Solve the initial value problem. dy = x²(y-6), y(0) = 9 dx The solution is (Type an implicit solution. Type an equation using x and y as the variables.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Solve the initial value problem.

\[ \frac{dy}{dx} = x^2 (y - 6), \quad y(0) = 9 \]

The solution is \[ \boxed{} \]

(Type an implicit solution. Type an equation using \( x \) and \( y \) as the variables.)
Transcribed Image Text:Solve the initial value problem. \[ \frac{dy}{dx} = x^2 (y - 6), \quad y(0) = 9 \] The solution is \[ \boxed{} \] (Type an implicit solution. Type an equation using \( x \) and \( y \) as the variables.)
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