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inysia [295]
2 years ago
15

Solve the differential equation dy/dx+4xy=x

Mathematics
1 answer:
Irina-Kira [14]2 years ago
3 0
\dfrac{\mathrm dy}{\mathrm dx}+4xy=x
\dfrac{\mathrm dy}{\mathrm dx}=x(1-4y)

This ODE is separable, so you can write

\dfrac{\mathrm dy}{1-4y}=x\,\mathrm dx

Integrating both sides gives

-\dfrac14\ln|1-4y|=\dfrac12x^2+C
\ln|1-4y|=-2x^2+C
1-4y=e^{-2x^2+C}
1-4y=Ce^{-2x^2}
y=\dfrac{1-Ce^{-2x^2}}4
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Rashid [163]
The answer should be C
8 0
2 years ago
Use a calculator to solve this problem:<br><br> 28 + 27 × 36
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For this case we have that according to the order of algebraic operations PEMDAS, the multiplications have priority over the addition and subtraction, then, we have the following expression:

28 + 27 * 36 =\\28 + 972 =\\1000

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Answer:

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8 0
3 years ago
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k0ka [10]

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3 years ago
Is a vertical line a function
topjm [15]

Answer:

No

Step-by-step explanation:

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Explanation 2) For a line to be a function it has to pass the vertical line test, so you will draw a vertical line through the function and if it touches more than one point then it is not a function. In this case if you draw a vertical line through a vertical line there are an infinite number of places where the lines intercept, so it is not a function.

4 0
2 years ago
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Ronch [10]

Answer:

.065

Step-by-step explanation:

The total number of marbles is

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You keep the marble

The total number of marbles is

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Multiply the probabilities together

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4 0
3 years ago
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