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Solve the following differential equatio...

Solve the following differential equations.(3)`(1+y^2)dx=(tan^-1y-x)dy`

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The normal lines to a given curve at each point (x,y) on the curve pas...

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  2. Solve the following differential equations.(2)x sin x dy/dx+(x cos x+s...

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

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  4. Solve the following differential equations.(5)(x+y)dy/dx=1

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

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  6. Find the equation of the curve passing through the origin.given that t...

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  7. In a certain culture of bacteria the rate of increase in proportional ...

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  8. If the population of a country doubles in 60 years,in how many years w...

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  9. If a body cools from 80^@C to 50^@ C at room temperature of 25^@ C in ...

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  10. The rate of growth of bacteria is proportional to the number present.I...

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  11. The rate of disintegration of a radioactive element at any time t is p...

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  12. The rate of decay of certain substance is directly proportional to the...

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  13. Find the population of a city at any time t,given that the rate of inc...

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  14. A body cools according to Newton's law from 100^@ C to 60^@ C in 20 mi...

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  15. A right circular cone has height 9 cms and radius of the base 5 cms.It...

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  16. Assume that a spherical raindrop evaporates at a rate proportional to ...

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  17. The rate of growth of the population of a city at any time t is propor...

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  18. Radium decomposes at the rate proportional to the amount present at an...

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  19. The volume of spherical ballon being inflated changes at a constant ra...

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  20. A person assets start reducing in such a way that the rate od reductio...

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