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The solution of the differential equatio...

The solution of the differential equation `x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/d)^2+(x^3y^3)/(3!)((dy)/(dx))^3+ i s` (a) `( b ) (c) y=1n(( d ) x (e))+c (f)` (g) (b) `( h ) (i) (j) y^(( k )2( l ))( m )=( n ) (o)(( p ) (q)1nx (r))^(( s )2( t ))( u )+c (v)` (w) (c) `( d ) (e) y=logx+x y (f)` (g) (d) `( h ) (i) x y=( j ) x^(( k ) y (l))( m )+c (n)` (o)

A

`y = log x + C`

B

`y^(2) = (log x )^(2) + C`

C

`y = log x + xy`

D

`xy = x^(y) + C`

Text Solution

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The correct Answer is:
B
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BITSAT GUIDE-DIFFERENTIAL EQUATIONS-BITSAT ARCHIVES
  1. The form of the differential equation of the central conics ax^(2) + b...

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  2. The solution of the differential equation (x+(x^3)/(3!)+(x^5)/(5!)+)/...

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

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  4. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  5. By eliminating the arbitrary constant A and B from y = Ax^(2)+Bx we g...

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  6. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

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  7. The differential equation of all non-vertical lines in a plane, is

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  8. The solution of dy/dx=(alphax+g)/(by+f) represents a circle, when

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  9. the equation of the curve satisfying the equation (xy - x^(2)) (dy)/(d...

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  10. The solution of the differential equation (dy)/(dx) = (xy + y)/(xy +x)...

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

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  12. The solution of the differential equation (dy)/(dx)-y tan x=e^(x)sec x...

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

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  14. Which one of the following differential equation represents the system...

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  15. The general solution of the differential equation (2x - y + 1) dx + (...

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  16. The degree of the differential equation y(x) = 1 + (dy)/(dx) + (1)/(1*...

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  17. The solution of x^(2) +y^(2) - 2xy (dy)/(dx) = 0 is

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