Recent content by Acetv

The method of partial fractions won't work like it normally does here since you can't find integers A and B such that t e^t = A (t + 1) + B You can, however, solve for A and B in terms of your variable t, but it doesn't really make the problem any easier. We might find B = - e^{-1}...

rocomath, is the integral given as a definite integral? It is possible to find the value of the definite integral by using integration by parts (think about the change of variables a bit). I don't really see an easy u-substitution that's going to help you out, but maybe I'm just blind.

One way you can think about it is that your matrices P, V_1 and V_2 are all vectors in \mathbb{R}^{n}. So we have the equation, P = c_1 V_1 + c_2 V_2 Taking the inner product of P with the V_i you get a system of equations for the c_{i}. \langle P,V_1 \rangle = c_1 \langle V_1,V_1 \rangle +...