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If y(x) is a solution of the differential equation `((2+sinx)/(1+y))(dy)/(dx)=-cosx` and y(0)=1 then find the value of `y((pi)/2)`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve (dy)/(dx)=e^(x-y)+x^(2)e^(-y).

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  2. Given that (dy)/(dx)=ye^x and y=e when x=0. find y when x=1

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  3. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

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  4. Solve the following initial value problems: y'=secy, y(0)=0

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  5. Solve the following initial value problems: 2xy'=3y,y(1)=4

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  6. Solve the following initial value problems: y'=ycot2x, y(pi/4)=2

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  7. Solve the following initial value problems: (dy)/(dx)=1+x+y^2+xy^2, y(...

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  8. Solve the following initial value problems: e^xsqrt(1-y^2)dx+(y//x)dy=...

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  9. Find the particular solution of sin((dy)/(dx))=a, given that y=1 when ...

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  10. Find the equation of the curve through the point (1,0) if the slope of...

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  11. Find the particular solution of the differential equation e^((dy)/(dx)...

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  12. A population grows at the rate of 2.5% per annum. How long does it tak...

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  13. The volume of spherical balloon being inflated changes at a constant r...

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

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  15. The equation of curve for which the normal at every point passes throu...

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  16. Experiments show that radium decomposes at a rate proportioanl to the ...

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  17. The rate of increase of bacterial in a certain culture is proportional...

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  18. In a culture, the bacteria count is 1,00,000. The number is increased ...

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  19. Find the equation of a curve passing through the point (1,1), if the t...

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  20. Solve the differential equations: (dy)/(dx)=(3x+y+4)^2

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