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Obtain the differential equation by eliminating the arbitrary constants from the following equation.(i)`y=Ae^(3x)+Be^(-3x)`

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Form the differential equation of (i)all circles which pass through th...

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  2. Show that the general solution of all the differential equation dy/dx+...

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  3. Obtain the differential equation by eliminating the arbitrary constant...

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  4. Obtain the differential equation by eliminating the arbitrary constant...

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  5. Find the differential equation of the family of circles having their c...

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  6. In each of the following examples verify that its given expression is ...

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  7. In each of the following examples verify that its given expression is ...

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  8. In each of the following examples,verify that the given function is a ...

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  9. In each of the following examples,verify that the given function is a ...

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  10. In each of the following examples,verify that the given function is a ...

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  11. In each of the following examples,verify that the given function is ...

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  12. In each of the following examples,verify that the given function is a ...

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  13. Solve the following differential equations.(i)log(dy/dx)=2x+3y

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  14. Solve the following differential equations.dy/dx=x^2y+y

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  15. Solve the following differential equation (1)dy/dx=(1+y^2)/(1+x^2)

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  16. Solve the following differential equation (2)log(dy/dx)=2x+3y

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  17. Solve the following differential equation (3)y-x dy/dx=0

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  18. Solve the following differential equation (4)sec^2xtany dx+sec^2 y tan...

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  19. Solve the following differential equation (5)(x+1)dy/dx-1=2e^(-y),when...

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  20. Solve the following differential equation (6)cos x cos y dy-sin x sin ...

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