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True or false: The function F(x,y)=ysin(...

True or false:
The function `F(x,y)=ysin(y/x)-x` is a homogenous function of degree 1.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. True or false: Order of the differential equation (dy)/(dx)+ytanx=x^2 ...

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  2. Degree of differential equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(2)=0 is...

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  3. True or false: The function F(x,y)=ysin(y/x)-x is a homogenous functio...

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  4. True or false: The differential equation (dy)/(dx)=(ycos(y/x)+xsinx(y/...

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  5. F(x,y)=(ycos(y/x)+x)/(x cos (y/x)) is not a homiogeneous function.

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  6. (dy)/(dx)+y=5 is a differential equation of the type (dy)/(dx)+Py=Q bu...

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  7. Order of the differential equation representing the family of ellipse ...

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  8. True or false: Order of the differential equation of the family of all...

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  9. True or false: Order of the differential equation of the family of all...

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  10. F(x,y)=(x^(2)+y^(2))/(x-y) is a homogeneous function of degree 1.

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  11. Degree of the differential equation sqrt(1+(d^(2)y)/(dx^(2)))=x+(dy)/(...

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  12. (dy)/(dx)+y=5 is a differential equation of the type (dy)/(dx)+Py=Q bu...

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  13. Integrating factor of the differential equation (dy)/(dx)-y=cosx is .....

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  14. True or false: y=3sinx+4cosx is a particular solution of the differen...

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  15. True or false: y=asinx+bcosx, a in R, is the general solution of the ...

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  16. True or false: y=x is a particular solution of the differntial equati...

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  17. The general solution of the differential equation (dy)/(dx)+ysecx=tanx...

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  18. True or false: A homogenous differntial equation can be solved by the ...

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  19. True or false: y=13e^x+4e^-x is a particular solution of the different...

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  20. The general solution of the differential equation x(1+y^(2))dx+y(1+x^(...

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