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The solution of (x d d+y dy)/(x dy-y dx)...

The solution of `(x d d+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2))` is (a) `( b ) (c)sqrt(( d ) (e) (f) x^(( g )2( h ))( i )+( j ) y^(( k )2( l ))( m ) (n))( o )=sin{( p ) (q)tan^(( r ) (s)-1( t ))( u )(( v ) (w) (x) y/( y ) x (z) (aa) (bb))+C}( c c )` (dd) (ee) `( f f ) (gg)sqrt(( h h ) (ii) (jj) x^(( k k )2( l l ))( m m )+( n n ) y^(( o o )2( p p ))( q q ) (rr))( s s )=cos{( t t ) (uu)tan^(( v v ) (ww)-1( x x ))( y y )(( z z ) (aaa) (bbb) y/( c c c ) x (ddd) (eee) (fff))+C}( g g g )` (hhh) (iii) `( j j j ) (kkk)sqrt(( l l l ) (mmm) (nnn) x^(( o o o )2( p p p ))( q q q )+( r r r ) y^(( s s s )2( t t t ))( u u u ) (vvv))( w w w )=(tan{s i (xxx) n^(( y y y ) (zzz)-1( a a a a ))( b b b b )(( c c c c ) (dddd) (eeee) y/( f f f f ) x (gggg) (hhhh) (iiii))+C}( j j j j )` (kkkk) (llll) `( m m m m ) (nnnn) y+xtan(( o o o o ) (pppp) c+( q q q q ) (rrrr)sin^(( s s s s ) (tttt)-1( u u u u ))( v v v v )sqrt(( w w w w ) (xxxx) (yyyy) x^(( z z z z )2( a a a a a ))( b b b b b )+( c c c c c ) y^(( d d d d d )2( e e e e e ))( f f f f f ) (ggggg))( h h h h h ) (iiiii))( j j j j j )` (kkkkk)

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A DAS GUPTA-Differential Equation of the First Order-Exercise
  1. Solve xdy=y(xy+1)dx

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  2. The solution of xdx + ydy + (x^2 + y^2)dy = 0

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  3. The solution of (x d d+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) i...

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  4. Solution of the differential equation y cos\ y/x (x dy-y dx)+xsin\ y/x...

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  5. Find the paricular solution of the equation ydy/dxsinx=cosx(sinx-y^2/2...

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  6. Solve (dy/dx)^2-(e^x+e^-x)dy/dx+1=0

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  7. Solve (dy/dx)^2+2xdy/dx=3x^2

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  8. Solve xy{(dy/dx)^2-1}=(x^2-y^2)dy/dx

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  9. Solve x{(dy/dx)^2+dy/dx}=y

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  10. Solve y=2px+y^2p^3 where p=dy/dx

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  11. Obtain all the solutions of (y+1)(dy/dx)+2=x(dy/dx)^2

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  12. solve the differential equationx(d^2y)/dx^2+dy/dx=0.

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  13. Reduce the differential equation (d^2y)/dx^2-2 dy/dx+y=xe^x using the ...

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  14. A radioactive substance is subject to the law of natural decay (dv)/(d...

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  15. A country has a food deficit of 10%. Its population grows continuously...

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  16. Show that the equation of the curve passing through the point (1,0) an...

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  17. Prove that the equation of a curve whose slope at (x,y) is -(x+y)/x an...

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  18. Find the equation of the curve such that the square of the intercept c...

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  19. Find the curves for which the length of normal is equal to the radius ...

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  20. Find the cartesian equation of the curves for which the length of the ...

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