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If y=y(x) and it follows the relation...

If `y=y(x)` and it follows the relation `4x e^(x y)=y+5sin^2x ,` then `y^(prime)(0)` is equal to______

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The slope of the tangent at (x , y) to a curve passing through a p...

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  2. If x(dy)/(dx)=x^(2)+y-2, y(1)=1, then y(2) equals ………………..

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  3. If y=y(x) and it follows the relation 4x e^(x y)=y+5sin^2x , then ...

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  4. A right circular cone with radius R and height H contains a liquid whi...

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  5. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

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  6. Solve the differential equation x y(dx)/(y dx)=(1+y^2)/(1+x^2)(1+x+x^2...

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  7. Statement 1 : The differential equation of all circles in a plane mu...

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  8. In which of the following differential equation degree is not define...

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  9. Statement 1 : Degree of the differential equation 2x-3y+2=log((dy)/(dx...

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  10. Statement 1 : The differentia equation of the family of curves repr...

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  11. Statement 1 : The order of the differential equation whose general s...

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  12. Statement 1 : Order of a differential equation represents the number...

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  13. Find the real value of m for which the substitution y=u^m will transfo...

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  14. Each question contains statements given in two columns which have to b...

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  15. Determine the equation of the curve passing through the origin, in ...

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  16. Let f(x), xge0, be a non-negative continous function,and let F(x) = in...

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  17. A hemi-spherical tank of radius 2 m is initially full of water and h...

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  18. A curve C has the property that if the tangent drawn at any point P...

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  19. A country has a food deficit of 10%. Its population grows continuously...

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  20. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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