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Solve the differential equation (y+3x^2)...

Solve the differential equation `(y+3x^2)(dx)/(dy)=x` .

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the general solution of the differential equation x(dy)/(dx)+2...

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  2. Find the general solution of the differential equation (dy)/(dx)-y=...

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  3. Solve the differential equation (y+3x^2)(dx)/(dy)=x .

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  4. Find the particular solution of the differential equation (dx)/(dy)+xc...

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  5. The temperature T of a cooling object drops at a rate proportional to ...

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  6. The slope of the tangent to the curve at any point is reciprocal of tw...

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  7. The equation of electromotive forces for an electric circuit containin...

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  8. The surface area of a balloon being inflated changes at a constant rat...

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  9. A population grows at the rate of 5% per year. Then the population wil...

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  10. The rate of growth of a population is proportional to the number prese...

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  11. If the interest is compounded continuously at 6% per annum, how muc...

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  12. The rate of increase in the number of bacteria in a certain bacteria...

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  13. The population of a village increases continuously at the rate prop...

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  14. Solve the following initial value problem: C^(prime)(x)=2+0. 15 x ; C(...

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  15. The decay rate of radium at any time t is proportional to its mass at ...

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  16. A curve passes through the point (3, -4) and the slope of the tangen...

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  17. Find dy/dx if y-x+x^2=0

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  18. Find the curve for which the intercept cut off by a tangent on x-ax...

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  19. Show that the equation of the curve whose slope at any point is equa...

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  20. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

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