MCQ Bank
A second order differential equation of the form \[{x^2}\frac{{{d^2}y}}{{d{x^2}}} + x\frac{{dy}}{{dx}} + ({x^2} - {v^2})y = 0\] is called ________ differential equation.
- A) Picard
- B) Bessel
- C) Bernoulli
- D) Legendre
{\text{Legendres}}\,\,{\text{polynomials}}\,\,{\text{are}}\,\,{\text{specific}}\,\,\_\_\_\_\_\_\_\_\_\,\,{\text{degree}}\,\,{\text{polynomials}}.
- A) n
- B) {n^2}
- C) n - 1
- D) n + 1
The differential equation \[y'' + (\cos x)y = 0\] has ordinary point at ______.
- A) none of them
- B) x=0
- C) x=1
- D) x=-1
\[{\text{The}}\,\,{\text{Legendre}}\,\,{\text{polynomials}}\,\,{\text{can}}\,\,{\text{also}}\,\,{\text{be}}\,{\text{generated}}\,\,{\text{by}}\,\,{\text{Rodrigues}}\,\,{\text{formula}},\,\,{P_n}(x) = \frac{1}{{{2^n}\,n!}}\frac{{{d^n}}}{{d{x^n}}}{({x^2} - 1)^n}.\]
- A) \[{\text{True}}\]
- B) \[{\text{False}}\]
- C)
- D)
A _________ is a passive electronic component of an electronic circuit that has the ability to store charge and opposes any change of voltage in the circuit.
- A) capacitor
- B) voltage
- C) resister
- D) inductor
A / An _______ is a passive electronic component that stores energy in the form of magnetic field.
- A) capacitor
- B) voltage
- C) resister
- D) inductor