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bija089 [108]
2 years ago
11

Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph

the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect.

Mathematics
1 answer:
creativ13 [48]2 years ago
6 0

u can you download the gauthmath app i promise it's very helpful :)

thanks me later (. ^ ᴗ ^.)

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Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.
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Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

y=x-x^2+C              ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

-2=1-(1)^2+C

-2=1-1+C

-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

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