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    Please help with this first order non linear DE!

    Homework Statement (8x^2y^3-2y^4)dx+(5x^3y^2-8xy^3)dy=0 Homework Equations The Attempt at a Solution I've already tried the most logical steps. The equation isn't exact and I couldn't find an integrating factor to make it exact. It's also not homogeneous or separable. I have to be making...
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    Programs Kinda stressed over a major to pick

    Oh sorry if I'm coming off as fishing for compliments, definitely not dude. I have a healthy ego, it's just the way I am when deadlines start coming around. And I'm fairly certain there are plenty of other students like me applying to college as well, so the stress/worrying is probably nerves...
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    Programs Kinda stressed over a major to pick

    Wow, thanks psparky! I don't take a compliment like that lightly. And engineering research definitely sounds interesting, I just don't want to get to a point where I'm stuck doing something and I realize it's not my passion. Also, I'm touching up my questbridge essays (it's a scholarship for...
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    Programs Kinda stressed over a major to pick

    Thanks for all the replies guys! To camjohn, I've always thought professional research would be something I would enjoy, but unfortunately I have no idea yet. One thing I've always wanted was a doctorate so there's that too. But most importantly I think is that I want to be able to benefit...
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    Programs Kinda stressed over a major to pick

    So I have a slight dilemma. I'm a senior in high school right now and I absolutely love math and physics. When I go to college, I don't know whether I should major in math, engineering, or physics . I'll assume that you guys would usually tell someone in my position to not worry about it because...
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    Integral by Trig Substitution, Calc 2

    I decided to back substitute into x, i thought converting the limits would be a hassle on this question. I think my issue was getting a sin4θ and not knowing any quick identities to simplify. Oh well, thanks for the response
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    Integral by Trig Substitution, Calc 2

    Homework Statement The definite integral of ∫(x^2 √(a^2-x^2) dx from 0 to a Homework Equations The Attempt at a Solution So i don't need actual help with this problem. I got the answer, (π*a^4)/16 and I verified with the back of the book. The question I have is whether this...
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