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2 years ago

Problem: – 12 = - Зу

Mathematics

2 answers:

Rzqust [24]2 years ago

8 0

Answer:

4y or 4 (divide)

Step-by-step explanation:

lord [1]2 years ago

3 0

Answer:

y = 4

Step-by-step explanation:

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Initial value problems dy/dx+2y=3. Y(0)=1

Pavel [41]

The initial value equation is $y = \frac 12(3 - e^{-2x})$

<h3>How to solve the initial value?</h3>

The equation is given as:

$\frac{dy}{dx} +2y = 3$

Where

Y(0) = 1

Subtract 2y from both sides in the equation

$\frac{dy}{dx} = -2y + 3$

Rewrite as:

$\frac{dy}{-2y + 3} = dx$

Integrate both sides of the equation

$-\frac 12\ln|-2y + 3| = x + C_o$

Multiply through by -2

$\ln|-2y + 3| = -2x + C_1$

Take the exponent of both sides

$-2y + 3 = Ce^{-2x$

Next, we solve for C under the initial condition Y(0) = 1.

This gives

$-2(1) + 3 = Ce^{-2 * 0$

Evaluate

-2 + 3 = C

Solve for C

C = 1

Substitute C = 1 in $-2y + 3 = Ce^{-2x$

$-2y + 3 = e^{-2x$

Next, we solve for y

$y = \frac 12(3 - e^{-2x})$

Hence, the initial value equation is $y = \frac 12(3 - e^{-2x})$

Read more about initial value at:

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3 0

1 year ago

How do you get domain and range

Lunna [17]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

7 0

2 years ago

Read 2 more answers

Which expression is equivalent to 4 (x + 2)?

Drupady [299]

Answer:

4 x + 8

Step-by-step explanation:

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3 years ago

What are the standard deviation and the relative standard deviation for the percent of cacl2?

Elenna [48]