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The I.E. of (1+y^(2))dx=(tan^(-1)y-x)dy ...

The I.E. of `(1+y^(2))dx=(tan^(-1)y-x)dy` is ___________.

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The correct Answer is:
`e^(tan^(-1)y)(tan^(-1)y-1)+c`
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FULL MARKS-ORDINARY DIFFERENTIAL EQUATIONS -ADDITIONAL PROBLEMS
  1. Solve (1-x)^(2))(dy)/(dx)+2xy=xsqrt(1-x^(2))

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  2. Solve (x+1)(dy)/(dx)-y=e^(x)(x+1)^(2)

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  3. The I.E. of (1+y^(2))dx=(tan^(-1)y-x)dy is .

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  4. dx+xdy = e^(-y)sec^(2)ydy

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  5. In a certain chemical reaction the rate of conversion of a susbtance ...

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  6. The temperature T of a cooling object drops at a rate proportional to...

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  7. The sum of Rs 1000 is compounded continously the nominal rate of inte...

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  8. A cup of coffee at temperature 100^@C is placed in a room whose temper...

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  9. The rate at which the population of a city increases at any time is pr...

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  10. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  11. If cos x is an integrating factor of the differntial equation (dy)/(dx...

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  12. dx+xdy = e^(-y)sec^(2)ydy

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  13. The integrating factor of (dy)/(dx)+(1)/(xlogx)y= (2)/(x^(2)) is :

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  14. Solution of (dx)/(dy)+mx=0 where m lt 0 is

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  15. y=cx-c^(2) is the general solution of the differential equation.

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  16. Find the differential equation of the family of (i) all non- vertical ...

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  17. The differential equation of all circles with centre at the origin i...

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  18. The differential equation of the family of lines y = mx is :

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

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  20. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

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