Second-Order ODE
Curriculum and historical examination lineage for Second-Order ODE under Unit 3 (Ordinary Differential Equations) of Calculus And Linear Algebra (21MAB101T) at SRMIST.
Historical appearance distribution across SRMIST Formative Tests (CT1, CT2) and University End Semester examinations.
Factual marks weightage of questions asked on this topic in historical examinations.
Question templates that recur across multiple examination cycles with similar conceptual stems.
“The particular integral of (D^2 + 9)y = e^{-2x} is (A) \frac{e^{-2x}}{13} (B) \frac{e^{-2x}}{14}...”
“(a) Solve $D^2 - 3D + 2y = e^{2x}\sin x$. --- OR --- 23. Solve $\frac{d^2 y}{dx^2} + y = \tan x$ by...”
“The particular integral of $(D^2 + 16)y = \cos 4x$ is \\ (A) $\frac{x}{2} \sin 2x$ \\ (B)...”
“(a) Solve $\frac{d^2 y}{dx^2} + 2\frac{dy}{dx} + 3y = 5x^2$. --- OR --- 23. Solve $y'' + y = \sec...”
“Solve $y'' + y = \sec x$ by the method of variation of parameters. (b) Solve $y'' + y = \sec x$ by...”
Representative historical questions extracted directly from SRMIST examination papers.
(a) Solve $\frac{d^2 y}{dx^2} + 2\frac{dy}{dx} + 3y = 5x^2$. --- OR --- 23. Solve $y'' + y = \sec x$ by the method of variation of parameters. (b) Solve $y'' + y = \sec x$ by the...
Solve $y'' + y = \sec x$ by the method of variation of parameters. (b) Solve $y'' + y = \sec x$ by the method of variation of parameters.
Answer part a or b (a) Solve the differential equation x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx} + y = 4 \sin(\log x). --- OR --- 23. Solve the differential equation (D^2 + 3D + 2)y...
Solve the differential equation (D^2 + 3D + 2)y = \sin x.
Solution of (D^2 + 4)y = 0 (A) y = Ae^{2x} + Be^{-2x} (B) y = A \cos 2x + B \sin 2x (C) y = A \cos\sqrt{2}x + B \sin\sqrt{2}x (D) y = A(x + B)e^{2x}
Examinations where questions for Second-Order ODE have appeared.
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