Exponential growth and decay are critical concepts in calculus, describing processes that increase or decrease at rates proportional to their current value. This video provides a clear and thorough ...

Quarterly of Applied Mathematics, Vol. 64, No. 1 (March 2006), pp. 29-39 (11 pages) Global-in-time classical solutions near Maxwellians are constructed for the generalized Landau equation in a ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...