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The phrase "analytical solution to" is grammatically correct and can be used in written English
It is commonly used in mathematical or scientific contexts to refer to a method or process of finding a solution to a problem using analytical techniques. Example: The researcher proposed an analytical solution to the equation to determine the optimal temperature for the chemical reaction.
Exact(60)
It is quite difficult to obtain analytical solution to (17).
It is difficult to find an analytical solution to (3).
This paper proposes an analytical solution to address this issue.
An analytical solution to the augmented problem has been derived.
An analytical solution to quantify fluid dynamics in non-stress-sensitive NFTRs is proposed.
Hosseini-Hashemi et al. suggested an analytical solution to the investigation and vibration of thick plates.
In this section, we construct an approximate analytical solution to simulate the infiltrate process.
The separation of variables method is employed to find an analytical solution to the model.
However, the analytical solution to the hydrodynamic model in an open reservoir has not been considered.
This paper investigates an analytical solution to a physical model called (2 + 1 -dimensional Zoomeron equation.
In "Benchmark case" section, we develop an exact analytical solution to validate our new reconstruction code.
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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