GATE 2022 PI – Question 24
Engineering Mathematics · Differential Equations · 1 mark · Numerical answer
Find the order of $(dy/dx)^2+5\,dy/dx+4y=5x^3$ (integer).
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 1 to 1
Explanation
The highest derivative appearing is dy/dx, of first order. Squaring it changes degree, not order. Therefore **order = 1**.
More Differential Equations questions
- GATE 2022 PI Q37 – Find the general solution of 4y-4y+y=0, with arbitrary constants c₁,c₂.
- GATE 2026 PI Q60 – dy/dt=2y and y(0) = 2. Find y(1), rounded to two decimals.
- GATE 2025 PI Q13 – If F(s) is the Laplace transform of f(t), find the transform of ebtf(t) for real constant…
- GATE 2025 PI Q14 – Which differential equation is linear?
- GATE 2025 PI Q36 – Solve dy/dx+y=ex with y(0) = 0.
- GATE 2024 PI Q46 – x(t)+4x(t)=e-t for t ≥ 0, with x(0) = x′(0) = 0. Find x(π/8) to three decimals.
All Differential Equations questions →