abrowaqas said:oh yes... thanks LCKurtz..
but Variation of Parameters taking too long..
do you have any other method to solve it..
A particular integral is a specific solution to a differential equation that takes into account the initial conditions of the problem. It is used in conjunction with the general solution to find the complete solution to the differential equation.
To find the particular integral, you will need to use a method such as the method of undetermined coefficients or the method of variation of parameters. These methods involve finding a particular form of the solution and substituting it into the differential equation to solve for the coefficients.
No, the method you use to find the particular integral will depend on the form of the differential equation. Some methods may work better for certain types of equations, so it is important to understand the different methods and choose the appropriate one for your particular equation.
Yes, knowledge of calculus is necessary to find the particular integral of a differential equation. You will need to be familiar with integration, derivatives, and other calculus concepts to use the methods for finding the particular integral.
You can find the particular integral by hand, but it can be a complex and time-consuming process. It may be more efficient to use a computer or calculator to solve the differential equation and find the particular integral. However, it is important to understand the steps involved in finding the particular integral by hand in order to fully understand the solution.