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

The solution of dy//dx=cos(x+y)+sin(x+y), is given by

A

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

B

`1/2|tan^(-1)("x+y+1"/2)|=x+c`

C

`tan^(-1)("x+y+1"/2)=x+c`

D

`1+tan^(-1)("x+y"/2)=x+c`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. Solution of the equation : sin^(-1)((dy)/(dx))=x+y is

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  2. The solution of the differential of the differential equation (dy)/...

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  3. The solution of dy//dx=cos(x+y)+sin(x+y), is given by

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  4. The solution of differential equation x^2 dy/dx=x^2+xy+y^2 is

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  5. The solution of the equation "dy"/"dx"=y/x("log"y/x+1) is

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  6. The differential equation (x + y)dx + xdy=0 is

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  7. The solution of the differential equation x+y(dy)/(dx)=2y is

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

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  9. The solution of the differential equation 2xy"dy"/"dx"=x^2+3y^2 is

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  10. The solution of the differential equation "dy"/"dx"=x/(2y-x) is

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  11. If y'=(x-y)/(x+y) , then its solution is

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  12. Which of the following equation is non-linear ?

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  13. Which of the following equation is linear ?

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  14. Integrating factor of the equation (x^2+1)"dy"/"dx"+2xy=x^2-1 is

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  15. The integrating factor of the differential equation (dy)/(dx)(x(log...

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  16. The integrating factor of the differential equation (1-x^(2))(dy)/(d...

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  17. An integrating factor of the differential equation x(dy)/(dx) +y l...

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  18. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

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  19. The solution of the differential equation (dy)/(dx)+2ycotx=3x^2cosec^2...

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  20. The solution of "dy"/"dx"+2ytan x =sin x is

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