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Differential equations help us capture the relationships between changing variables. They provide a framework for analysing how different factors interact over time and let us to predict future behavior. Use this resource to learn how to solve differential equations. Introduction to differential equations First order separable First order linear Second...
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- Maths and statistics
- Differential equations
First order linear differential equations are are widely used in various fields, such as physics, engineering, and biology, to model processes like cooling, population growth, and electrical circuits. Understanding how to solve first order linear differential equations helps you analyse and predict the behavior of systems in the real world....
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- Maths and statistics
- Differential equations
The \(x\) and \(y\) terms in first order separable differential equations can be separated to make them easier to solve. These equations are seen when modelling population growth or chemical reactions. Use this resource to learn how to solve them. First order separable differential equations A first order separable differential...
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- Maths and statistics
- Differential equations
Differential equations help us understand and predict behaviours in STEM, where they are used to model phenomena like motion, heat transfer, population dynamics, and financial markets. Use this resource to learn about first order separable differential equations. Differential equations A differential equation is an equation that includes a function and...
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Transforms are another means of solving some differential equations that may prove too difficult to solve using other methods. Download the laplace transforms worksheets to improve your skills in these areas. LT1 Basic definition of laplace transforms (PDF) LT2 Table of transforms (PDF) LT3 Solving differential equations (PDF) LT4 Convolutional...
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- Maths and statistics
- Differential equations
Second order homogeneous differential equations are crucial for modelling natural phenomena, like mechanical vibrations, electrical circuits and wave propagation. By learning how to solve these equations, you can understand and predict how systems behave under various conditions. Second order homogeneous differential equations A second order homogeneous differential equation is an...
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- Maths and statistics
- Differential equations
Second order non-homogeneous differential equations are used to model systems like climate dynamics with variable weather patterns, economic models with fluctuating market forces, and chemical reactions with external catalysts. Understanding how to solve them helps predict system responses to external stimuli. Second order non-homogeneous differential equations A second order non-homogeneous...
