Find the general solution of yʹ − 3y = 8e3t + 4sin t .

Step-by-step explanation:

Given differential equation,

Since, the above equation is of the type of linear differential equation

,

In which P = -3, Q = ,

Thus, the integrating factor,

Hence, the solution of the given differential equation would be,

Let,

Integrating by parts,  ( First term = sin t, second term = )

( from equation (2))

( where, C' = 9C/10 )

From equation (1),

69

step-by-step explanation:

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