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Exact(9)
Their solutions can be written in elementary functions.
On the other hand, integrable systems are dynamical systems whose solutions can be written down concretely.
At least in Laplace domain, all solutions can be written in closed analytical formulae.
The basic assumption is that the solutions can be written as a power series in (3.2).
It is well known that the Bernoulli and Riccati equations are nonlinear ODEs whose solutions can be written in terms of elementary functions.
By combining these equations, the criterion for oscillatory solutions can be written as d(x) < -frac{1}{x^{2}} - 2 b'(x).
Similar(51)
and its general solution can be written in the form.
Therefore, the optimal solution can be written as follows: (28).
The solution can be written ρ ( s ) to indicate that ρ is subject to s.
Now, the complete solution can be written as θ = θ c + θ p.
As in [22, 23], the solution can be written as (2.12).
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