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The general solution of the differential...

The general solution of the differential equation
`(2x - y + 1) dx + (2y - x +1)dy = 0` is...

A

`x^(2)-y^(2)+2xy-x+y = c`

B

`x^(2)-y^(2)-2xy+x-y = c`

C

`x^(2)+y^(2)+xy-x+y = c`

D

`x^(2)+y^(2)-xy+x+y = c`

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. Form the differential equation of the family of circles touching the y...

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  3. The general solution of the differential equation (2x - y + 1) dx + (2...

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  4. The solution of the differential equation e^(-x)(y+1)dy+(cos^(2)x -sin...

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  5. The general solution of the differential equation (e^(x)+1)y dy = (y+1...

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  6. The differential equation of the family of straight lines whose slope ...

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  7. The order and degree of the differential equation [1 + (dy/(dx))^(5)]^...

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  8. A particular solution of dy/dx = (x+9y)^(2) when x=0, y = 1/27 is

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  9. The order and degree of the differential equation (1+3(dy)/(dx))^(2//3...

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  10. The differential equation of all non - vertical lines in a plane is :

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  11. The solution of the equation (d^2y)/(dx^2)=e^(-2x) is :

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  12. The degree and order of the differential equation of the family of all...

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  13. The solution of the differential equation : y dx +(x+x^2y)dy=0 is :

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  14. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

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  15. The differential equation representing the family of curves y^2=2c(x+s...

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  16. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1 then y (pi/2) e...

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  17. The solution of 2xy dy/dx =1+y^(2) is

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  18. If c is a parameter, then the differential equation whose solution is ...

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  19. Solution of x^(2)+y^(2) dy/dx = 4 is

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  20. The family of curves in which the subtangent at any point to any curve...

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