4 years ago

8x + 3y = 4 - 7x + 5y = -34

Mathematics

1 answer:

maxonik [38]4 years ago

3 0

Answer:

The solution is in the picture above

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The number of surfers that visited Sunset Beach and Sandy Point over the last 15 days was recorded on these line plots.

Arturiano [62]

Answer:

True

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True

Step-by-step explanation:

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3 years ago

Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y

Charra [1.4K]

I assume you mean $y_1=t^{-1}$ , and not $y_1=t-1$ , since this doesn't satisfy the ODE.

Assume a second solution of the form $y_2=vy_1$ , where $v$ is a function of $t$ . Then

${y_2}'=v'y_1+v{y_1}'$

${y_2}''=v''y_1+2v'{y_1}'+v{y_1}''$

Substituting into the ODE gives

$t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0$

$\implies tv''+v'=0$

$\implies(tv')'=0$

$\implies tv'=C$

$\implies v'=\dfrac Ct$

$\implies v=C_1\ln|t|+C_2$

$\implies y_2=\dfrac{\ln t}t$

where we omit the second term because it's already accounted for by $y_1$ .

3 0

3 years ago

Need help you guys 2.13X10^-5

tresset_1 [31]

0.0000213, that should be it.

8 0

4 years ago

What is another name for ray ca?

zzz [600]

I would say ray ac, because it shouldn't matter which order you put the letters.

7 0

3 years ago

(8x4)+3. What is the answer<br> 6

Yuri [45]

Answer:

Step-by-step explanation:

Remember PEMDAS

multiply 4 and 8

32+3

add 32 and 3

5 0

3 years ago

Read 2 more answers