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Solve the following differential equatio...

Solve the following differential equations: `xcos^2y \ dx=ycos^2x \ dy`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the equation of the curve passing through the point (1,1) whos...

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  2. Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...

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  3. Solve the following differential equations: xcos^2y \ dx=ycos^2x \ dy

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  4. Experiments show that the rate of inversion of cane sugar in dilute so...

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  5. In a culture, the bacteria count is 1,00,000. The number is increas...

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  6. A bank pays interest by continuous compounding, that is ,by treatin...

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  7. Experiments show that radius disintegrates at a rate proportional to t...

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  8. The equation of the curve passing through the point (1,pi/4) and havin...

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  9. Find the equation to the curve satisfying x(x+1)(dy)/(dx)-y=x(x+1) and...

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  10. The curve is such that the length of the perpendicular from the ori...

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

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  12. Radium decomposes at a rate proportional to the quantity of radium ...

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  13. Find the equation of a curve passing through the point (0, 1). If t...

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  14. Form the differential equation corresponding to y^2=m(a^2-x^2) by eli...

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  15. Form the differential equation not containing the arbitrary constan...

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  16. if (log)a x=b for permissible values of a and x then identify the stat...

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  17. Form the differential equation corresponding to y^2=a(b-x)(b+x) by eli...

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  18. In each of the following differential equations indicate its degree,...

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  19. Form the differential equation of the family of curves represented ...

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  20. Determine the order and degree of each of the following differentia...

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