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Solve the following differential equatio...

Solve the following differential equation: `(1+y^2)tan^(-1)dx+2y(1+x^2)dy=0`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find dy/dx if y(1-x^2)=6

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  2. Find dy/dx if y= 2x+3y

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  3. Solve the following differential equation: (1+y^2)tan^(-1)dx+2y(1+x^2)...

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  4. Solve the following initial value problem: (dy)/(dx)=y \ tan2x ,\ y(0)...

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  5. Solve the following initial value problem: x y(dy)/(dx)=y+2,\ y(2)=0

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  6. Solve the following initial value problem: (d r)/(dt)=\ -r t ,\ r(0) =...

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  7. Solve the following initial value problem: (dy)/(dx)=ytanx ,\ y(0)=1

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  8. Find: (dy)/(dx) if 2e^(2x)+y^2=6

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  9. Find dy/dx if 2x+sinx=y

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  10. Find(dy)/(dx) if 1+x^2+y^2=9

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  11. Solve the following initial value problem: x y(dy)/(dx)=(x+2)(y+2),\ y...

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  12. Solve the following initial value problem: (dy)/(dx)=1+x+y^2+xy^2 when...

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  13. Solve the following initial value problem:2(y+3)-xy(dy)/(dx)=0, y(1)=...

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  14. Solve the following initial value problem: 2x(dy)/(dx)=3y ,\ y(1)=2

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  15. Solve the following initial value problem: (dy)/(dx)=2e^x y^3,\ y(0)=1...

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  16. Solve the following initial value problem: (dy)/(dx)=ysin2x ,\ y(0)=1

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  17. Solve the following initial value problem: (dy)/(dx)=ysin2x ,\ y(0)=1

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  18. Solve the following initial value problem: 2x(dy)/(dx)=5y ,\ y(1)=1

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  19. Solve the following initial value problem: cosy(dy)/(dx)=e^x ,\ y(0)=p...

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  20. Solve the differential equation x(dy)/(dx)+coty=0, given that y=pi/4 ,...

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