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F(x,y)=(x^(2)+y^(2))/(x-y) is a homogene...

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

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. True or false: Order of the differential equation of the family of all...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. True or false: x+ytan^-1y is a solution of the differential equation y...

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  15. True or false: The differential equation (d^2x)/(dy^2)=0 represents a ...

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  16. Number of arbitrary constants in the particular solution of a differen...

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  17. Form the differential equation of the family of circles having their c...

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  18. The differential equation representing the family of circles x^(2)+(y-...

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  19. Form a differential equation representing the given family of curves b...

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  20. show: The solution of (dy)/(dx)=(y/x)^(1/3) is y^(2/3)-x^(2/3)=c.

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