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Consider the equation (x^2)/(a^2+lambda)...

Consider the equation `(x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1,` where a and b are specified constants and `lambda` is an arbitrary parameter. Find a differential equation satisfied by it.

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Find the differential equation of all non-vertical lines in a plane.

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  2. The differential equation of all the ellipses centred at the origin an...

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  3. Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a...

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

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  5. Form the differential equation of the family of parabolas with focus a...

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

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  7. Find the differential equation of all parabolas whose axis are paralle...

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  8. A body at a temperature of 50^(@) F is placed outdoors where the tempe...

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  9. Solve (dy)/(dx)=(2x-y+1)/(x+2y-3)

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  10. Solve x^2((dy)/(dx))+y=1

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  11. Find the degree of the differential equation satisfying the relation s...

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

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  13. Find the time required for a cylindrical tank of radius 2.5 m and he...

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  14. Solve (dy)/(dx)=(x+y)^2

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  15. Solve (dy)/(dx)=(x+2y+3)/(2x+3y+4)

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  16. Solve ((dy)/(dx))+(y/x)=y^3

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  17. Solve (dy)/(dx)+ 3y = e^(-2x)

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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 : (dy)/(dx)-y/x=2x^2

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  20. Solve the equation (dy)/(dx)+xsin2y=x^3cos^2y

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