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I am taking a self study diff e course, and I have run into a problem with no one to ask for help.

Here is the problem:

d/dt [ h^3(t) + 3h(t)^2 + 3h(t) ] = q(t)

h(t) is output.

q(t) is input.

is this Nonlinear First Order Differential Equation.

But I could not expand to Taylor Series for linearization... :/

I'm trying to find the transfer function.

Thanks!