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Correct option is A
The given differential equation is ydydx2+x−ydydx−x=0Factorize the differential equation and then equate each factor to zeroydydxdydx−1+xdydx−1=0ydydx+xdydx−1=0Either ydy+xdx=0 or y-x=c ⇒integrate x2 +y2 =c or y-x=c Since the curve passes through the point 3,4x2+y2=25 or y−x=1
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The solution to the differential equation is
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