engineering recuitment BEL Probationary Engineers Mock Test 2025 Engineering Mathematics Transform Theory Fourier Transform
फलन f(t) का लाप्लास रूपांतरण L(t) \( = \frac{1}{{\left( {{s^2} + {\omega ^2}} \right)}}\) है। तो f(t) का मान क्या है?
1
\(f\left( t \right) = \frac{1}{{{\omega ^2}}}\left( {1 - \cos \omega t} \right)\)
2
\(f\left( t \right) = \frac{1}{\omega }\cos \omega t\)
3
\(f\left( t \right) = \frac{1}{\omega }\sin \omega t\;\)
4
\(\;f\left( t \right) = \frac{1}{{{\omega ^2}}}\left( {1 - \sin \omega t} \right)\)