3 years ago

I NEED HELP LIKE ASAP, IF UR CORRECT I'LL MARK U BRAINLIEST.

Mathematics

1 answer:

Reil [10]3 years ago

5 0

Answer:

Step-by-step explanation:

The initial value is the beginning output value, or the y-value when x = 0. Therefore, since y is at 7 when x is at 0, the answer is 7.

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From a practice assignment: solve the following differential equation given initial conditions

hodyreva [135]

If $y' = e^y \sin(x)$ and $y(-\pi)=0$ , separate variables in the differential equation to get

$e^{-y} \, dy = \sin(x) \, dx$

Integrate both sides:

$\displaystyle \int e^{-y} \, dy = \int \sin(x) \, dx \implies -e^{-y} = -\cos(x) + C$

Use the initial condition to solve for $C$ :

$-e^{-0} = -\cos(-\pi) + C \implies -1 = 1 + C \implies C = -2$

Then the particular solution to the initial value problem is

$-e^{-y} = -\cos(x) - 2 \implies e^{-y} = \cos(x) + 2$

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Step-by-step explanation:

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2 years ago

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olga2289 [7]

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emmasim [6.3K]

Answer:

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Step-by-step explanation:

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2 years ago

29*47 in expanded algorithm

Tresset [83]

Hey there! :D

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