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Exact(39)
satisfies the initial value problem,.
Furthermore, it is trivial that (phi _{2} ( x,lambda ) ) satisfies the initial conditions (27 - 28 27 - 28
First, we show that the obtained function satisfies the initial condition.
Function (20) satisfies the initial condition (11) and the natural condition (13) at infinity.
Thus, if x satisfies (44), then it also satisfies the initial condition (2).
The approximate analytical solution is assumed in the form of a sum of a Jacobi elliptic and a trigonometric function which satisfies the initial conditions.
Similar(21)
be the Poincaré succession function and a solution of Eq. (2.2) which satisfies the initial-value condition r | θ = 0 = h.
Solutions of this equation satisfying the condition (i_{l-1} < i< i_{l} ) are found for all i and must satisfy the initial conditions begin{aligned} &n(i_{l} )=n(p)=0, &W(i_{l} )=W(p)=0.
He has satisfied the initial craving of party activists who are searching for a conservative with a sturdy and commanding presence.
The resulting continuous time trajectory is provably guaranteed to satisfy the initial user specification.
The composition process stops when the obtained features satisfy the initial user requirement.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com