All categories

3 years ago

Consider the differential equation dydx=6x, dydx=6x, with initial condition y(0)=4y(0)=4.

1 answer:

4 0

Formatting is kind of messed up. I'm assuming the differential equations is dy/dx = 6x

You need to get all the x's on one side and y'all on the other.

dy =6x dx

Integrate both sides.

y = 3x^2 + C

Now plug in the given values

y(0) = 4 = 3(0)^2 + C

C = 0

y = 3x^2

Plug 1 in for x to find the value of y(1)

y(1) = 3(1)^2 = 3

You might be interested in

Debbie has at most $60 to spend on a clothes she wants to buy a pair of jeans for $22 and spend the rest on t-shirts each t-shir

patriot [66]

The inequality to find the maximum number of t-shirts is:

$22+8x\leq 60$

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

$22+8x\leq 60$

The inequality to find the maximum number of t-shirts is:

$22+8x\leq 60$

Keywords: Inequality

Learn more about inequalities at:

#LearnwithBrainly

7 0

3 years ago

Please help. Sine and Cosine rules

kodGreya [7K]

Answer:

a=41.8 BC=2.8

Step-by-step explanation:

sin30/6=sinx/8

8*sin30=6sinx

4=6sinx

sin^-1(4/6)

angle a

cosine rule

bc^2=3^2 +5^2-2(3)(5)*cos30

BC^2= $\sqrt8.019237886\\$

BC=2.83

2.8

3 0

3 years ago

Using the factoring process, what constant is added to the RIGHT side of the quadratic equation 2x2? 9x ___ = ?9 ___ in order to

IgorC [24]

Normally you would only solve by completing the square if a is 1 and b is even. But the answer would be half of b. So half of 9 is 4.5 or 4(1/2).

3 0

3 years ago

Read 2 more answers

What is the surface area of the prism?

Sunny_sXe [5.5K]

three forty eight squared inches

5 0

3 years ago

How many solutions does x2 = 9 have?

MrRa [10]

It should have 2 solutions

5 0

2 years ago

Read 2 more answers