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Home » Set numerator of \( I''(t) = 0 \): - ToelettAPP

Set numerator of \( I''(t) = 0 \): - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Thus, 8000 bacteria are present after 12 hours.

📌 Solve the differential equation \( rac{dy}{dx} = 3y \) with initial condition \( y(0) = 2 \).

📌 Separate variables: \( rac{dy}{y} = 3\,dx \).

📌 Integrate both sides: \( \ln|y| = 3x + C \).

📌 Exponentiate: \( y = e^{3x + C} = Ce^{3x} \).

📌 Use \( y(0) = 2 \): \( 2 = Ce^0 \Rightarrow C = 2 \).

📌 So, \( y = 2e^{3x} \).

📌 The solution is \( y = 2e^{3x} \).

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