general solution

USAGE SUMMARY

The phrase "general solution" is correct and can be used in written English.
It is commonly used in mathematics and science to refer to a solution that applies to a wide range of situations. Example: "The general solution to this differential equation can be applied to various types of physical systems."

✓ Grammatically correct

Science

Academia

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The general solution and the ground state.

Nature

General solution for first-order networks.

Stanford University

If so, find the most general solution.

Stanford University

The general solution strategy is briefly described.

Computer Aided Chemical Engineering

We give a general solution for the resultant equations.

Optics Communications

A simple example is provided to illustrate the general solution.

Procedia Manufacturing

The singular solution is related to the general solution by its being what is called the envelope of that family of curves representing the general solution.

Britannica

This might work in limited domains, but it is unlikely to work as a general solution.

The New Yorker

A general solution is obtained in polar coordinates.

International Journal of Solids and Structures

This general solution is easy and convenient for application.

Composite Structures

Their general solution is obtained using state-space technique.

Journal of Sound and Vibration

Expert writing Tips

Best practice

When writing about a "general solution", ensure that you clearly define the scope and limitations of its applicability. Specify which situations or problems it effectively addresses and under what conditions it might not be suitable.

Common error

Avoid presenting a "general solution" as a universal fix. Acknowledge that even the most comprehensive solutions may have exceptions or require adjustments based on specific circumstances.

Linguistic Context

The phrase "general solution" functions primarily as a noun phrase, typically acting as the subject or object of a sentence. It denotes a solution applicable to a broad set of problems or scenarios. Ludwig AI confirms its standard usage.

Expression frequency: Very common

Frequent in

Science

73%

Academia

13%

Encyclopedias

8%

Less common in

News & Media

5%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "general solution" is a common and grammatically correct term, predominantly used in scientific and academic fields to denote a solution applicable to a broad range of problems. Ludwig AI confirms its validity. While alternatives like ""overall solution"" or ""general approach"" exist, "general solution" maintains a specific and widely recognized meaning. When employing the phrase, it is crucial to define the scope and limitations of its applicability to avoid overstating its generality. Its high frequency in authoritative scientific sources underscores its importance in technical discourse.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

generalised solution

Uses the British English spelling of "generalized".

overall solution

Highlights the comprehensiveness or entirety of the solution.

general resolving

Replaces "solution" with a term emphasizing the act of finding a solution.

general answer

Substitutes "solution" with a simpler term for a resolution or reply.

general response

Replaces "solution" with a broader term for reaction or answer.

general outcome

Focuses on the result or consequence instead of the method to get there.

general option

Indicates a possible course of action that is applicable in many cases.

general conclusion

Shifts the emphasis towards a concluding statement or judgment.

general resolve

Emphasizes the decision or determination to solve something.

general decision

Focuses on the choice or judgment made in relation to the solution.

FAQs

How do you use "general solution" in a sentence?

The phrase "general solution" refers to a solution that applies broadly across a variety of contexts. For example, "The "general solution" to this differential equation can be adapted for numerous physical systems."

What is an alternative to "general solution"?

Alternatives to "general solution" include "overall solution", "general approach", or "generalised solution", depending on the specific nuance you want to convey.

Is it appropriate to use "general solution" in formal writing?

Yes, "general solution" is appropriate for formal writing, particularly in scientific, academic, and technical contexts. It accurately describes a solution with broad applicability.

What's the difference between "general solution" and a particular solution?

A "general solution" provides a formula or method to find all possible solutions to a problem, while a particular solution is a specific instance derived from the "general solution" using specific initial conditions or constraints.