Consider the initial value problem y′+4y=48t, y(0)=9. y′+4y=48t, y(0)=9. take the laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. denote the laplace transform of y(t)y(t) by y(s)y(s). do not move any terms from one side of the equation to the other

Step-by-step explanation:

given is the Differential equation in I order linear as

Take Laplace on both sides

Now if we take inverse we get y(t) the solution

Thus the algebraic equation would be

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168

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