Solve the diferential equation: dx/dt + Rx^2 + G = 0
G constant = 10^18
R constant = 10^-10
Initial conditions x(0) = 10^8
what aproach to take?
The Attempt at a Solution
First I try to apply bernoulli, but since in this equation I do not have a term x and since also the constat G is different to cero, it was not possible.
Secondly I try to solve in the frequency domain, and using laplace transformation I obtain:
Xs = 2R/s^2 + sx(0) + G
But then, things get complicate trying to convert to time domain for the second and first term becouse the first one implies a delta function in t = 0 and the second one implies a derivations of the inverse transfor of x(0), that is again an impulse sus the derivative of the impulse.
Thank you in advance for taking your time to help me.