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for the question, siny+cosydy=0, i want to find an integrating factor.
my work:
(1/F)(dF/dx)=(1/cosy)(cosy+siny)=1+tany
=>lny=x +xtany +c`
=> y =ce^(x+xtany)
however, the question wants the integrating factor to be e^x...
why?
my work:
(1/F)(dF/dx)=(1/cosy)(cosy+siny)=1+tany
=>lny=x +xtany +c`
=> y =ce^(x+xtany)
however, the question wants the integrating factor to be e^x...
why?