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The solution to the differential equatio...

The solution to the differential equation `ylogy+x y^(prime)=0,` where `y(1)=e ,` is (a) `( b ) (c) x(logy)=1( d )` (e) (b) `( f ) (g) x y(logy)=1( h )` (i) (c) `( d ) (e)(logy)hat2=2( f )` (g) (d) `( h ) (i)logy+(( j ) (k) (l)(( m ) (n) x^(( o )2( p ))( q ))/( r )2( s ) (t) (u))y=1( v )` (w)

A

`x(lny) =1`

B

`xy(lny) =1`

C

`(lny)^2` =2

D

`lny + (x^2/2)y =1`

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The correct Answer is:
A
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MOTION-DIFFERENTIAL EQUATION -Exercise 1
  1. The differential equation representing all line at a distance p from t...

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  2. If y =e^((k+1)x) is a solution of differential equation d^2y/dx^2 -4dy...

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  3. The solution to the differential equation ylogy+x y^(prime)=0, where y...

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  4. Solve: (xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx

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  5. The solution of the differential equation dy =sec^2x dx is -

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

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  7. The general solution of the differential equation, y^(prime)+yvarph...

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

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  9. The general solution of x(dy)/(dx)=y-xtan((y)/(x)) is . . . .

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  10. x(dy)/(dx)=y(logy-logx+1)

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

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  12. The solution of the equation x(dy)/(dx) +3y=x is

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  13. The solution of the differential equation (1+y^(2)) dx = (tan^(-1) ...

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  14. The solution of the differential equation (2x -10 y^3) dy/dx +y =0 is

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  15. The solution of the differential equation dy/dx +y =cosx is -

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

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  17. Number of values of m in N for which y=e^(mx) is a solution of the dif...

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  18. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

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  19. The general solution of the differential equation dy/dx = (1-x)/y is a...

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  20. Solve sec^(2)x tany dx+sec^(2)y tanx dy=0

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