KERALA UNIVERSITY Class 1 engineering mathematics i Question Paper 2021

Practice authentic previous year questions for better exam preparation.

Sample Questions

Find the radius of curvature of $\sqrt{x}+\sqrt{y}=\sqrt{a}$ at the point $\left(\frac{a}{4}, \frac{a}{4}\right)$.
(b) Find Laplace transform of
(b) Solve $(3 x+2)^{2} \frac{d^{2} y}{d x^{2}}+3(3 x+2) \frac{d y}{d x}-36 y=3 x^{2}+4 x+1$
(a) If $y=e^{a \sin ^{-1} x}$, show that $\left(1-x^{2}\right) y_{n+2}-(2 n+1) x y_{n+1}-\left(n^{2}+a^{2}\right) y_{n}=0$.
(b) Change into polar co-ordinates and evaluate $\int_{0}^{\infty} \int_{0}^{\infty} e^{-\left(x^{2}+y^{2}\right)} d y d x$.