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Find the general solution of the differential equation `(dy)/(dx)=(1+y^2)/(1+x^2)`

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Choose the correct answer . Which of the following differential equati...

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  2. Find the general solution of the differential equation (dy)/(dx)=(x+1)...

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  3. Find the general solution of the differential equation (dy)/(dx)=(1+y^...

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  4. Find the particular solution of the differential equation (dy)/(dx)=-4...

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  5. Find the equation of the curve passing through the point (1,1) whose d...

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  6. Find the equation of a curve passing through the point (-2,3), given t...

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  7. In a bank, principal increases continuously at the rate 5 % per year. ...

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  8. (dy)/(dx)=(1-cos x)/(1+cos x)

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  9. Find the general solution of the following differential equations (d...

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  10. Integrate the following: (dy)/(dx)+y=1, (y ne 1)

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  11. Find the general solution of the differential equation sec^2xtan ydx...

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  12. (e^x+e^(-x)) d y-(e^x-e^(-x)) d x=0

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

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  14. y log y d x- x d y=0

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  15. x^5 (dy)/(dx)=(-y)^5'

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  16. Find the general solution of (dy)/(dx)=sin ^-1 x

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  17. e^x tan y d x+(1-e^x) (sec ^2 y) d y=0

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  18. Find a particular solution satisfying the given condition.(x^3+x^2+x...

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  19. For the following differential equation find a particular solution sat...

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  20. cos ((dy)/(dx))=a, (a in R) , y=1, when x=0

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