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True or false: The general solution of t...

True or false:
The general solution of the differential equation `(dy)/(dx)-y=0` is `y=Ce^-x`.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. True or false: The general solution of the differential equation x(dy)...

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

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

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

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

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

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

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  8. Match the statements in column I with those given in column II.

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  9. The order of the differential equation (d^4y)/(dx^4)+((dy)/(dx))^3-y(d...

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  10. The degree of the differential equation (d^3y)/(dx^3)+((d^2y)/(dx^2))^...

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  11. Degree of the differential equation (d^2y)/(dx^2)sin((dy)/(dx))=cos^3y...

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  12. Degree of the differential equation log((dy)/(dx))^2=2x+7y is

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  13. The degree of the differential equation (d^2y)/(dx^2)+x((dy)/(dx))^2=2...

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  14. The degree of the differntial equation (1+(dy)/(dx))^3=((d^2y)/(dx^2))...

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  15. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

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  16. The degree of the differential equation ((d^2y)/(dx^2))^5+((dy)/(dx))^...

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  17. The order of the differential equation of all circles of given radius ...

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  18. The order and degree of the differential equation (d^(2)y)/(dx^(2))+((...

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  19. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

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  20. Solve the differential equations: (d^2y)/(dx^2)=0.

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