How do I solve a non-linear equation in Sympy?

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How do I solve a non-linear equation in SymPy which is of the form

y = P*x + Q + sqrt(S*x + T)

where I know y(0), y'(0), y(c), y'(c). I want to find P, Q, S and T. and represent y as a function of x.

I am getting very confused with the documentation. Please help.

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