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## Homework Statement

Solve the diferential equation: dx/dt + Rx^2 + G = 0

G constant = 10^18

R constant = 10^-10

Initial conditions x(0) = 10^8

## Homework Equations

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.