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A curve passing through (2,3) and sat...

A curve passing through `(2,3)` and satisfying the differential equation `int_0^x ty(t)dt=x^2y(x),(x >0)` is (a) `( b ) (c) (d) x^(( e )2( f ))( g )+( h ) y^(( i )2( j ))( k )=13 (l)` (m) (b) `( n ) (o) (p) y^(( q )2( r ))( s )=( t )9/( u )2( v ) (w) x (x)` (y) (c) `( d ) (e) (f)(( g ) (h) x^(( i )2( j ))( k ))/( l )8( m ) (n)+( o )(( p ) (q) y^(( r )2( s ))( t ))/( u )(( v ) 18)( w ) (x)=1( y )` (z) (d) `( a a ) (bb) x y=6( c c )` (dd)

A

`x^2 +y^2 =13`

B

`y^2 =9/2x`

C

`x^2/8 +y^2/18 =1`

D

xy =6

Text Solution

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The correct Answer is:
D
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
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  5. If inta^x ty(t)dt=x^2+y(x), then find y(x)

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  8. The equation of the curve passing through origin and satisfying the di...

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  9. passes through a curve point (1,pi/4) and at some point Its gradation ...

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

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  13. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  14. The solution of the differential equation, e^x(x +1)dx + (ye^y -xe^x)d...

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

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

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

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

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

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

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