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Find the general solution of each of the following differential equations:
`e^(x)sqrt(1-y^(2))dx +(y)/(x)dy=0`

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The correct Answer is:
`(x-1)e^(x)-sqrt(1-y^(2))=C`
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RS AGGARWAL-DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE-Exercise 19B
  1. Find the general solution of each of the following differential equat...

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  2. Find the general solution of each of the following differential equat...

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  3. Find the general solution of each of the following differential equat...

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  4. Find the general solution of each of the following differential equat...

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  5. Find the general solution of each of the following differential equat...

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  6. Find the general solution of each of the following differential equat...

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  7. Find the general solution of each of the following differential equat...

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  8. Find the general solution of each of the following differential equati...

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  9. Find the general solution of each of the following differential equat...

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  10. Find the general solution of each of the following differential equat...

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  11. Find the general solution of each of the following differential equat...

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  12. Find the general solution of each of the following differential equat...

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  13. Find the particular solution of the differential equation (dy)/(dx) = ...

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  14. Find the particular solution of the differential equation x(1+y^(2))dx...

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  15. Find the particular solution of the differential equation log(dy)/(...

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  16. Solve the differential equation (x^(2)-yx^(2))dy +(y^(2)+x^(2)y^(2))dx...

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  17. Find the particular solution of the differential equation e^xsqrt(1-y^...

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  18. Find the particular solution of the differential equation (dy)/(dx)=(...

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  19. Solve the differential equation (y)/(dx)=y sin 2x, " given that " y(0)...

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  20. Solve the differential equation (x+1)(dy)/(dx) =2xy, " given that " y(...

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