Instructor: Prof. M. Kulenović
The objective of this project is to use Maple's symbolic manipulation capabilities to solve certain differential equations and to use Maple's graphics capabilities to plot the required solutions of these equations.
Use Maple's worksheet that you will find in:
1. Consider the Bernoulli differential equation:
(a) Find the general solution of this equation by using dsolve command.
(b) Use dsolve command to find the particular solutions of this equation that satisfies the initial conditions
Plot the obtained solutions along with the direction field.
(c) Use Maple to perform the substitution and transform the initial equation into linear differential equation.
Use Maple to find a solution of the
initial value problem
(b) Plot the obtained solutions along with two more solutions that satisfy the initial conditions
3. (a) Use Abel's formula
and Maple to find a second linearly independent solution of the following differential equation with the given solution:
(b) Use dsolve command to find the particular solution of this equation that satisfies the initial conditions
(c) Plot the obtained solutions along with the direction field.
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