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The solution of the differential equatio...

The solution of the differential equation `x(e^(2y)-1)dy + (x^2-1) e^y dx=0` is

A

`e^y + e^(-y) =log x - x^2/2+c`

B

`e^y-e^(-y) = log x - x^2/2+c `

C

`e^y + e^(-y) = log x + x^2/2 +c`

D

`e^y - e^(-y) = log x +x^2/2 + c `

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. Solve the following differential equation: (dy)/(dx)=(1-cos x)/(1+cosx...

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  2. Find the general solution of each of the following differential equat...

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  3. The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y ...

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  4. The solution of the differential equation x^2dy=-2xydx is

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  5. The differential equations cos y dx = x dy has solution of the form

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  6. The general solution of the differential equation (dy)/(dx)=cot x cot ...

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  7. The solution of the differential equation x sec y "dy"/"dx"=1 is

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  8. The general solution of the equation (e^y + 1)cos x dx + e^y sin x dx=...

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  9. The general solution of the differential equation y dx +(1+x^2) tan^(...

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  10. Solve : 3e^xtany dx+(1-e^x)sec^2y\ dy=0

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  11. The solution of the differential equation (sin x + cos x) dy + (cos x-...

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  12. If dy/dx=(xy + y)/(xy+x), then the solution of the differential equati...

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

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

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  15. (x-y^2x)dx=(y-x^2y)dy

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  16. Solution of the equation (1 - x^2) dy + xy dx = xy^2dx is

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  17. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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  18. Solution of the differential equation (dy)/(dx)tany=sin(x+y)+sin(x-y) ...

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  19. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

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  20. The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2...

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