Solving 11(t+1)dy/dt-7y=28t with integrating factor

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Mikesgto
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Homework Statement



11(t+1)dy/dt-7y=28t y(0)=13

Homework Equations


The Attempt at a Solution


I got µ(x)=1/(t+1)^(7/11)
and then used

28/11(t+1)^(7/11)*integral of t/(t+1)^(18/11) dt.
And that's where I'm stuck.
 
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Is your difficulty in the integration?

Integration by parts should remedy said problem I believe.