3 years ago

Please help me with the attachment

Mathematics

1 answer:

kirill [66]3 years ago

5 0

Answer:

what is the full question

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Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

2 years ago

Multiply. 5⋅2/3 Enter your answer as an improper fraction, in simplified form, in the box

kodGreya [7K]

The answer is 10/3, the whole number form of it is 3 1/3 :)

7 0

4 years ago

Read 2 more answers

Please help fast, I will mark BRAINLIEST 10. Find the rule. *

AURORKA [14]

Answer:

the answer to the question is y=x+2.

8 0

3 years ago

If 4 to the 3 power • 4 to the 3 power = m to the 6 power then m is

Sedbober [7]

4.
4^3 = 64
64X64 = 4096
4^6 = 4096

5 0

4 years ago

Which pair is a solution of the equation? <br> -7x+3y=2

stira [4]

Answer:

7/3

Step-by-step explanation:

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3 years ago