Recent content by sanhuy

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    First order separable Equation ODE

    I just noticed this as well. BTW I was just wondering the way I got rid of my absolute values was correct right, regardless of the general problem i stated?
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    First order separable Equation ODE

    both solutions work, but my webwork says the first one is wrong
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    First order separable Equation ODE

    if y(x) > 5 then |y-5| = (y-5) and if y(x) <= 5 we get |y-5| = -(y-5) ? then we get two solutions that i posted above again? Am i missing something here
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    First order separable Equation ODE

    Since 2e^−sinx>0 you can drop the absolute sign correct? then it becomes y=5−2e^−sinx?
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    First order separable Equation ODE

    Homework Statement \frac{dy}{dx}\:+\:ycosx\:=\:5cosx I get two solutions for y however only one of them is correct according to my online homework (see attempt at solution) Homework Equations y(0) = 7 is initial condition The Attempt at a Solution \int \:\frac{1}{5-y}dy\:=\:\int...
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    Basic 1-d dynamics with a bit of calculus.

    Oh I see. So, just to confirm, v hat is the unit vector that points in the direction of the velocity correct?
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    Basic 1-d dynamics with a bit of calculus.

    I understand that the velocity should decrease, but isn't acceleration in the same direction as the drag force so they should have the same signs in the force equation? This is quite non - intuitive for me.
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    Basic 1-d dynamics with a bit of calculus.

    Homework Statement A 500 kg boat moves with an initial speed of 20 m/s turns off it engine and slows down due to the drag force. If this force has magnitude F= 15.3v^2 find the boat speed after 12 seconds.Homework Equations ∑F = ma dv = adt The Attempt at a Solution taking the side opposite...
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    Gauss's Law and Electric Field Question.

    Well it only encloses the charge Q not q. So is the electric field calculated at P1 only due to Q? and the electric field due to q is zero at point P1 because of gauss's law? is this correct? thanks.
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    Gauss's Law and Electric Field Question.

    wait, is the electric field inside of a shell zero due to symmetry if the charge is uniformly distributed on the spherical shell?
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    Gauss's Law and Electric Field Question.

    Sorry, Let me rephrase my question because there may be some misinterpretation. is the electric field that the book found using gauss's law the total electric field or just the electric field due to Q (the point charge only).
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    Gauss's Law and Electric Field Question.

    I believe it states that the total electric flux out of / into a closed surface is equal to the charge enclosed divided by the permittivity. it pretty much relates the electric field at points on a closed surface to the net charge enclosed by that surface.
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