Explore topic-wise MCQs in Ordinary Differential Equations.

This section includes 2 Mcqs, each offering curated multiple-choice questions to sharpen your Ordinary Differential Equations knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the laplace transform of f(t), where f(t) = |sin(pt)| and t>0.

A. ( frac{p}{s^2+p^2} cosh u2061( frac{s pi}{2p}) )
B. ( frac{p}{s^2+p^2} sinh u2061( frac{s pi}{2p}) )
C. ( frac{p}{s^2+p^2} coth u2061 u2061( frac{s pi}{2p}) )
D. ( frac{p}{s^2+p^2} tanh u2061 u2061( frac{s pi}{2p}) )
Answer» D. ( frac{p}{s^2+p^2} tanh u2061 u2061( frac{s pi}{2p}) )
Discussion
2.

Find the laplace transform of f(t), where
f(t) = 1 for 0 < t < a

A. n-1 for a &lt; t &lt; 2a
B. ( frac{1}{s} coth u2061( frac{as}{2}) )
C. ( frac{1}{s} sinh u2061( frac{as}{2}) )
D. ( frac{1}{s} e^{-as} )
E. ( frac{1}{s} tanh u2061( frac{as}{2}) )
Answer» E. ( frac{1}{s} tanh u2061( frac{as}{2}) )
Discussion