Explore topic-wise MCQs in Laplace Transform.

This section includes 3 Mcqs, each offering curated multiple-choice questions to sharpen your Laplace Transform knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the (L^{-1} frac{s}{(s^2+4)^2} ).

A. ( frac{1}{4} tcos(2t) )
B. ( frac{1}{4} tsin(t) )
C. ( frac{1}{4} tsin(2t) )
D. ( frac{1}{2} tsin(2t) )
Answer» D. ( frac{1}{2} tsin(2t) )
Discussion
2.

Find the (L^{-1} ( frac{1}{s(s+4)^ frac{1}{2}}) ), give the answer in terms of error function.

A. ( frac{1}{2} erf u2061(2t) )
B. ( frac{1}{2} erf u2061( sqrt{t}) )
C. ( frac{1}{2} erf u2061(2 sqrt{t}) )
D. ( frac{1}{2} erf u2061(4 sqrt{t}) )
Answer» D. ( frac{1}{2} erf u2061(4 sqrt{t}) )
Discussion
3.

Find the (L^{-1} ( frac{1}{s(s^2+4)}) ).

A. ( frac{1-sin u2061(t)}{4} )
B. ( frac{1-cos u2061(t)}{4} )
C. ( frac{1-sin u2061(2t)}{4} )
D. ( frac{1-cos u2061(2t)}{4} )
Answer» E.
Discussion