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Find the equation of the curve passing t...

Find the equation of the curve passing through the point (0,1) if the slope of the tangent of the curve at each of it's point is sum of the abscissa and the product of the abscissa and the ordinate of the point.

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Find the equation of the curve which passes through the point (3/sqrt ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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