Exam (elaborations)

APM3700 Assignment 01 Answers Year 2025

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Institution: University of South Africa (Unisa)
Course: Differential Equations (APM3700)

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Uploaded on: March 21, 2025
Number of pages: 11
Written in: 2024/2025
Type: Exam (elaborations)
Contains: Questions & answers

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apm3700

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Differential Equations (Engineering)

Assignment 01 Answers

Year 2025

0027 63 985 5033

,
, QUESTION 1

𝑑𝑦 𝑦 𝑦
− ( ) = 2( )
𝑑𝑥 𝑥 𝑥

This is a separable differential equation

𝑑𝑦 𝑦 𝑦
− ( ) = 2( )
𝑑𝑥 𝑥 𝑥

𝑑𝑦 𝑦
= 3( )
𝑑𝑥 𝑥

𝑑𝑦 1
∫ = ∫ 𝑑𝑥
3𝑦 𝑥

1 1 1
∫ 𝑑𝑦 = ∫ 𝑑𝑥
3 𝑦 𝑥

1
ln|𝑦| = ln|𝑥| + ln |𝑐|
3
1
ln |𝑦|3 = ln |𝑥𝑐|

1
𝑒 ln |𝑦|3 = 𝑒 ln |𝑥𝑐|

1
𝑦 3 = 𝑥𝑐

𝒚 = 𝒄𝟏 𝒙𝟑 𝒘𝒉𝒆𝒓𝒆 𝒄𝟏 = 𝒄𝟑

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APM3700 Assignment 01 Answers Year 2025

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