Solve each of the following initial value problems
It is a homogeneous equation
Put y = vx
And
So,
…… (a)
Comparing coefficients of like power of v,
A = 1 …… (1)
B + D = 0 …… (2)
– B + C + D = 0 …… (3)
A + B + C = – 2 …… (4)
Solving eq.(1),(2),(3) and (40,We get,
A = 1,B = – 1 C = – 2,D = 1
Using eq. (a)
log v – log (v + 1) – log() = log xc
log () = log xc