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Find the particular solution of the following differential equations.`dy/dx-3ycot x=sin 2x,y(pi/2)=2`

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the following differential equations4 dy/dx+8x=5.e^(-3y)

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

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  3. Find the particular solution of the following differential equations.d...

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  4. The normal lines to a given curve at each point (x,y) on the curve pas...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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