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3 years ago

Please i need help 50 points

Mathematics

2 answers:

Gnesinka [82]3 years ago

5 0

Answer:

x=65

I put a pdf with the work below. hope it helps!

Step-by-step explanation:

Download pdf

Alexxx [7]3 years ago

4 0

Answer:

What did you need halp with

Step-by-step explanation:

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Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

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Note that if ${x_2}'=x_1$ , then ${x_2}''={x_1}'$ , and so we can collapse the system of ODEs into a linear ODE:

${x_2}''=3{x_2}'-x_2+e^t$
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so that the characteristic solution is

${x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}$

Now let's suppose the particular solution is ${x_2}_p=ae^t$ . Then

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and so

$ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1$

Thus the general solution for $x_2$ is

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3 years ago