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The solution of the differential equatio...

The solution of the differential equation `(x+(x^3)/(3!)+(x^5)/(5!)+)/(1+(x^2)/(2!)+(x^4)/(4!)+)=(dx-dy)/(dx+dy)i s` (a) `( b ) (c)2y( d ) e^(( e ) (f)2x (g))( h )=C( i ) e^(( j ) (k)2x (l))( m )+1( n )` (o) (p) `( q ) (r)2y( s ) e^(( t ) (u)2x (v))( w )=C( x ) e^(( y ) (z)2x (aa))( b b )-1( c c )` (dd) (ee) `( f f ) (gg) y( h h ) e^(( i i ) (jj)2x (kk))( l l )=C( m m ) e^(( n n ) (oo)2x (pp))( q q )+2( r r )` (ss) (d) None of these

A

`2yr^(2x) =Ce^(2x) + 1`

B

`2ye^(2x) = Ce^(2x) - 1`

C

`ye^(2x) = Ce^(2x) + 2`

D

None of these

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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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