3 years ago

La suma de dos números es 135 y su diferencia 37, hallar los dos números

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

8 0

Answer- 86 and 49

Step-by-step explanation: 86+49=135

86-49=37

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Which number line shows the solution to the inequality −2(3x − 1) < 8?

Liula [17]

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

<u>Solution of the inequality:</u>

−2(3x − 1) < 8 ⇒ Divide both sides by -2, this will change inequality

sign to opposite

3x - 1 > -4 ⇒ add 1 to both sides
3x > -3 ⇒ divide both sides by 3
x > -1 ⇒ answer
x∈ (-1, ∞) ⇒ answer as set

4 0

3 years ago

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

Irina-Kira [14]

$\dfrac{\mathrm dy}{\mathrm dx}+4xy=x$
$\dfrac{\mathrm dy}{\mathrm dx}=x(1-4y)$

This ODE is separable, so you can write

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

Integrating both sides gives

$-\dfrac14\ln|1-4y|=\dfrac12x^2+C$
$\ln|1-4y|=-2x^2+C$
$1-4y=e^{-2x^2+C}$
$1-4y=Ce^{-2x^2}$
$y=\dfrac{1-Ce^{-2x^2}}4$