So I have been having a lot of trouble trying to solve this differential equation as part of an assignment , its being driving me mad, as i understand you find the Integration factor, multiply both sides by this, then integrate both sides and combine..... I believe my final solution is incorrect but here is what i got,

dx/dy + 0.2x = 3.4yexp^(-1.5y)

i take the integrating factor as exp^0.2x

multiply both sides by this and result in xexp^0.5y = 3.4yexp^-t

when i integrate both sides i get as a final answer x = ( 3.4yexp^-y ) / exp^(0.5y)

can anyone please give guidance? method right or way wrong !!

Thanks in advance, and i apologize in advance for the poor formatting above, I could not figure out how you all do it the right way !!