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

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

A

`tan y =c (1-e^x)^3`

B

`(1-e^x)^3 tan y =c `

C

tan y =c `(1-e^x)`

D

`(1-e^x)tan y=c `

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  2. The general solution of the differential equation y dx +(1+x^2) tan^(...

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

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

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

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

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

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

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

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

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

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

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  14. The solution of (cosec x log y ) dy + (x^2y)dx=0 is

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  15. The solution of the differential equaton (dy)/(dx)=(x log x^(2)+x)/...

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  16. The solution of the differential equation cos y log (sec x + tan x)dx=...

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  17. The solution of the equation sqrt(a+x) dy/dx + x =0 is

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  18. The general solution of the differential equation (1+x y)y dx+x(1-x y)...

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  19. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...

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  20. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

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