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2 years ago

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1 answer:

Dahasolnce [82]2 years ago

6 0

Answer:

695

Step-by-step explanation:

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Solve the differential equation. y' + 5xey = 0.

galben [10]

Answer:

The solution is $y = - ln(\frac{5}{2}x^{2} + C)$

Step-by-step explanation:

To solve the differential equation, we will find $y$

From the given equation, y' + 5xey = 0.

That is, $y' + 5xe^{y} = 0$

This can be written as

$\frac{dy}{dx} + 5xe^{y} = 0$

Then,

$\frac{dy}{dx} = - 5xe^{y}$

$\frac{dy}{e^{y}} = - 5x dx$

Then, we integrate both sides

$\int {\frac{dy}{e^{y}}} =\int {- 5x dx}$

$\int {e^{-y}dy }} =\int {- 5x dx}$

Then,

$-e^{-y} = -\frac{5}{2}x^{2} + C$

$e^{-y} = \frac{5}{2}x^{2} + C$

Then,

$ln(e^{-y}) = ln(\frac{5}{2}x^{2} + C)$

Then,

$-y = ln(\frac{5}{2}x^{2} + C)$

Hence,

$y = - ln(\frac{5}{2}x^{2} + C)$

5 0

3 years ago

-1/2 x+1 = -x+8<br><br> choices:<br> 7<br> 1/2<br> 14<br> 18

kondaur [170]

Answer:

14

Step-by-step explanation:

<u><em>can you please mark this brainliest if it helped? <3 </em></u>

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What is the measure of the vertex angle of an isosceles triangle if one of the base angles measures 58°? a. 116° b. 64° c. 61° d

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180 - 58 = 122122 / 2 = 61answer is c

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