Mathematics, 16.01.2020 01:31 shaee7335
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
Answers: 3
![L(y') +4L(y) = 48L(t)\\sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2} \\Y(s) [s+4]=\frac{48}{s^2}+9\\Y(s) = \frac{1}{s^2(s+4)}+\frac{9}{s+4}](/tpl/images/0456/9294/16751.png)
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Consider the initial value problem y′+4y=48t, y(0)=9. y′+4y=48t, y(0)=9. take the laplace transform...
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