Recent content by daemon_dkm

ax + by + cz + dw + e the normal vector from that plane equation is n= (a, b, c, d), so then you need to find a vector that's perpendicular to the normal vector. Then you need to find another vector that's perpendicular to both of them to use them for the parameter form?

Homework Statement Consider the following linear system of equations: x1+2x3-5x4 = 0 x1 + 4x2 +4x3 – 5x4 = 10 x1 + 2x2 + 3x3 – 5x4 = 5 4x1 + 2x2 + 9x3 – 20x4 = 5 b) Solve the equation system with the Gaussian method. c) The solution set describes a plane. Specify it in the parameter...

Homework Statement I'm working on some Differential Equations homework and I'm stuck. The question is apply the translation theorem to find the Laplace transform. f(t) = e^(-t/2)cos2(t-1/8π) I know how to apply the method, I just need to figure out how to transform the cosine...

Thank you! That's just what I needed to know! Because then 0s3 = A3 + C3 => A = -C 0 = B2+D2 0 = B + 3D s = As + 9Cs 1 = -C + 9C 1 = 8C => C = 1/8 so A = -1/8 X(s) = -\frac{1}{8}\frac{s}{s^2+3^2}+\frac{1}{8}\frac{s}{s^2+1} + \frac{8}{8}\frac{s}{s^2+1} x(t) =...

What do I do with the right most part then? Would I set it up like s/[(s²+3²)(s²+1)] + s/(s²+1) = (As+B)/(s²+3²) + (Cs+D)/(s²+1) + s/(s²+1) s = (As+B)(s²+1) +(Cs+D)(s²+3) + s(s²+3²)

Homework Statement "Use Laplace transforms to solve the initial value problem" from section 4.2 in Elementary Differential Equations (6th ed.) Edwards & Penny x'' + x = cos3t; x(0) = 1 & x'(0) = 0 Homework Equations L{coskt} = s/(s²+k²) Apparently the answer is...