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dx + dy = (x+y) (dx-dy) implies log (x+y...

`dx + dy = (x+y) (dx-dy) implies log (x+y) =`

A

x+y+c

B

x+2y+c

C

x-y+c

D

2x+y+c

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. Solution of dy/dx = (x log x^(2) + x)/(sin y + y cos y) is

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  3. dx + dy = (x+y) (dx-dy) implies log (x+y) =

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  4. The equation of a curve passing through the origin and satisfying the...

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  5. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

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  6. The differential equation y(dy)/(dx)+x=c represents

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  7. The general solution of ydx-xdy-3x^(2)y^(2)e^(x^(3)) dx =0 is

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  8. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

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  9. The differential equation of the family of lines passing through the o...

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  10. The degree of the differential equation (d^(2)y)/(dx^(2)) + (dy/dx)^(3...

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  11. The solution of the equation (2y-1) dx- (2x+3)dy =0 is

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  12. The solution of the differential equation cosx siny dx + sin x cos y d...

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  13. Find the general solution of the differential equation (dy)/(dx) = (1 ...

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  14. The differential equation of the family of curves y^(2) = 4a(x+a) is

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  15. Solution of dy/dx + 2xy=y is

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  16. The solution of the differential equation xsqrt(1-y^(2)) dx+y sqrt(1-x...

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  17. The solution of log (dy/dx) = ax + by is

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  18. Solution of differential equation (sin x + cos x)dy + ( cos x - sin x)...

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  19. Equation of the curve whose slope is (y-1)/(x^(2)+x) and which passes ...

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  20. x" "dy=y" "dx +y^2and y(1) =1 , then y (-3) is equal to :

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