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The differential equation (dy)/(dx)=(sqr...

The differential equation `(dy)/(dx)=(sqrt(1-y^2))/y` determines a family of circle with (a) variable radii and a fixed centre at` (0, 1)` (b) variable radii and a fixed centre at `(0,-1)`(c) Fixed radius 1 and variable centres along the x-axis. (d) Fixed radius 1 and variable centres along the y-axis.

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  11. A curve passing through (2,3) and satisfying the differential equation...

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  13. The solution of the differential equations: (x+x^(3)/(3!)+x^(5)/(5!)...

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  14. A and B are two separate reservoirs of water. Capacity of reservoir...

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  15. If inta^x ty(t)dt=x^2+y(x), then find y(x)

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  16. Given a function ' g' which has a derivative g' (x) for every real x a...

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  17. Solve ((dy)/(dx))^2-x(dy)/(dx)+y=0

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  18. If y+d/(dx)(x y)=x(sinx+logx), find y(x).

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  19. Solve : {xcos(y/x)+ysin(y/x)}ydx={ysin(y/x)-xcos(y/x)}xdy

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  20. Solve xy(dy)/(dx)=x^2+2y^2

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