The coefficient matrix for a system of linear differential equations of the form

tabita57i
2021-02-21
Answered

The coefficient matrix for a system of linear differential equations of the form

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AGRFTr

Answered 2021-02-22
Author has **95** answers

Step 1

The general solution is

for

Step 2

We have

Step 3

Then

Step 4

Hence the general solution is

Step 5

The individual functions are

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Solve $d\frac{{d}^{2}y}{d{t}^{2}}\text{}-\text{}8d\frac{dy}{dt}\text{}+\text{}15y=9t{e}^{3t}\text{}with\text{}y(0)=5,\text{}{y}^{\prime}(0)=10$

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$y{}^{\u2033}-4{y}^{\prime}+4y=-6{e}^{2t}$

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(a)

(b)

(c)

(d)

(e) Cannot be determined.

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I am trying to solve the following:

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I have used the method of variation of parameters. Currently I am at a point in the equation where I have this:

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I am stuck here

I have used the method of variation of parameters. Currently I am at a point in the equation where I have this:

I am stuck here

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Deterrmine the first derivative $\left(\frac{dy}{dx}\right)$ :

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