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Find the particular solution of the foll...

Find the particular solution of the following differential equation : `(dy)/( dx) = 1 + x^2 + y^2 + x^2y^2`, given that `y =1` when `x =0`.

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The correct Answer is:
`tan^(-1)y=x+(x^(3))/3+(pi)/4`
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
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  6. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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