- #1
chwala
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- Homework Statement
- solve the differential ##x(x+y)y^{'}=x^2+y^2## given initial conditions ##y=0, x=1##
- Relevant Equations
- differential equations
on introducing a term on both sides,
we have
##(x^2+xy-2xy)y^{'}=x^2+y^2-2xy##
##(x^2-xy)y^{'}=(x-y)^2##
##x(x-y)y^{'}=(x-y)^2##
##xy^{'}=(x-y)##
##y^{'}=1-y/x##
## v+x v^{'}=1-v## ...ok are the steps correct before i continue?
we have
##(x^2+xy-2xy)y^{'}=x^2+y^2-2xy##
##(x^2-xy)y^{'}=(x-y)^2##
##x(x-y)y^{'}=(x-y)^2##
##xy^{'}=(x-y)##
##y^{'}=1-y/x##
## v+x v^{'}=1-v## ...ok are the steps correct before i continue?
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