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The slope of the tangent at (x , y) to ...

The slope of the tangent at `(x , y)` to a curve passing through `(1,pi/4)` is given by `y/x-cos^2(y/x),` then the equation of the curve is

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The solution of (x+y+1)dy=dx is

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  2. Solve x((dy)/(dx))=y(logy-logx+1)

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

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  4. The solution of (x^(2)+xy)dy=(x^(2)+y^(2))dx is

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  5. The solution of differential equation y y^(prime)=x((y^2)/(x^2)+(f((y...

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  6. The solution of (y+x+5)dy=(y-x+1)dx is

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  7. Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y...

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

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

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

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

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

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

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

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

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

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

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

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

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

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