Differential Equations | CET & JEE Competitive Exams | MATHEMATICS | Part 4 of 4

In the concluding part of our Differential Equations series, we tackle application-based problems and multi-step scenarios that are common in CET, JEE Mains, and board exams. This session offers practical guidance on handling real-world applications of differential equations, helping you understand how to apply mathematical principles to solve intricate problems with ease.

We cover critical problem-solving strategies, time management tips, and techniques to maintain accuracy under exam pressure. This part of the series is designed to help you build the skills required for high-stakes exams, providing you with a comprehensive approach to mastering application-based differential equations.

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TIMESTAMPS:

00:00 - Intro
01:23 - Integrating factor of the differential equation 𝑑𝑦/𝑑𝑥 + 1/𝑥 𝑦 = 2𝑥 is
(MTG - EXERSICE - QUES 130 - Page no - 218)
02:11 - Integrating factor of the differential equation cos 𝑥 𝑑𝑦/𝑑𝑥 + 𝑦sin 𝑥 = 1 is
(MTG - EXERSICE - QUES 131 - Page no - 218)
02:45 - Integrating factor of the differential equation 𝑑𝑦/𝑑𝑥 + 𝑦tan 𝑥 − sec 𝑥 = 0 is
(MTG - EXERSICE - QUES 134 - Page no - 218)
03:06 - An integrating factor of the differential equation 𝑥 𝑑𝑦/𝑑𝑥 + 𝑦log 𝑥 = 𝑥𝑒^𝑥x^−1/2 log 𝑥, (𝑥 is greater than 0) is
(MTG - EXERSICE - QUES 143 - Page no - 219)
05:21 - . Integrating factor of differential equation 𝑥 𝑑𝑦/𝑑𝑥 + (1 + 𝑥)𝑦 = 𝑥 is
(MTG - EXERSICE - QUES 138 - Page no - 218)
05:52 - . If the integrating factor of the differential equation 𝑑𝑦/𝑑𝑥 + 𝑃(𝑥)𝑦 = 𝑄(𝑥) is 𝑥, then 𝑃(𝑥) is
(MTG - EXERSICE - QUES 141 - Page no - 219)
06:34 - Integrating factor of the differential equation (1 + 𝑥²) 𝑑𝑦/𝑑𝑥 + 𝑥𝑦 = x is
(MTG - EXERSICE - QUES 137 - Page no - 218)
07:51 - Integrating factor of the differential equation (1 − 𝑥²) 𝑑𝑦/𝑑𝑥 − 𝑥𝑦 = 1 is
(MTG - EXERSICE - QUES 133 - Page no - 218)
08:27 - The integrating factor of the differential equation (1 − 𝑦²) 𝑑𝑥/𝑑𝑦 + 𝑦𝑥 = 𝑎𝑦, −1 is lesser than 𝑦 is lesser than 1 is
(MTG - EXERSICE - QUES 128 - Page no - 218)
09:00 - Integrating factor of the differential equation (𝑥² + 1) 𝑑𝑦/𝑑𝑥 + 2𝑥𝑦 = 𝑥² − 1 is
(MTG - EXERSICE - QUES 129 - Page no - 218)
10:02 - The integrating factor of the differential equation 𝑑𝑦/𝑑𝑥 + 𝑦 (1−𝑥)√𝑥 = 1 − √𝑥 is
(MTG - EXERSICE - QUES 140 - Page no - 219)
12:14 - Solve the differential equation 𝑑𝑦/𝑑𝑥 + 2𝑦 = 𝑒³𝑥.
(MTG - EXERSICE - QUES 150 - Page no - 219)
13:53 - The solution of 𝑑𝑦/𝑑𝑥 + 𝑦 = 𝑒 ^−𝑥, 𝑦(0) = 0 is
(MTG - EXERSICE - QUES 144 - Page no - 219)
14:53 - Solve (𝑥 + 2𝑦³) 𝑑𝑦/𝑑𝑥 = y
(MTG - EXERSICE - QUES 154 - Page no - 219)
16:47 - The integrating factor of the differential equation 𝑥 𝑑𝑦/𝑑𝑥 + 2𝑦 = 𝑥² is
(MTG - EXERSICE - QUES 151 - Page no - 219)
17:04 - Solve the differential equation, 𝑥 𝑑𝑦/𝑑𝑥 + 𝑦 = 𝑥³ given that 𝑦 = 1 when 𝑥 = 2.
(MTG - EXERSICE - QUES 170 - Page no - 220)
18:59 - The solution of 𝑑𝑦/𝑑𝑥 + 𝑃(𝑥)𝑦 = 0 is
(MTG - EXERSICE - QUES 167 - Page no - 2)
19:47 - Solution of the differential equation 𝑥 𝑑𝑦/𝑑𝑥 + 2𝑦 = 𝑥² log 𝑥 is
(MTG - EXERSICE - QUES 151 - Page no - 219)
21:10 - . The solution of the differential equation log 𝑥 𝑑𝑦/𝑑𝑥 + 𝑦/𝑥 = sin 2𝑥 is
(MTG - EXERSICE - QUES 163 - Page no - 220)

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