Liouville's formula for certain class of linear operator equations of order n is derived. The result is applied to solving a linear second order operator equation. A number of examples which ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Now, we know that I3 = I1 + I2, so V IN must be a nice linear function of V OUT and I1, namely: where F1 and F2 are functions of R1, R2, C1, and C2—and of frequency. We derived that equation just by ...