3 years ago

General solution to differential equation dy/dx=100x+xy

1 answer:

8 0

Dy/dx - xy = 100x

this a first order linear differential equation which can be solved using an integrating factor.

I. F. = e^INT(-xdx) = e^(-1/x^2)

now multiply each term by the IF to solve it

You might be interested in

9y^-5/3y^2r^-3 what is the answer in a fraction

allsm [11]

Answer:

3r^3/y^7.

Step-by-step explanation:

9y^-5 / 3y^2r^-3

9 / 3 = 3

y ^-5 / y^2 = y^-7 = 1 / 7y

1 / r^-3 = r^3

So the answer is 3r^3/y^7.

8 0

3 years ago

Approximately how long is a leg of an isosceles right triangle that has a hypotenuse of length 11.31

Lapatulllka [165]

Answer:

Leg of an isosceles right triangle is 7.99 long.

Step-by-step explanation:

Given:

Length of the hypotenuse =11.31

To find:

Length of the leg of an isosceles right triangle =?

Solution:

According to Pythagorean's Theorem, we have

$a^2 +b^2 = c^2$ -----------------------------(1)

Here were are given as isosceles triangle, so the two sides will be of same length

So equation 1 can be rewritten as

$a^2 +a^2 = c^2$

$2a^2 = c^2$

Substituting the value of hypotenuse

$2a^2 = (11.31)^2$

$2a^2 = 127.91$

$a^2 = \frac{127.91}{2}$

$a^2 =63.955$

$a = \sqrt{63.955}$

a = 7.99

7 0

2 years ago

Roxanna earns 1.5 her normal hourly rate for overtime pay. Last week, Roxanna earned 72.00 I'm overtime pay for 4 hours. What is

stealth61 [152]

72/4 = 18 (18)(2/3) = 12. The answer is $12.00 per hour

6 0

3 years ago

1. All of the following were disadvantages to the Industrial Revolution EXCEPT:

Alinara [238K]

Answer:

B.) Agricultural advances

Step-by-step explanation:

3 0

2 years ago

Simplify the expression (- 13/17) + 4/17

MariettaO [177]

Answer:

-9/17 is the answer

5 0

2 years ago