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ydx+xdy - Maths

by Umair Saeed
(Haripur)










































Solve the differential equation for y

ydx + xdy = 0

Since the variables can be separated, this is a separable differential equation.

find the integrating factor and solve


Comments for ydx+xdy - Maths

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Apr 08, 2012
ydx + xdy
by: Staff


Question:

by Umair Saeed
(Haripur)


ydx+xdy=0


Answer:

ydx + xdy = 0

ydx - ydx + xdy = 0 - ydx

0 + xdy = 0 - ydx

xdy = - ydx

dy/y = - dx/x

∫(dy/y) = ∫(-dx/x)

ln(y) = -ln(x) + C

y = (e^c)/x





Thanks for writing.

Staff
www.solving-math-problems.com



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