3 years ago

X-2 / 2 = 3x + 8 / 4

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

Answer:

x=-3/2 I hope this help man

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Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.

Mama L [17]

Multiplying both sides by $y^2$ gives

$xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1$

so that substituting $v=y^3$ and hence $\frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx}$ gives the linear ODE,

$\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1$

Now multiply both sides by $3x^2$ to get

$x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2$

so that the left side condenses into the derivative of a product.

$\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2$

Integrate both sides, then solve for $v$ , then for $y$ :

$x^3v=\displaystyle\int3x^2\,\mathrm dx$

$x^3v=x^3+C$

$v=1+\dfrac C{x^3}$

$y^3=1+\dfrac C{x^3}$

$\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}$

6 0

3 years ago

Can someone help me plz lol I can't figure this one out

lidiya [134]

$4NO+6H_{2} O\Leftrightarrow4 NH _{3}+5O_{2}$

Step-by-step explanation:

$NO+H_{2} O\rightarrow NH _{3}+O_{2}$

$4NO+6H_{2} O\Leftrightarrow4 NH _{3}+5O_{2}$

8 0

3 years ago

Driving at the speed limit, it takes you 2 hours to drive your delivery truck 100 miles. assuming you drive at the same speed, h

Varvara68 [4.7K]

Speed is the rate of change of distance.
the speed of the truck for the 100 miles within 2 hours is
speed = 100 miles travelled / 2 hours taken
speed = 50 miles/hour
assuming that the driver drives at 50 miles/hr
the time taken to drive 50 miles is - 1 hour
therefore to drive 300 miles - it takes - 300 miles / 50 miles/hr
the time taken is - 6 hours
it takes 6 hours to drive for 300 miles

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3 years ago

Given that a=4, b=3 and c=-4 work out b(squared) -2ac

Lesechka [4]

Answer:

Step-by-step explanation:

b^2 -2ac

Let a=4 b=3 c=-4

( 3)^2 -2 (4) (-4)

Exponents first

9 - 2 (4) (-4)

Multiply

9 + 32

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2 years ago

Read 2 more answers

write an equation in point slope form of the line that passes through the point (3, -1) and has a slope of -2

Marysya12 [62]

Answer:

m= -2

X1=3 Y1= -1

Y-Y1=m(X-X1)

Y-(-1)= -2(X-3)

Y+1= -2X+6

Y=-2X+6-1

Y=2X=5

8 0

2 years ago