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Find the general solution of following d...

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

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The correct Answer is:
`xe^(tan^(-1) y) = (1)/(2) e^(2) tan^(-1) y + C`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Find the particular solution of following differential equations log...

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  2. Find the particular solution of following differential equations log...

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  3. Find the general solution of following differential equations ( 1+y^...

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  4. Find the particular solution of following differential equations xdx...

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  5. Find the general solution of following differential equations x log ...

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  6. Find the general solution of following differential equations x (dy)...

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  7. Find the particular solution of following differential equations x(d...

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  8. Find the general solution of following differential equations (dy)/(...

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  9. Form the differential equation representing the family of parabolas ha...

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  10. Form the differential equation representing the family of ellipses hav...

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  11. Solve the following differential equations (dy)/( dx) = sqrt(4 - y^2...

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  12. Solve the following differential equations (dy)/( dx) = ( x+1)/( 2-y...

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  13. Solve the following differential equations (x^2 + xy ) dy = ( x^(2) ...

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  14. Show that the given differential equation is homogeneous and solve it:...

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  15. Find the differential equation from the equation : y=e^x(a cos 2x +b s...

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  16. Solve the following differential equations at its initial values x (...

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  17. Solve the following differential equations at its initial values (1 ...

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  18. Solve the differential equation, (3xy + y^2) dx = (x^2 + xy)dy

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  19. Find the general solution of the following (x^2 + xy ) dy +( 3xy + y...

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  20. Find the general solution of the following x (dy)/( dx) + y = x log ...

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