Definite and indefinite integrals and the Fundamental Theorem of Calculus. Simple differential equations (separable ODE, linear ODE). ODE models leading to exponential growth and decay.

Engineers design safer cars, more resilient spacecraft, and stronger bridges using complex math problems that drive the ...

When integrating simple expressions ... out when additional information is given in the question, . Find the equation of the curve for which \(\frac{{dy}}{{dx}} = 4{x^3} + 6{x^2}\) ...

He writes: “My submission is a numerical solution to a simple differential equation in a domain shaped like the Hackaday logo.”. If you want to know more, ask in the comments and hopefully he ...

This is illustrated with one simple example. Consider the differential equation that models the liquid level h in a tank with cross-sectional area A: ...

Many physical phenomena – including heat transfer, fluid flow and electromagnetic wave propagation, to name just three – can be described using partial differential equations (PDEs). Apart from a few ...

In this section we present two simple examples to show the importance of differential equations in engineering applications. Example H.1 A 1 F capacitor is being charged by a constant current I. Find ...