Find the general solution of
x2y'' + xy' + (x2 - 1/4)y = 0
and express it in terms of trigonometric functions. (You don't actually have to solve the equation from a trial function in this problem, but you must identify the differential equation. Then, you may write the solution and prove...
1. Homework Statement
An Ideal gas and a block of copper have equal volumes V and at the same temperature T and atmosphere pressure P. The pressure on both substances is increased reversibly and isothermally to 5P.
a) Find the work done on the ideal gas if V = 0.5 m and T= 300 K P =...
1. Homework Statement
A substance has an isothermal compressibility k= (aT^3)/(P^2) and an expansivity B = (bT^2)/P where a and b are constants, T is temperature, P is pressure. Find the equation of state of the substance.
2. Homework Equations
B= 1/v(dv/dT) (v is specific volume aka...