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Show that the function y=Acos2x+Bsin2x i...

Show that the function `y=Acos2x+Bsin2x` is a solution of the differential equation `(d^2y)/dx^2+4y=0`

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. Write the differential equation representing the family of curves y...

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  2. Find the differential equation of the family of all straight lines pas...

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  3. Show that the function y=Acos2x+Bsin2x is a solution of the differenti...

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  4. Find the differential equation representing the family of curves y=ae^...

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  5. Find the differential equation of the family of curves : y=Ae^(2x)+B...

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  6. Find the differential equation of the family of circles (x-a)^(2)+(y-b...

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  7. Form the differential equation of the family of circles touching th...

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  8. Form the differential equation representing the family of parabolas...

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  9. Form the differential equation of the family of ellipses having foc...

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  10. A saving account pays 6% interest per year, compounded continuously. ...

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  11. A spherical rain drop evaporates at a rate proportional to its surf...

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

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  13. Solve the differential equation (1+x)(1+y^(2))dx+(1+y)(1+x^(2))dy =0...

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  14. (a) Solve :(i) (dy)/(dx)=1+x+y+xy (ii) xyy'=1+x+y+xy.

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  15. Find the particular solution of the differential equation (dy)/(dx) = ...

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  16. sqrt(1+x^2+y^2+x^2y^2)+x y \ (dy)/(dx)=0

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  17. Solve the following initial value problems and find the corresponding ...

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  18. find the particular solution satisfying the given condition, for the f...

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  19. Solve each of the following differential equations cos y "" dx +(1+2...

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  20. Find the particular solution of the differential equation e^x tan y dx...

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