Particular solution Definition and 104 Threads

hi, I have this ODE and I need to obtain the general and the particular solution, this is the ODE Vz''+1/r*Vz'= k where k is a constant thanks

Hi all! In this differentail equation, what particular should I try? Is it correct to try "[Asinx + Bcosx + C] exp(-2x)"?

I have a "Solve the initial value problem" It is: y'' + y = 2cosx - 3sinx I know how to do everything except for get yp. I know it has to be something so when i substitute yp into the left hand side of the equation, i get the right hand side, 2cosx - 3sinx. By this definition i would...

Here is the problem... Find the exponential function y=Ce^{kt} that passes through the points (0,4) and (5,1/2). Just by looking at the problem, I know... y=4e^{\frac{-3x \ln{2}}{5}} ...works, but how do you actually work out the problem? I've done it before given a point and the...