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Home » Get Ready, This is the HOTNEW Batman Movie Everyone’s Talking About! - jntua results

Get Ready, This is the HOTNEW Batman Movie Everyone’s Talking About! - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 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 \( y = 2e^{3x} \).

📌 #### \( 2e^{3x} \)

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Resuelve para \( x \) en la ecuación \( 3^{2x} = 81 \).
Reescribe 81 como \( 3^4 \).
Entonces, \( 3^{2x} = 3^4 \).
Igualando exponentes, \( 2x = 4 \).
Por lo tanto, \( x = 2 \).
Un tren viaja 150 millas a una velocidad de 50 mph, luego otras 200 mi...
Tiempo para la primera parte: \( \frac{150}{50} = 3 \) horas.
Tiempo para la segunda parte: \( \frac{200}{80} = 2.5 \) horas.
Distancia total: \( 150 + 200 = 350 \) millas.
Tiempo total: \( 3 + 2.5 = 5.5 \) horas.

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