Recent questions in Engineering Mathematics

If $a$ and $b$ are arbitrary constants, then the solutions to the ordinary differential equation $\dfrac{d^...

For the function $f(t) = e^{-t}/\tau$,the Taylor series approximation for $t\ll$$\tau$ is$1+\frac{t}{\tau}$$1-\frac{t}{\tau}$$1-\frac{t^2}{2\tau^2}$$1+t$

A box containing $10$ identical components has $6$ red balls and $2$ blue balls. If each compartment can hold only one ball, then the number of different possible arrange...

Consider the following set of linear algebraic equations $x{_1} + 2x{_2} + 3x{_3} = 2$ ...

The volume of liquid filled in a spherical storage tank of radius $R$ is computed from height of liquid, $h$, in the outside tube (neglecting the volume of liquid in the ...

The decay ratio for a system having complex conjugate poles as $\left ( -\frac{1}{10}+j\frac{2}{15} \right )$ and $\left ( -\frac{1}{10}-j\frac{2}{15} \right )$ is $7\ti...

Consider the following two equation:$\frac{dx}{dt}+x+y=0$$\frac{dy}{dt}-x=0$The above set of equations is represented by$\frac{d^{2}y}{dt^{2}}-\frac{dy}{dt}-y=0$$\frac{d^...

The fourth order Runge-Kutta ($RK4$) method to solve an ordinary differential equation $\frac{dy}{dx}=f\left ( x,y \right )$ is given as $$y\left ( x+h \right )=y\left ( ...

A watch uses two electronic circuits ($ECs$). Each $EC$ has a failure probability of $0.1$ in one year of operation. Both $ECs$ are required for functioning of the watch....

The figure which represents for $y=\frac{sin \:x}{x}$ for $x>0$ ($x$ in radians) is