use the separation of variables method to solve 4uxx = utt, 00, ux(0,t)=ux(2,t)=0, u(x,0)=x，ut（x,0)=0

Q: find general solution of (x^2 +y^2 +z^2)p +(x^2 +y^2 -xz)q = z(x+y)

A: Given equation is(x2+y2+z2)p+(x2+y2-xz)q=z(x+y)

Q: х2у" + x(x-1)у' + (1-x)у %3D 0

A:

Q: 1. Find a vector valued function that represents the curve of intersection of the semi-ellipsoid x²…

A: The equation of the semi-ellipsoid is The cylinder is

Q: x=4 y=5 z=(x÷y×√y-x^2)/(y×√y-√x-2/(√x+√3)) solve with betlab

A: We need to evaluate the expression: (x÷y×y-x2)/(y×y-x-2/(x+3)) for x=4, y=5 using a computer algebra…

Q: Solve z" + 2z" – 4z' – 8z = 0 -

A: We solve this question by simple techniques used to solve homogeneous differntial equation