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Solve the following differential equatio...

Solve the following differential equations
`(1+x^(2))xydy=(1+y^(2))dx`

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NAGEEN PRAKASHAN-DIFFERENTIAL EQUATIONS-Exercise 9d
  1. Solve the following differential equations (dy)/(dx)=-sqrt((1-y^(2))...

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  2. Solve the following differential equations (dy)/(dx)=e^(x-y)+x^(3)*e...

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  3. Solve the following differential equations (1+x^(2))xydy=(1+y^(2))dx

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  4. Solve the following differential equations x^(2)(y+1)dx+y^(2)(x-1)dy...

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

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  6. Solve the following differential equations sqrt(a+x)(dy)/(dx)+x=0

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  7. Solve the following differential equations x cos^(2)ydx=ycos^(2)x dy

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  8. Solve the following differential equations (dy)/(dx)*xy^(2)(1+x^(2))...

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  9. Solve the following differential equations (dy)/(dx)=1+x+y+xy

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  10. Solve the following differential equations log((dy)/(dx))=ax+by

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  11. Solve the differential equation (x y^2+x)dx+(y x^2+y)dy=0

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  12. Solve the following differential equations y sec^(2)x dx+(y+7)tanx d...

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  13. Solve the following differential equations (dy)/(dx)=tan^(-1)x

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  14. Solve the following differential equations (dy)/(dx)=x*e^(x)

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  15. Find the particular solution of the differential equation (1+x^(2))sec...

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  16. Find the particular solution of the differential equation (1+e^(2x))dy...

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  17. Find the particular solution of the differential equation (1+y^(2))(1+...

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  18. Find the equation of a curve, passes through (-2,3) at which the slope...

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  19. Find the equation of a curve, passes through (0,-2), for which the pro...

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  20. In a bank principal increases at the rate of r% per year. Find the ...

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