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Find the general solution of the differential equation `x(dy)/(dx)+2y=x^2(x!=0)` .

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\...

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  2. Solve the initial value problem: dy=cos x\ (2-y\ cosec x)dx

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  3. Find the general solution of the differential equation x(dy)/(dx)+2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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