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sleet_krkn [62]

3 years ago

7

Have a wonderful day and here are free pts to make your day better <3 lvu and be safe

2 answers:

ivanzaharov [21]3 years ago

8 0

Answer:

well 5 x 6 is 30 carry the 3, 1 x 6 is 6 plus the 3 is 9 so ur answer is 90

Step-by-step explanation:

rjkz [21]3 years ago

6 0

Answer:

80

Step-by-step explanation:

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Use the method of "undetermined coefficients" to find a particular solution of the differential equation. (The solution found ma

Naddika [18.5K]

Answer:

The particular solution of the differential equation

= $\frac{-1,36,656cos5x+1,89,800 sin5x}{-1204}$ + $\frac{1}{37}185e^{6x})$

Step-by-step explanation:

Given differential equation y''(x) − 10y'(x) + 61y(x) = −3796 cos(5x) + 185e6x

The differential operator form $(D^{2} -10D+61)y(x) = −3796 cos(5x) + 185e^{6x}$

<u>Rules for finding particular integral in some special cases:-</u>

let f(D)y = $e^{ax}$ then

the particular integral $\frac{1}{f(D)} (e^{ax} ) = \frac{1}{f(a)} (e^{ax} ) if f(a)$ ≠ 0

let f(D)y = cos (ax ) then

the particular integral $\frac{1}{f(D)} (cosax ) = \frac{1}{f(D^2)} (cosax ) =\frac{cosax}{f(-a^2)}$ f(-a^2) ≠ 0

Given problem

$(D^{2} -10D+61)y(x) = −3796 cos(5x) + 185e^{6x}$

P<u>articular integral</u>:-

$P.I = \frac{1}{f(D)}( −3796 cos(5x) + 185e^{6x})$

$P.I = \frac{1}{D^2-10D+61}( −3796 cos(5x) + 185e^{6x})$

$P.I = \frac{1}{D^2-10D+61}( −3796 cos(5x) + \frac{1}{D^2-10D+61}185e^{6x})$

P.I = $I_{1} +I_{2}$

we will apply above two conditions, we get

$I_{1}$ =

$\frac{1}{D^2-10D+61}( −3796 cos(5x) = \frac{1}{(-25)-10D+61}( −3796 cos(5x) ( since D^2 = - 5^2)$ $= \frac{1}{(36-10D}( −3796 cos(5x) \\= \frac{1}{(36-10D}X\frac{36+10D}{36+10D} ( −3796 cos(5x)$

on simplification we get

= $\frac{1}{(36^2-(10D)^2}36+10D( −3796 cos(5x)$

= $\frac{-1,36,656cos5x+1,89,800 sin5x}{1296-100(-25)}$

= $\frac{-1,36,656cos5x+1,89,800 sin5x}{-1204}$

$I_{2}$ =

$\frac{1}{D^2-10D+61}185e^{6x}) = \frac{1}{6^2-10(6)+61}185e^{6x})$

$\frac{1}{37}185e^{6x})$

Now particular solution

P.I = $I_{1} +I_{2}$

P.I = $\frac{-1,36,656cos5x+1,89,800 sin5x}{-1204}$ + $\frac{1}{37}185e^{6x})$

8 0

3 years ago

92.61<br> x 50.49<br> How to do this decimal multiplication

dimaraw [331]

92.61 • 50.49= 4675.8789

answer = 4675.8789

Download the app Cymath then type the question out and you can get the steps to solve I don’t want to confuse you that’s why I am saying do this because there are 19 different steps to do

4 0

4 years ago

Read 2 more answers

Write the number six hundred ninety-two thousand, four in expanded form

Allushta [10]

Answer: 600,000 + 90,000 + 2,000 + 4

Step-by-step explanation:

600,000 + 90,000 + 2,000 + 4 = 692,004

5 0

3 years ago

Read 2 more answers

HELP ASAP Solve log7 b > 2. Question 18 options: b > 7 b > 49 b > 2–7 b > 14

labwork [276]

Answer: Second Option

$b > 49$

Step-by-step explanation:

We have the following expression:

$log_7(b) > 2$

We have the following expression:

To solve the expression, apply the inverse of $log_7$ on both sides of the equality.

Remember that: $b ^ {log_b (x)} = x$

So we have to:

$7^{log_7(b)} > 7^2$

$b > 7^2$

$b > 49$

The answer is the second option

3 0

4 years ago

What is the domain of f(x)=9-x^2

Sergeu [11.5K]

the domain of f(x)=9-x^2 is (-∞,∞), {x|x ∈r}

6 0

3 years ago