Find the general solution of y' + 2ty = 0
Do you have a prescribed method (like series?)
If not, it is very simple
Devide the Eq by y and you get
y´/y = -2t
Integrate
ln(y) = -t2
y=exp(-t2) + C
that is the general solution
Hi, the derivative of a function in the direction of a vector is just a scalar product of the (unit) vector with the gradient of the function.
1) get the point P(x0,y0,z0) by plugging pi/3 for t into the parametric equation of the helix. P=(-1,0,pi)
2) get the velocity vector of the helix...
Homework Statement
Hi, I am looking for a hint, how to solve the following Dirichlet problem. All the standard textbooks have only examples for Dirichlet problems in rectangular or polar coordinate systems, but this problem is defined for a parabolic region.
Homework Equations
uxx+uyy=2...