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The solution for the differential equati...

The solution for the differential equation `(dy)/(y)+(dx)/(x)=0` is

A

log x . log y = c

B

1/x + 1/y = c

C

x+y = c

D

xy = c

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Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. Which of the following functions is a solution of the differential equ...

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  3. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

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  4. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

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  5. The general solution of the differential equation dy/dx + (1+ cos 2y)/...

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  6. The degree of the differential Equation (1+((dy)/(dx))^(2))^(3//4)=(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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