(Solution Library) (a) Find general solution of the second order (non-linear) differential equation y^prime \prime+(y^prime)^2+1=0 [Hint: Let u=(d y)/(d x) and
Question: (a) Find general solution of the second order (non-linear) differential equation
\[y^{\prime \prime}+\left(y^{\prime}\right)^{2}+1=0\][Hint: Let \(u=\frac{d y}{d x}\) and transform the second order differential equation to a non-linear first order equation.]
(b) (i) Write the rational function \(\frac{4}{s^{3}+4 s}\) as a sum of partial fractions.
(ii) Find \(f(t)\) if \(\mathcal{L}(f)(s)=\frac{4}{s^{3}+4 s}\).
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Deliverable: Word Document 