Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lilMissMindset Group Title

help me solve this DE please. (2x+y)dx - (3x+2y-2)dy=0

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think that you must start by simplifying. Find the derivative of (2x+y) with respect to x, and then find the derivative o f (3x+2y-2) with respect to y. Let's look at the derivative you want to take with respect to x, (2x+y). Since dx is of both terms, you must take the derivative of each term with respect to x. It's just like 2x dx + y dx, right? 2x = 2(x^1) So to do the derivative, you multiply the term by x's exponent (1), and then you finish by subtract 1 from that exponent (so it's 1-1). (1) (2(x^(1-1))) = (1) (2(x^0)) = (1) (2(1)) = (1) (2) = 2. y = y(1), and 1 is the result of anything to the zeroeth power - even x to the zeroeth power. y = y(x^0) So do the same thing. You multiply the term by x's exponent (0), and then you finish by subtract 1 from that exponent (so it's 0-1). (0) (y(x^(0-1))) You can stop when you see something multiplied by "0". The whole term is obviously 0. That's what it would come down to, anyway. So 2x dx is 2 and y dx is 0. So (2x + y)dx is (2+0) = 2. For your whole equation, you must finish 2 - (3x + 2y - 2)dy = 0 So for (3x + 2y - 2) you'll be looking at the exponents of y in each term. Do 3x dy, then 2y dy, then 2 dy. Then calculate what's left. Do that and you'll show that, by simplifying the left side of the original equation, it obviously equals the right side of the equation.

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.