Mathematics · Partial Differential Equations
Let p ∈ R. Solve the partial differential equation Uxx + Uyy = 0 using separation of variables.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1U(x,y) = (a cos(py2) + b sin(px2))(c epy2 + d e-px)
- 2U(x,y) = (a cos(py) + b sin(px))(c epy2 + d e-px)
- 3U(x,y) = (a cos(py2) + b sin(px2))(c epy2 + d e-py)
- 4U(x,y) = (a cos(px) + b sin(px))(c epy + d e-py)✓
Correct answer
U(x,y) = (a cos(px) + b sin(px))(c epy + d e-py)
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