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True or false: x+ytan^-1y is a solution ...

True or false:
`x+ytan^-1y` is a solution of the differential equation `y^2(dy)/(dx)+y^2+1=0`.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. True or false: y=13e^x+4e^-x is a particular solution of the different...

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

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

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

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

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

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

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

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

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  10. True or false: Differential equation of the family of rectangular hype...

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  11. True or false: Solution of the differential equation (dx)/(dy)+P1x=q1,...

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  12. True or false: Differential equation of the family of all circles of r...

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  13. show: The solution of the differential equation (dy)/(dx)=(x+2y)/x is ...

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  14. True or false: The general solution of the differential equation x(dy)...

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  15. True or false: The general solution of the differential equations (dy)...

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  16. True or false: The general solution of the differential equation (dy)/...

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  17. True or false: A differential equation of the form (dy)/(dx)=g(x,y) wh...

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  18. True or false: An integrating factor for the differential equation (dx...

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  19. True or false: y(secx+tanx)=secx+tanx-x+108 is a particular solution o...

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  20. Solve the differential equations: (x+y)(dx-dy)=dx+dy

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