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Solve the following differential equatio...

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

Text Solution

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The correct Answer is:
`log | x^2 + xy + y^2 | + sqrt(3) tan^(-1) ( x+ 2y)/( - sqrt(3) x) = C`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Form the differential equation of the family of hyperbolas having foci...

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  2. Solve the following differential equations e^(x) tan ydx + (1-e^(x) ...

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

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  4. Solve the following differential equations x (dy)/(dx) - y + x sin (...

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  5. Solve : dy/dx + 2y = sin x

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  6. Solve the differential equation : x^2 (y + 1) dx + y^2 (x - 1) dy = 0

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  7. Solve the following differential equations (x^(2) y + x^(2) ) dx + (...

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  8. Solve the following differential equations x cos (y/x) (dy)/( dx) = ...

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  9. Solve the following differential equations y dx + x (log ""(y)/( x))...

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

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  11. Solve the following differential equation dy/dx = x^5 + x^2 - 2/x

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  12. Find the general solution of the Differential Equation : 2xy dx + (x^2...

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  13. Solve the differential equation (x^2 - y^2) dx + 2 xy dy = 0.

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  14. Solve the following differential equations (y^(2) - 2xy) dx = (x^(2)...

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  15. Solve the differential equation : xdy/dx-y=2x^3.

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  16. Solve the following differential equations (dy)/( dx) - y = cos x, g...

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

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  18. Find the particular solution of the differential equation (dy/dx) - 3y...

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  19. Solve cot^(-1) (dy/dx) = x+y

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  20. Solve the differential equation (x^(2) + y^(2) ) dx = 2xydy

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