General Solution of a Separable Equation with Initial Condition
For:
$$\frac{dy}{dx}=f(x)g(y)$$
the integrated form is:
$$\int\frac{dy}{g(y)}=\int f(x)\,dx+C$$
Usage
- Apply the given initial condition after integration to determine $$c$$.
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CAT Formulas
Differential Equations
General Solution of a Separable Equation with Initial Condition
General Solution of a Separable Equation with Initial Condition
For:
$$\frac{dy}{dx}=f(x)g(y)$$
the integrated form is:
$$\int\frac{dy}{g(y)}=\int f(x)\,dx+C$$
Usage
- Apply the given initial condition after integration to determine $$c$$.
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