Question

Rearrange the equation into standard form: 3dy * (1/4) * 3xy * dx = xdy

Answer 1

The equation was rearranged from '3dy * (1/4) * 3xy * dx = xdy' to standard form by multiplying and combining like terms to get '(9/4)xydydx - xdy = 0'.

Step-by-step explanation:

To rearrange the given equation into standard form, we first simplify and then combine like terms. The equation provided by the student is:

3dy * (1/4) * 3xy * dx = xdy.

Let's simplify step by step:

1. Multiply 3dy by (1/4) to get (3/4)dy.
2. Multiply the result by 3xy to get (9/4)xydy.
3. Multiply the result by dx to get (9/4)xydydx.
4. Now we have the equation (9/4)xydydx = xdy.
5. To rearrange into standard form, we want to isolate terms to one side, so we can subtract xdy from both sides: (9/4)xydydx - xdy = 0.
6. This gives us the equation in standard form.

By following these steps, we have successfully rearranged the equation into standard form.