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Solve the differential equation (x^(2)-y...

Solve the differential equation `(x^(2)-yx^(2))dx+(y^(2)+x^(2)y^(2))dy=0` given that y=1, when x=1.

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The correct Answer is:
`x-1/x=y+logy-1`
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Find the particular solution of the differential equation log((dy)/(dx...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find one parameter families of solution curves of the following differ...

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  19. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  20. Solve the following differential equations x dy - (y+ 2x^2) dx =0

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