The second-order equation as its equivalent system of first-order equations is
= ![\left[\begin{array}{ccc}7.5\\\\9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7.5%5C%5C%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
An equivalent system that has the identical answer is known as an equivalent structure. Given a gadget of two equations, we can produce an equal system by way of replacing one equation by means of the sum of the 2 equations, or by way of changing an equation by means of a couple of of itself.
Systems of linear equations are equivalent if and handiest in the event that they have an equal set of solutions. In other phrases, two systems are equal if and only if each answer of one in all of them is likewise a solution of the opposite.
In the structures sciences, a machine equivalent system is the conduct of a parameter or thing of a machine in a way just like a parameter or component of a distinctive system. Similarity means that mathematically the parameters and additives will be indistinguishable from each different.
Taking v = u, we have:
u" + 4u' + 6u = 4sin(3t)
--> v' + 4v + 6u = 4sin(3t)
So the system of equations is:
u' = 0u + 1v
v' = -6u - 4v + 4sin(3t)
So we can write it as:
u(1) = 7.5
v(1) = u'(1) = 9
So the initial condition matrix is:
= ![\left[\begin{array}{ccc}7.5\\\\9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7.5%5C%5C%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
Learn more about the equivalent system here brainly.com/question/14878855
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Answer:
y=4x+27
Step-by-step explanation:
If a line is parallel, it would have the same slope, so you already have that.
Now, you need the y-intercept of the second line. You already have one point, so use that point and the slope to find the y-int. What you can do (since you know you have to go up 4 and over 1, add a 1 to the -5 until you get to zero. your y-int would be 7+20 since you've gone up 5x4)
your final answer (i think) should be y=4x+27, but I could be wrong :))
Answer:
Sam = 18 and Marlon = 12
Step-by-step explanation:
If Sam is 6 years older but added is 30 then Sam could 18 and Marlon 12.
Can u post a picture of the graph?