Eliminate the arbitrary constants.
y = x + Aex + Be-2x
Find the integral surface of (x-y)(p-q) = z(q+1) which contains the circle z=4; x2+y2=42.
Find the integral surface of (x-y)(p-q) = z(q+1) which contains the circle z=4; x2+y2=42.
what is the differential equation having a solution y=cx²+cx?
Solve the following bvp by eigenfunction expansion method.
y''+2y=2-4x, y(0)=0, y(1)+y'(1)=0
uxx=4ut , 0<x<2 , t>0
u(0,t)=5, u(2,t)=10, t>0
u(x,0)=x, 0≤x≤2
Find the transient and steady-state temperature of the above bvp of heat equation
y=C1e^2x + C2e^-x