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boacung
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Homework Statement
a*dh(t)/dt + h(t) = b * sin(c*t)
How can I get the equation for h(t) from this equation??
a,b,c are constant
Hello boacung. Welcome to PF !boacung said:Homework Statement
a*dh(t)/dt + h(t) = b * sin(c*t)
How can I get the equation for h(t) from this equation??
a,b,c are constant
A differential equation is a mathematical equation that relates a function with its derivatives. It describes the relationship between a quantity and its rate of change.
Differential equations are used in various fields such as physics, engineering, economics, and biology. Some examples include modeling the spread of diseases, predicting population growth, and understanding heat transfer in thermodynamics.
Ordinary differential equations involve a single independent variable, while partial differential equations involve multiple independent variables. Ordinary differential equations are used to model one-dimensional problems, while partial differential equations are used for multi-dimensional problems.
There are different methods for solving differential equations, including separation of variables, variation of parameters, and using Laplace transforms. The appropriate method depends on the type and complexity of the differential equation.
Yes, it is possible to have a differential equation with a solution that cannot be expressed in terms of elementary functions. In such cases, numerical methods can be used to approximate the solution.