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)

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

1k

step-by-step explanation:

-6k+7k

(-6+7)k

1k

p< -25

t> 12

r> 17

step-by-step explanation: