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Identify the statement(s) which is/are t...

Identify the statement(s) which is/are true. (a) ` f( x , y )= e^( y/ x )+tan y/ x` is a homogeneous of degree zero. (b)` xln y/ x dx+ y^(2)/ x *sin^-1(y/ x ) dy=0` is a homogeneous differential equation. (c)`f( x ,y )= x^(2)+sinx cosy` is a non homogeneous. (d)`( x^(2)+ y^(2))dx-(x y^(2)-y^(3))dy=0` is a homogeneous differential equation.

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  11. The solution of (x^2dy)/(dx)-x y=1+cos(y/x) is

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  12. The solution of (x+y+1)dy=dx is

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

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  14. The slope of the tangent at (x , y) to a curve passing through (1,...

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  15. The solution of (x^(2)+xy)dy=(x^(2)+y^(2))dx is

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  17. The solution of (y+x+5)dy=(y-x+1)dx is

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  19. The slope of the tangent at (x , y) to a curve passing through a p...

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