how to solve this diff equation?? dx/dt−x^3=x

how to solve this diff equation?? dx/dt−x^3=x

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have you tried Bernoulli's?

dx/dt = x+x^3 divide by x+x^3 multiply by dt

the final answer should be \[x=\pm \sqrt{C ^{2t}/(1-Ce ^{2t})}\]

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