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True or false: y=asinx+bcosx, a in R, i...

True or false:
`y=asinx+bcosx`, `a in R`, is the general solution of the differential equation `(d^2y)/(dx^2)+y=0`.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Integrating factor of the differential equation (dy)/(dx)-y=cosx is .....

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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