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AlonsoMcLaren
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If an ODE can be written in the form M(x,y)dx+N(x,y)dy=0, where M=δf/δy and N=δf/δx. Why isn't it correct to solve the ODE using the way analogous to the way solving Exact differential equations?
AlonsoMcLaren said:If an ODE can be written in the form M(x,y)dx+N(x,y)dy=0, where M=δf/δy and N=δf/δx. Why isn't it correct to solve the ODE using the way analogous to the way solving Exact differential equations?
An equation that resembles an exact equation will have the same number of variables on both sides and the same degree for each variable.
The first step is to simplify the equation by combining like terms and using basic algebraic operations.
To solve for multiple variables, you will need to use substitution or elimination methods to reduce the equation to one variable.
No, algebraic methods such as substitution and elimination are necessary to solve equations that resemble exact equations.
Some common mistakes to avoid include forgetting to distribute negative signs, incorrectly combining like terms, and not checking the solution for extraneous values.