Success TrackerSuccess Tracker
Log inSign up

GATE ME 2017 Set 1 — Question 4

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+1 / -0.33MediumHigher-Order Linear ODEsDifferential EquationsEngineering MathematicsInitial & Boundary Value Problems

Engineering Mathematics → Differential Equations → Higher-Order Linear ODEs

Last updated

Question

The differential equation d2ydx2+16y=0\frac{d^2y}{dx^2} + 16y = 0 for y(x)y(x) with the two boundary conditions dydx∣x=0=1\left. \frac{dy}{dx} \right|_{x=0} = 1 and dydx∣x=π2=−1\left. \frac{dy}{dx} \right|_{x=\frac{\pi}{2}} = -1 has
Your answer

Choose one option, then check your answer.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE ME 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.

Start with a free accountView plans and allowances

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

More questions on Differential Equations

2026 Set 1 Q11Domain AA is bounded by curve x2=4yx^2 = 4y, ordinate x=2x = 2, and xx axis. The value of…2026 Set 1 Q12Let φ\varphi be a scalar function. Then, ∇φ\nabla\varphi is2026 Set 1 Q13The order and degree of the following differential equation are mm and nn, respectively.…2026 Set 1 Q14Newton-Raphson method for solving algebraic equations is based on2026 Set 1 Q15The exact solution of ∫04dx1+x\int_0^4 \frac{dx}{1+x} is represented as nn. If mm represents…