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For the differential equation, find the ...

For the differential equation, find the particular solution satisfying the given condition: `x^2dy + (xy+y^2)dx = 0, y = 1` when `x = 1`

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The correct Answer is:
`x^(2) y = (1)/(3) ( 2x + y)`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-ASSIGNMENT (SECTION V)
  1. Solve the following differential equations x^(2) (dy)/( dx) = y ( x ...

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

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  3. Solve the following differential equations dy/dx + 4y = 5x

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  4. Solve the following differential equations y^(2) x^(2) (dy)/( dx) = ...

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  5. Solve the following differential equations 2xy (dy)/( dx) = x^(2) + ...

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  6. Solve the following differential equations x^(2) (dy)/( dx) = 2xy +...

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  7. Solve the following differential equations (y^(2) - x^(2) ) dy = 3xy...

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  8. Solve the following differential equations x dy - ydx = sqrt( x^(2) ...

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  9. Solve the following differential equations ( x^(3) + y^(3) ) dy = x^...

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  10. Solve the following differential equations x (dy)/(dx) - y + x tan "...

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

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  12. Solve the following differential equations xy log (y/x) dx + { y^(2)...

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

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  14. Find the particular solution of the following differential equations, ...

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  15. Find the particular solution of the following differential equations, ...

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

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  17. Find the particular solution of the following differential equations, ...

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