Mathematics · Differential Equations
मान लीजिए कि x 1 (t) और x 2 (t) निम्नलिखित प्रारंभिक मान समस्या (initial value problem) के हल हैं: e -t dx 1 dt = -x 1 + x 2 e -t dx 2 dt = -x 1 - x 2 जहाँ x 1 (0) = 1, x 2 (0) = 0 है। यदि r(t) = √(x 1 2 (t) + x 2 2 (t)) है, तो निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1जैसे-जैसे t → +∞, r(t)e t → 0
- 2r(ln 2) = 2e -1
- 3r(ln 2) = e -1
- 4जैसे-जैसे t → +∞, r(t) → 0✓
सही उत्तर देखें
जैसे-जैसे t → +∞, r(t) → 0
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Differential Equations MCQs →Want more practice questions on Differential Equations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Differential Equations