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If the independent variable x is changed...

If the independent variable `x` is changed to `y ,` then the differential equation `x(d^2y)/(dx^2)+((dy)/(dx))^3-(dy)/(dx)=0` is changed to `x(d^2x)/(dy^2)+((dx)/(dy))^2=k` where `k` equals____

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  4. If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Solve (d^2y)/(dx^2)=(a)^2

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