The equation is a linear differential equation. Identify the operator of the equation and show that (10.36)

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The equation

dx dt d.x +4t- dt (sint) x = cost

is a linear differential equation. Identify the operator of the equation and show that (10.36) holds for this operator.

L[ax + bx] = aL[x] + bL[x] for all functions x, and x and all constants a and b. (10.36)

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