Is there another solution besides QQoetRC to RdQdtQC0 Why or

Is there another solution besides Q=Qoe^(-t/RC) to R*(dQ/dt)+(Q/C)=0? Why or whynot?

Solution

Here,

for R * dQ/dt + Q/C = 0

dQ/dt = - Q/(R *C)

dQ/Q = -1/RC * dt

integrating

ln(Q) = -t/RC + C1

Q = e^C1 * e^(-t/RC)

for e^C1 = Qo

Q = Qo * e^(-t/RC)

hence ,this equation has only one solution