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If the solution of the differential equa...

If the solution of the differential equation `(dy)/(dx)-y=1-e^(-x)` and `y(0)=y_0` has a finite value, when `x->oo,` then the value of `|2/(y_0)|` is__

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

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  2. A normal is drawn at a point P(x , y) of a curve. It meets the x-ax...

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  3. If the solution of the differential equation (dy)/(dx)-y=1-e^(-x) and...

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  4. Let y=y(t) be a solution to the differential equation y^(prime)+2t y...

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  5. If the dependent variable y is changed to z by the substitution ...

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  6. If the independent variable x is changed to y , then the differe...

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  7. If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y)...

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  8. Tangent is drawn at the point (xi ,yi) on the curve y=f(x), which ...

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  9. If the eccentricity of the curve for which tangent at point P inter...

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  10. The perpendicular from the origin to the tangent at any point on a ...

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  11. Find the order and degree of the following differential equations. i) ...

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  12. Form the differential equation of family of lines concurrent at the ...

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  13. Form the differential equation of all circle touching the x-axis at...

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  14. Form the differential equation of family of lines situated at a con...

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  15. From the differential equation of the family of parabolas with focus a...

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  16. The differential equation of all parabolas whose axis are parallel t...

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  17. Form the differential equation of the family curves having equation y=...

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  18. What is the order of the differential equation whose general solution ...

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  19. Find the particular solution of the differential equation (1+e^(2x))dy...

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  20. Solve log((dy)/(dx))=4x-2y-2 , given that y=1 when x=1.

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