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The solution of y dx - xdy + 3x^(2) y^(2...

The solution of `y dx - xdy + 3x^(2) y^(2) e^(x^(3))dx = 0` is

A

`(y)/(x) + e^(x^(3)) = c`

B

`(y)/(x) - e^(x^(3)) = c`

C

`(x)/(y) + e^(x^(3)) = c`

D

`(x)/(y) - e^(x^(3)) = c`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  2. The solution of x dx + ydx = x^(2)y dy - xy^(2)dx is

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  3. The solution of y dx - xdy + 3x^(2) y^(2) e^(x^(3))dx = 0 is

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  4. The solution of (dy)/(dx) = 2xy - 3y + 2x - 3 is

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  5. The solution of log((dy)/(dx)) = ax + by is

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  6. The solution of y^(2) cos sqrt(x) dx-sqrt(x e)^((1)/(y)) dy = 0 is

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

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  8. The solution of cos y log (sec x + tan x)dx = cos x log (sec y + tan y...

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  9. Solution of the differential equation 2 y sin x (dy)/(dx) = 2 sin x co...

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  10. The equation of the curve through (0, (pi)/(4)) satisfying the differe...

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  11. The solution of the differential equation (1+e^(x))y(dy)/(dx) = e^(x) ...

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  12. The solution of the differential equation (tan y)(dy)/(dx) = sin (x+y)...

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

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

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  15. The solution of sin^(-1)((dy)/(dx)) = y + x is

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  16. Solve (dy)/(dx)=sin(x+y)+cos (x+y)

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  17. The solution of the differential equation (dy)/(dx)=sin(x+y)tan(x+y)-1...

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  18. The value of 'b' such that the solution of x = by (dy)/(dx) represents...

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  19. A curve passes through the poit (5,3) and at any point (x,y) on it the...

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  20. A curve C has the property that if the tangent drawn at any point 'P' ...

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