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The solution of e^(dy//dx) = (x+1) , u ...

The solution of `e^(dy//dx) = (x+1) , u (0) = 3 ` is

A

y=x log x-x +2

B

y=(x+1)log (x+1)-x+3

C

y=(x+1)log (x+1)+x+3

D

y=x log x +x + 3

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

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  2. The solution of y'-y = 1 , y(0)=-1 is given by y(x) =

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  3. The solution of e^(dy//dx) = (x+1) , u (0) = 3 is

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  4. The solution of (dy)/(dx)+1 = e^(x+y) is

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  5. Solution of the equation : sin^(-1)((dy)/(dx))=x+y is

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

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

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

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

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

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

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

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

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

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

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

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  17. Which of the following equation is linear ?

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

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

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

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