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Differential equation of the family of circles touching the line `y=2` at `(0,2)` is

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. If dy/dx=(e^y-x)^(-1), where y(0)=0 , then y is expressed explic...

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  2. If y=x/(log|cx|) (where c is an arbitrary constant) is the genera...

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  3. Differential equation of the family of circles touching the line y=...

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  4. The differential equation of all parabolas whose axis are parallel ...

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  5. A differential equation associated to the primitive y=a+b e^(5x)+c...

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  6. The order and degree of the differential equation of all tangent li...

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  7. A solution of the differential equation, ((dy) /( dx))^2- x ( dy ) /( ...

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  8. A curve y=f(x) passes through the origin. Through any point (x , y) on...

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  9. A spherical rain drop evaporates at a rate proportional to its surf...

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  10. If length of tangent at any point on the curve y=f(x) intercepted be...

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  11. For the primitive integral equation y dx+y^2dy=xdy ; x in R ,y >0,y(1...

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  12. The solution of the primitive integral equation (x^2+y^2)dy=x ydx is ...

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  13. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2) eq...

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  14. If y(t) is a solution of (1+t)dy/dt-t y=1 and y(0)=-1 then y(1) ...

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  15. The slope of the tangent at (x , y) to a curve passing through (1,p...

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  16. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a f...

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  17. Spherical rain drop evaporates at a rate proportional to its surface...

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  18. Water is drained from a vertical cylindrical tank by opening a value a...

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  19. The population of a country increases at a rate proportional to the...

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  20. An object falling from rest in air is subject not only to the gravit...

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