Question

Write the differential equation obtained eliminating the arbitrary constant C in the equation xy=C^2​

Answer 1

Step-by-step explanation:

xy=ccos(x)

xy÷cos(x)=c

differentiate

(cosx(y+x(dy÷dx)+sinx(xy))÷cos

2

x=0

cosx(y+x(dy÷dx)=−sinx×(xy)

ycosx+xcosx(dy÷dx)=−xysinx

xcosx(dy÷dx)=−(ycosx+xysinx)

dy÷dx=−((y÷x)+ytanx)