Mathematics · Partial Differential Equations
Find the solution u(x, t) for the partial differential equation ∂u∂t + 2∂u∂x = 0, given the initial condition u(x, 0) = e-x2.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1u(x, t) = e(x + 2t)2
- 2u(x, t) = e(x - 2t)2
- 3u(x, t) = e-(x - 2t)2✓
- 4u(x, t) = e-(x + 2t)2
Correct answer
u(x, t) = e-(x - 2t)2
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 Partial Differential Equations MCQs →Want more practice questions on Partial Differential Equations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Partial Differential Equations