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dx + dy = (x + y) (dx -dy) rArr log (x +...

`dx + dy = (x + y) (dx -dy) rArr log (x + y)` =

A

x+y+c

B

x+2y+c

C

x-y+c

D

`2x+y+c^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
  1. The differential equation of family of circles of fixed radius 5 units...

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  2. Form the differential equation by eliminating the arbitrary constant f...

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  3. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

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  4. The solution of the equation (dy)/(dx) = e^(-2x) is

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  5. The solution of the cosec^(2x)(dy)/(dx) - (1)/(y) = 0 is

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  6. The solution of (dy)/(dx) = ((y)/(x))^(1//3) is

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  7. The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

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  8. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

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  9. The solution of 3e^(x) cos^(2) ydx+(1-e^(x)) cot y dy = 0 is

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  10. A particle moves in a line with velocity given by (ds)/(d t) = s+1. Th...

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  11. Equation of the curve passing through the point (4,3) and having slope...

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  12. The slope of a curve at any point on it is the reciprocal of twice of ...

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  13. The solution of (dy)/(dx) = (x^(2) + y^(2))/(xy) is

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  14. The solution of (dy)/(dx) + y = e^(x) is

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  15. The solution of (dy)/(dx) = (y + x tan.(y)/(x))/(x) rArr sin.(y)/(x)=

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  16. The solution of (x^(2) + y^(2)) dx = 2xy dy is

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  17. The equation (dy)/(dx) = (x + 2y-3)/(2x+y-3) can be changed to homogen...

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  18. The substitution required to change (3y-7x+7) dx + (7y-3x+3)dy = 0 int...

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  19. The solution of (12x + 5y -9) dx + (dx + 2y-4) dy = 0 is

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  20. Solve the following differential equations. (dy)/(dx)=(-3x-2y+5)/(2x...

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