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Integral Calculus

Scorching goIITian

Joined:	14 Apr 2009
Post:	296

4 Sep 2009 10:48:57 IST

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solve (x^2 -ay)dx +(y^2-ax) dy =0 give solution

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solve (x^2 -ay)dx +(y^2-ax) dy =0 give solution

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kabi

Blazing goIITian

Joined: 11 Jan 2009

Posts: 575

4 Sep 2009 17:44:06 IST

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x² dx +y ²dy - a ( ydx +xdy ) = 0

x² dx +y ²dy - a ( d(xy) ) = 0 ( As u know d (xy ) = y dx +x dy )

integrating this

x ³ /3 + y² /3 -a ( xy ) = k

Sagar Saxena

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Joined: 8 Oct 2008

Posts: 7221

22 Oct 2009 20:48:54 IST

Like 1 people liked this

hello dear

rearaging the equation::

(x²dx + y²dy) - a (y dx + x dy) = 0

(y dx + x dy) = d(xy)

we get::

(x³ + y³)/3 - axy = 0

this is teh solution of the given differential equation

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