Use the Laplace transform to solve the following initial value problem: y"- 3y + 2y = -5exp(t), y(0) = -4, y'(10) = 7.

First, take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation and then solve for L{y(t)} You do not need to perform partial fraction decomposition yet.

L{y(t)}(s) = -5/[(s-1) (2 - 3s +2)] - (45-3)/(2 - 3s+2)

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step-by-step explanation:

15: 24

62.5%

step-by-step explanation:

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step-by-step explanation:

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.