All categories

4 years ago

What is the general solution to the ODE

1 answer:

5 0

we are given the ordinary differential equation of dy/dx = 2y+1. The ODE is variable separable which means x and y can be grouped altogether explicitly. In this case, the equation becomesdy / 2y + 1 = dx
1/2 ln (2y + 1) = x + ln Cln (2y + 1) = 2x + ln C2y + 1 = C e 2x y = (C e 2x - 1)/2

The ODE y' + xy = x can be grouped into y' + x(y-1) = 0 'y' / y-1 = -xThis is variable separable

You might be interested in

Shea is making a lot of plates of cookies for his friends. He makes a total of 18,698 cookies and spilts it into 297 equal plate

slavikrds [6]

Answer:

Shea's coworkers received .89 of a cookie each.

Step-by-step explanation:

18,698/297 = 62.9 rounded to 63

63/71 = .887 rounded to .89

.89 cookies

8 0

3 years ago

If F(x) = 5x - 7 and G(X) = x2 - 41, what is G(F(x))?

Viktor [21]

C is the answer to this

4 0

3 years ago

Help me Solve 1/6 ÷ 2/6 please

pochemuha

$\frac{1}{6}$ ÷ $\frac{2}{6}$

First, apply this following rule: $a$ ÷ $\frac{b}{x} = a$ × $\frac{c}{b}$
$\frac{1}{6}$ × $\frac{6}{2}$
Second, apply this following rule: $\frac{a}{b}$ × $\frac{c}{d} = \frac{ac}{bd}$
$\frac{1x6}{6x2}$
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
$\frac{6}{12}$
Fourth, find the GCF of 6 and 12.
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
$6$ ÷ $6 = 1$
Sixth, divide the denominator by the GCF.
$12$ ÷ $6 = 2$
Seventh, collect the new numerator and new denominator.
$\frac{1}{2}$

Answer as fraction: $\frac{1}{2}$
Answer as decimal: 0.5

8 0

4 years ago

Rotate point H 90 degrees counterclockwise about the origin. What is the algebraic expression?

Fiesta28 [93]

I think it’s B
Sorry if I’m wrong

8 0

3 years ago

Look at ΔABC and its 90° rotation.<br> <br> If AB is 8 inches long, what is the length of A'B' ?

chubhunter [2.5K]

Because the triangle is only rotated, AB and A'B' would be equal. 8 in.

3 0

3 years ago

Read 2 more answers