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The general solution of y^(2)dx+(x^(2)...

The general solution of
`y^(2)dx+(x^(2)-xy+y^(2))dy=0`, is

A

`tan^(-1)(x/y)-log y=c `

B

`2tan^(-1)(x/y)+log x =c `

C

`log (y+sqrt(x^2+y^2))+log y =c `

D

`log y =tan^(-1) (y/x)+c `

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  4. The solution of the differential equation 2xy"dy"/"dx"=x^2+3y^2 is

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  5. The solution of the differential equation "dy"/"dx"=x/(2y-x) is

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  8. Which of the following equation is linear ?

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  11. The integrating factor of the differential equation (1-x^(2))(dy)/(d...

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  13. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

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  16. The solution of the equation dy/dx=1/(x+y+1) is

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  18. The solution of the differential equation xlogx(dy)/(dx)+y=2logx is

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  20. Solution of the differential equation (dy)/(dx)+ysec^2 x = tan x sec^2...

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