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Solution of the differential equation (d...

Solution of the differential equation `(dy)/(dx)=sin(x+y)+cos(x+y)` is

A

`log|1+tan((x+y)/2)|=y+c`

B

`log|2+sec((x+y)/2)|=x+c`

C

`log|1+tan(x+y)|=y+c`

D

none of these

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-DIFFERENTIAL EQUATIONS -EXERCISE LEVEL 1 Single Correct Answer Type Questions
  1. The general solution of y'=y/x+x/y(phi(y^2//x^2))/(phi'(y^2//x^2)) i...

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  2. The solution of log{:(dy)/(dx)=3x+4y,y(0)=0 is

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

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  4. The solution of (1+y+x^2y)dx+(x+x^3)dy=0 is

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  5. The equaiton of curves which intersect the hyperbola xy=4 at an angle ...

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  6. The differential equation of a curve such that the initial ordinate of...

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  7. The curve satisfying ydx-xdy+logxdx=0 (xgt0) passing through (1, -1) i...

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  8. A differential equation associated with the primitive y=a+be^(5x)+ce^(...

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  9. The differential equation of the family of circles passing through the...

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  10. Solution of the differential equation (x-y)^2(dy)/(dx)=a^2 is

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  11. Solution of the differential equation (dy)/(dx)=sin(x+y)+cos(x+y) is

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  12. Equation of the curve through the origin satisfying dy=(secx+ytanx)dx ...

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  13. The solution of (xdx+ydy)(x^2+y^2)+(xdy-ydx)=0 is

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  14. General solution of y'=e^(y//x)+y//x is

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  15. The general solution of y'+sin{:(x+y)/2=sin{:(x-y)/2 is

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  16. The order and the degree (respectively) of the differential equation r...

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  17. Let f be a real-valued on RR such that f(1)=1. If the y-intercept of t...

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  18. The curves given by 2xyy'=y^2-x^2 represent

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  19. Solution of 9yy'+4x=0 represent

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  20. The solution of initial value problem y'=-2xy, y(0)=1 represents

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