Solve the following initial value problem tdtdy5y4t with y19

Solve the following initial value problem:
t(dt/dy)+5y=4t
with y(1)=9
then find y(t)

t(dt/dy)+5y=4t
t.dt+5y.dy=4tdy
tdt=(4t-5y)dy
t²/2=4ty-5y²/2+C

initial value:

y(1)=9

1/2=36-5.9²/2+C

substitute value of C

Solve the following initial value problem: t(dt/dy)+5y=4t with y(1)=9 then find y(t)Solutiont(dt/dy)+5y=4t t.dt+5y.dy=4tdy tdt=(4t-5y)dy t2/2=4ty-5y2/2+C initia

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