GATE EC 2016 Set 3 — Question 36

MCQ+2 / -0.67MediumHigher-Order Linear ODEsDifferential EquationsEngineering MathematicsInitial & Boundary Value Problems

Engineering Mathematics → Differential Equations → Higher-Order Linear ODEs

Last updated 5 September 2026

Question

\frac{d^2y}{dx^2} + 12\frac{dy}{dx} + 36y = 0 \text{ with } y(0) = 3 \text{ and } \left.\frac{dy}{dx}\right|_{x=0} = -36

\frac{d^2y}{dx^2} + 12\frac{dy}{dx} + 36y = 0

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

\frac{d^2y}{dx^2} + 12\frac{dy}{dx} + 36y = 0

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.