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Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 ...

Solve `x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0` given `y(1)=pi/2`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equations: (x+y+1)(dy)/(dx)=1

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  2. Solve the following differential equations: (x+y)(dx-dy)=dx+dy

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  3. Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 given y(1)=pi/2

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  4. Solve: x(dy)/(dx)=y-xtan(y/x)dot

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  5. A thermometer reading 80^@F is taken outside. Five minutes later the t...

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  6. The doctor took the temperature of a dead body at 11.30 Pm which was 9...

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  7. If is given that radium decomposes at a rate proportional to the am...

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  8. A radioactive substance disintegrates at as rate proportional to th...

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  9. If is known that, if the interest is compounded continuously, the pr...

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  10. It given that the rate at which some bacteria multiply is proportio...

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  11. A spherical rain drop evaporates at a rate proportional to its surf...

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  12. Water at temperature 100^@C cools in 10 minutes to 80^@C in a room of ...

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  13. The rate at which radioactive substances decay is known to be propor...

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  14. In a college hostel accommodating  1000 students, one of them came in ...

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  15. Solve the following differential equations: (x+2)(dy)/(dx)-x^2+4x-9,x...

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  16. Solve: (dy)/(dx)=1/(sin^4x+cos^4x) (ii) (dy)/(dx)=(3e^(2x)+3e^(4x)...

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  17. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  18. Solve the following initial value problems: (22-26) sin((dy)/(dx))=k ...

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  19. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  20. Solve the following initial value problems: (22-26) x(x^2-1)("dy")/("...

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