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If y(x) is a solution of the differentia...

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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The correct Answer is:
`y((pi)/2)=1/3`
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Find the particular solution of the following differential equation: ...

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  2. Find the particular solution of the following differential equation: ...

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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. Find the particular solution of the differential equation log((dy)/(dx...

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  5. Find the particular solution of the differential equation e^(x)sqrt(1-...

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  6. Solve the differential equation (x^(2)-yx^(2))dx+(y^(2)+x^(2)y^(2))dy=...

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  7. Find the particular solution of the following differential equation: ...

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  8. Show that each of the following differential equations is homogeneous ...

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  9. Show that each of the following differential equations is homogeneous ...

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  10. Show that each of the following differential equations is homogeneous ...

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  11. Show that the given differential equations are homogeneous and solve t...

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  12. Show that the given differential equation is homogeneous and solve it:...

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  13. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

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  14. Solve the following differential equations ( x sin"" (y)/( x)) dy =...

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  15. Show that the differential equation x-cos(y/x)((dy)/(dx)) = ycos(y/x)+...

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  16. Solve the following differential equation: [y-xcos(y/x)]dy+[ycos(y/x...

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  17. For the differential equation, find the particular solution satisfying...

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  18. For each of the differential equations, find the particular solution s...

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  19. For each of the differential equations, find the particular solution s...

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  20. Solve : x log x dy/dx+y=2/x log x.

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