Use the laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2
1 answer:
In mathematics, the Laplace transform, named after its discoverer Pierre Simon Laplace, transforms a function of real variables (usually in the time domain) into a function of complex variables (in the time domain). is the integral transform that Complex frequency domain, also called S-area or S-plane).
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Given:
The width of a rectangle is x centimeters and its length is (x+ 2) cm.
To find:
The expression for the perimeter of the rectangle.
Solution:
We know that, perimeter of a rectangle is
We have,
Width = x cm
Length = (x+2) cm
Putting these values in the above formula, we get
Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.