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  1. B

    Conceptual question on heat transfer (Steady-state)

    So this isn't a homework problem persay, it was given information but I just couldn't wrap my head on why this was true. We have 1-d heat transfer through a planar slab. If we have a T_a for the temperature outside, then as we T_1 for the temperature on one end of the surface, and T_2 for the...
  2. B

    Setting up a particular equation with (cos(x))^2

    Homework Statement Find a particular solution yp of the differential equation 2y''+9y'+2y=(cos(x))^2 Homework Equations The Attempt at a Solution I'm not really sure where to start? I solve for the homogeneous solution and get C1e^ -4.26556+C2e^-.2344355629=0. I'm just not sure where to...
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    Undetermined Coefficients

    Homework Statement Set up but do not solve for the appropriate particular solution yp for the differential equation y''+25y=2xsin(5x) using the Method of Undetermined Coefficients (primes indicate derivatives with respect to x). Homework Equations The Attempt at a Solution I first solved...
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    Problem with general solution to a complex roots diffy Q

    Homework Statement Question: I'm confused about how to app Find the real-valued general solution of the differential equation y''+1y'+1y=0 where primes indicate differentiation with respect to x. (Use the parameters a, b, etc., for undetermined constants in your solution.) The...
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    Question in complex general equation (2nd order)

    Question: Find the real-valued general solution of the differential equation y''+1y'+1y=0 where primes indicate differentiation with respect to x. (Use the parameters a, b, etc., for undetermined constants in your solution.) My attempt: Use characteristic equation: r^2+r+1=0 I used the...
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    Line Integrals of piecewise curves to find mass of wire

    Homework Statement A wire lies along the piecewise linear curve extending from the point (4,3) to the point (6,15) to the point (12,15). If the density of the wire is given by (xy)=3xy+2y, use a line integral to find the mass of the wire. Homework Equations The Attempt at a Solution...
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    Triple integral with an image given

    Homework Statement Integrate the function f(xyz)=−4x+6y over the solid given by the figure below, if P = (5,1,0) and Q = (-5,1,5). where P=(5,1,0) and Q=(-5,1,5) Homework Equations r²=x²+y² tan theta=y/x z=z y=rsintheta x=rcostheta The Attempt at a Solution So I treated this...
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    Triple Integral problem (maybe using spherical coordiantes)

    Homework Statement Integrate the function f(xyz)=−4x+6y over the solid given by the "slice" of an ice-cream cone in the first octant bounded by the planes x=0 and y=x*sqrt(22/3) and contained in a sphere centered at the origin with radius 13 and a cone opening upwards from the origin with top...
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