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Find the equation of the curve which pas...

Find the equation of the curve which passes through the origin and has the slope `x+3y-1` at say point (x,y) on it.

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the following differential equations.(10)(1-x^2)dy/dx+2xy=x(1-x^...

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

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  3. Find the equation of the curve which passes through the origin and has...

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  4. Find the equation of the curve which passes through the point (3/sqrt ...

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  5. The curve passes through the point (0,2) the sums of the co-ordinates ...

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  6. Find the equation of the curve passing through the point (0,1) if the ...

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  7. Solve the following differential equations dy/dx+y cot x=x^2+cot x+2x

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  8. Solve the following differential equations4 dy/dx+8x=5.e^(-3y)

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

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

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

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

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

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

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

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

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

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

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

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

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