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Find the differential equation from y = ...

Find the differential equation from `y = e^x (A cos x + B sin x)`, where A and B are arbitrary constants.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. y=ae^(2x)+be^(-3x), a and b being arbitrary constants.

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  2. In each of the following cases, from the differential equation by elim...

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  3. Find the differential equation from y = e^x (A cos x + B sin x), where...

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  4. y^2=m(n^2-x^2),m,n are arbitray constants.

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  5. y=ae^x+be^(2x)+ce^(3x), a,b,c are arbitrary constants.

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  6. ae^(3x)+be^(7x)+ce^(2x), a,b,c are arbitrary constants.

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  7. x^2+y^2+2ax+2by+c=0, a,b,c are arbitrary constants.

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  8. Ax^2+By^2=1, A and B are arbitrary constants.

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  9. Obtain the differential equation of each of the following families of ...

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  10. Obtain the differential equation of each of the following families of ...

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  11. Obtain the differential equation of each of the following families of ...

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  12. Obtain the differential equation of each of the following families of ...

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  13. Form the differential equation of the family of circles in the first q...

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  14. Obtain the differential equation of each of the following families of ...

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  15. Obtain the differential equation of each of the following families of ...

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  16. Form the differential equation of simple harmonic motion given by x=Ac...

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  17. A spherical rain drop evaporates at a rate proportioanl to its surface...

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  18. The differential equation of all parabolas having their axes of symmet...

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  19. Show that the differntial equation that represents all parabolas each...

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  20. Find the differntial equation of all circles which pass through the or...

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