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Solution of the differential equation ...

Solution of the differential equation
`(1+y^(2))+(x-e^(tan^(-1)y))(dy)/(dx)=0` is :

A

`(x-2)=ke^(-tan^(-1)y)`

B

`2x e^(tan^(-1)y)=e^(2tan^(-1)y)+k`

C

`x e^(tan^(-1)y)=tan^(-1)y+k`

D

`x e^(2tan^(-1)y)=e^(tan^(-1)y)+k`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-DIFFERENTIAL EQUATIONS-Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2) is

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  2. Solution of the differential equation (1+y^(2))+(x-e^(tan^(-1)y))(d...

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  3. Solution of the differential equation ((dy)/(dx))-(y)/(x)=2x^(2)+3x+4...

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  4. The solution of differential equation (dy)/(dx)+(y)/(x)=sin x is

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  5. Solution of the differential equation (dy)/(dx) +y cot x =2 cos x ...

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  6. Solution of the differential equation (1+y^(2))dx =(tan^(-1)y-x)dy...

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  7. Solution of the differential equation (1+x^(2)) (dy)/(dx)+y=tan^(-1)x...

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  8. Solution of the differential equation 2y sin x (dy//dx)=2 sin x cos ...

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  9. The Solution of the equation (dy)/(dx)+2y=sin x is

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  10. The Solution of the equation (dy)/(dx)+y tan x =sec x is

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  11. The Solution of the equation x log x (dy)/(dx) +y = 2 log x is

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  12. Solution of the differential equation x(dy)/(dx)+2y=x^(2)logx is

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  13. The Solution of the equation (1+x^(2)) (dy)/(dx)+2xy -4x^(2)=0

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  14. The solution of differential equation (dy)/(dx)-3y= sin 2x is

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  15. The solution of the equation (dy)/(dx)+3y=cos^(2)x is

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  16. The gradient of the curve passing through (4,0) is given by (dy)/(dx) ...

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  17. Solution of the differential equation sin2x (dy)/(dx) -y=tan x is

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  18. The Solution of the differential equation (dy)/(dx) +(1)/(x)tan y =(1...

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  19. Solution of the equation (dy)/(dx) = e^(x-y) (e^(x)-e^(y)) is equal t...

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  20. If y(t) is solution of (t+1)(dy)/(dt) -ty =1, y(0)= -1. At t = 1 the s...

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