HBTU KANPUR · PYQ LIBRARY

Engineering Mathematics I (past papers) PYQs

1 digitized papers for Engineering Mathematics I (past papers). Open the question paper or its available worked solutions below.

Available question papers

2025-26 · mid sem 1

y=\sin[\log(x^2+2x+1)]

, prove that

(x+1)^2y_{n+2}+(2n+1)(x+1)y_{n+1}+(n^2+4)y_n=0

2025-26 · mid sem 1

Expand

f(x)=x^5-x^4+x^3-x^2+x-1

in the powers of

(x-1)

and find

f(0.99)

2025-26 · mid sem 1

Discuss the convergence of the improper integral

\displaystyle\int_{-\infty}^{\infty}xe^{-x^2}\,dx

2025-26 · mid sem 1

a^2x^2+b^2y^2=c^2z^2

, evaluate

\dfrac{1}{a^2}\dfrac{\partial^2z}{\partial x^2}+\dfrac{1}{b^2}\dfrac{\partial^2z}{\partial y^2}

2025-26 · mid sem 1

u=\dfrac{x^3y^3}{x^3+y^3}

, prove that

x\dfrac{\partial u}{\partial x}+y\dfrac{\partial u}{\partial y}=3u

2025-26 · mid sem 1

Find the area enclosed between the curve

x^2=4y

and the line

x=4y-2

Imported solutions may contain errors. Check calculations against your notes and official syllabus.