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Solve (dy)/(dx)=sin(x+y)+cos (x+y)...

Solve `(dy)/(dx)=sin(x+y)+cos (x+y)`

A

`1+ Tan{((x+y))/(2)} = c e^(x)`

B

`1- Tan{((x+y))/(2)} = c e^(x)`

C

`1+ Tan{((x-y))/(2)} = c e^(x)`

D

`1+ Tan{((x-y))/(2)} = c e^(x)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The solution of (dy)/(dx) = sec(x+y) is

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  2. The solution of sin^(-1)((dy)/(dx)) = y + x is

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  3. Solve (dy)/(dx)=sin(x+y)+cos (x+y)

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  4. The solution of the differential equation (dy)/(dx)=sin(x+y)tan(x+y)-1...

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  5. The value of 'b' such that the solution of x = by (dy)/(dx) represents...

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  6. A curve passes through the poit (5,3) and at any point (x,y) on it the...

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  7. A curve C has the property that if the tangent drawn at any point 'P' ...

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  8. The normal to a curve at P(x,y) meets the x-axis at G. If the distance...

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  9. The normal line to a given curve at each point (x,y) on the curve pass...

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  10. If x(dy)/(dx) = y (log y - log x +1), then the solution of the equat...

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  11. The solution of (dy)/(dx) = (y^(2))/(xy - x^(2)) is

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  12. A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^...

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  13. An equation of the curve satisfying xdy - ydx = sqrt(x^(2) - y^(2))dx ...

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  14. The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y...

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

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  16. The solution of the differential equation xy' = 2xe^(-y//x) + y is

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  17. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 is

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  18. The solution of (dy)/(dx) = (x + y +1)/(x + y -1) is

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  19. The solution of the differential equation (dy)/(dx) = (x-2y +1)/(2x-4y...

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  20. The solution of cos^(2) x (dy)/(dx) + y = tan x is

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