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The solution of the differential equatio...

The solution of the differential equation `x^2(dy)/(dx)cos1/x-ysin1/x=-1,` where `vec-1` as`xvecoo` is (a) `( b ) (c) y=sin( d )1/( e ) x (f) (g)-cos( h )1/( i ) x (j) (k) (l)` (m) (b) `( n ) (o) y=( p )(( q ) x+1)/( r )(( s ) xsin( t )1/( u ) x (v) (w))( x ) (y) (z)` (aa) (c) `( d ) (e) y=cos( f )1/( g ) x (h) (i)+sin( j )1/( k ) x (l) (m) (n)` (o) (d) `( p ) (q) y=( r )(( s ) x+1)/( t )(( u ) xcos( v )1/( w ) x (x) (y))( z ) (aa) (bb)` (cc)

A

`y = sin 1/x -cos1/x`

B

`y =x+1/xsin1/x`

C

`y = cos 1/x +sin1/x`

D

`y =x+1/xcos1/x`

Text Solution

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The correct Answer is:
A
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
  1. The solution of the differential equation, e^x(x +1)dx + (ye^y -xe^x)d...

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  2. The solution of y^5x+y-x dy/dx=0 is

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  3. The solution of the differential equation x^2(dy)/(dx)cos1/x-ysin1/x=-...

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  4. The solution of (dy)/(dx) + y tan x = sec x is

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  5. Solution of the differential equation (dy)/(dx)+ytanx=x^(n)cosx is

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  6. (dy)/(dx)+(3x^2)/(1+x^3)y=(sin^2x)/(1+x^3)

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

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  8. Solve the differential equation (y^2+x^2)dx=(x^2+xy)dy

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  9. Find the particular solution of (cos x – x sin x +y^2)dx + 2xy dy = 0 ...

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  10. Orthogonal trajectories of family of the curve x^(2/3)+y^2/3=a^((2/3))...

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  11. The curve in the first quadrant for which the normal at any point (...

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  12. A curve C passes through origin and has the property that at each poin...

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  13. Water is drained from a vertical cylindrical tank by opening a valv...

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  14. If y=x/(In|cx|) (where c is an arbitrary constant) is the general solu...

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  15. Number of straight lines which satisfy the differential equation (dy)/...

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  16. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

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

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  18. The differential equation (d^2y)/dx^2+x dy/dx+siny+x^2=0, is which of...

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  19. Let y = (A + Bx) e^(3x) is a solution of the differential equation(d^2...

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  20. y=a e^(-1/x)+b is a solution of (dy)/(dx)=y/(x^2), then (a) ( b ...

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