- #1
stasianlov
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find general solution for differential equation dy/dt=2ty+4e^(t^2)
i got e^(t^2)(4t+k) is that right?
i got e^(t^2)(4t+k) is that right?
stasianlov said:find general solution for differential equation dy/dt=2ty+4e^(t^2)
i got e^(t^2)(4t+k) is that right?
A general solution is a mathematical formula or equation that represents all possible solutions to a problem or set of equations. It is not a specific solution, but rather a set of solutions that can be obtained by plugging in different values for variables.
A particular solution is a specific solution to a problem or set of equations, while a general solution represents all possible solutions. A particular solution will have specific values for variables, while a general solution will have variables that can be replaced with different values to obtain different solutions.
A general solution is needed when there are multiple solutions to a problem or set of equations. It is also useful when trying to find a pattern or trend in a set of data.
To find a general solution, you need to solve the problem or set of equations using algebraic methods, such as substitution or elimination. This will result in a formula or equation with variables that represent all possible solutions. You can also use graphs or tables to find a general solution by identifying patterns.
Finding a general solution is important because it allows us to understand and analyze a problem or set of equations more comprehensively. It also helps us to find all possible solutions and identify patterns or trends that may not be evident when only looking at a particular solution. Additionally, a general solution can be used to find specific solutions by plugging in values for variables.