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Solve the initial value problem 9(t+1) dy dt −6y=18t, 9(t+1)dydt−6y=18t, for t>−1 t>−1 with y(0)=14. y(0)=14....

Solve the initial value problem 9(t+1) dy dt −6y=18t, 9(t+1)dydt−6y=18t, for t>−1 t>−1 with y(0)=14. y(0)=14. Find the integrating factor, u(t)= u(t)= , and then find y(t)= y(t)=

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