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The solution of the equation (dy)/(dx) =...

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

A

`(e^(-2x))/(4) = y`

B

`(e^(-2x))/(-2) +c = y`

C

`(1)/(4) e^(-2x) + cx^(2) + d = y`

D

`(1)/(4)e^(-2x) + cx + d = y`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
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  2. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The I.F. of (dy)/(dx) - 3y Cot x = Sin x is

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