Math / Calculus

QuestionSolve the separable differential equation $\frac{d y}{d x}=-8 y$ , and find the particular solution satisfying the initial condition $y(0)=9$ . $y(x)=$ $\square$

Studdy Solution
Substitute $C_1$ back into the equation for $y$ :
$y = 9 e^{-8x}$
The particular solution satisfying the initial condition is:
$y(x) = 9 e^{-8x}$

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