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Find particular solutions of the followi...

Find particular solutions of the following differential equations :
(1) ` (x-y^(2)x) dx - (y=x^(2)y) dy = 0 , " when " x =2, y=0`

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The correct Answer is:
`(1- x^(2)) (1-y^(2)) = 5`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DIFFERENTIAL EQUATIONS
  1. Solve the differential equation (dy)/(dx)+y = e^(-x)

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  2. Solve the differential equation x (dy)/(dx) + 2y = x ^(2) log x

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  3. Solve (dy)/(dx) = (x+y+1)/(x+y-1) when x = (2)/(3), y = (1)/(3)

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  4. Solve the differential equation x dx + 2 ydy =0

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  5. (x^(2)-yx^(2))dy+(y^(2)+xy^(2))dx=0

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

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  7. Find the differential equation by eliminating arbitrary constants from...

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  8. Find the differential equation by eliminating arbitrary constants from...

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  9. y = log x + c is a solution of the differential equation x(d^(2)y)/(...

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  10. Solve : (dy)/(dx) + (2)/(x) y = x ^(2)

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  11. Find particular solutions of the following differential equations : ...

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  12. Solution of the differential equation (dy)/(dx)+(x-2y)/(2x-y)=0 is

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  13. Find the differential equation from the relation x ^(2) + 4y ^(2) = 4b...

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  14. The population of a town increases at a rate proportional to the popul...

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  15. The rate o growth of bacteria is proportional to the number present . ...

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  16. Solve the following differential equation y x(dy)/(dx) = x^(2) + 2y^...

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  17. Solve the following differential equation y log y (dx)/(dy) = log y ...

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  18. For the differential equation, find the particular solution (dy)/(dx...

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  19. Solve the following differential equation y^(2) dx + (xy + x^(2))dy = ...

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  20. Solve the following differential equation x^(2)(dy)/(dx) = x^(2) + x...

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