- #1
Jim4592
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- 0
Homework Statement
Find a general solution if possible, otherwise find a relation that defines the solutions implicity.
xy'-y=x tan(y/x)
Homework Equations
The Attempt at a Solution
y'-(y/x) = tan(y/x)
v = y/x ; y = xv ; y' = xv' + v
xv' + v = tan(v) + v
xv' = tan(v)
I got stuck there I'm not exactly sure how to integrate [tan(v)/x] to get v
and once i get v I'm not sure what to do to get y.
from using mathmatica command DSolve[xy'[x]-y[x]==xTan[y[x]/x],y[x],x] i got an answer of:
y[x] = x*(ArcSin[(e^c)*x])
Any help will be much appreciated!