Applying an Initial Condition
If the general solution is:
$$y=f(x,C)$$
and:
$$y(x_0)=y_0$$
then:
$$y_0=f(x_0,C)$$
Usage
- Solving this equation determines the constant $$c$$ and hence the particular solution.
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CAT Formulas
Differential Equations
Applying an Initial Condition
Applying an Initial Condition
If the general solution is:
$$y=f(x,C)$$
and:
$$y(x_0)=y_0$$
then:
$$y_0=f(x_0,C)$$
Usage
- Solving this equation determines the constant $$c$$ and hence the particular solution.
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