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The solution of the differential equatio...

The solution of the differential equation `x^2dy=-2xydx` is

A

`xy^2=c`

B

`x^2y^2=c`

C

`x^2y=c`

D

xy=c

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  2. The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y ...

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  3. The solution of the differential equation x^2dy=-2xydx is

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  4. The differential equations cos y dx = x dy has solution of the form

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  5. The general solution of the differential equation (dy)/(dx)=cot x cot ...

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  6. The solution of the differential equation x sec y "dy"/"dx"=1 is

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  7. The general solution of the equation (e^y + 1)cos x dx + e^y sin x dx=...

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  8. The general solution of the differential equation y dx +(1+x^2) tan^(...

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  9. Solve : 3e^xtany dx+(1-e^x)sec^2y\ dy=0

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  10. The solution of the differential equation (sin x + cos x) dy + (cos x-...

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  11. If dy/dx=(xy + y)/(xy+x), then the solution of the differential equati...

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

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  13. The solution of the equation (2y-1)dx - (2x + 3)dy = 0 is

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  14. (x-y^2x)dx=(y-x^2y)dy

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  15. Solution of the equation (1 - x^2) dy + xy dx = xy^2dx is

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  16. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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  17. Solution of the differential equation (dy)/(dx)tany=sin(x+y)+sin(x-y) ...

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  18. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

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  19. The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2...

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  20. The solution of (cosec x log y ) dy + (x^2y)dx=0 is

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