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Chapter 8: Q8-2-15P (page 398)
In problems 13 to 15, find a solution (or solutions) of the differential equation not obtainable by specializing the constant in your solution of the original problem. Hint: See Example 3
Problem 11
The solution is y=2.
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In Problem 33 to 38, solve the given differential equations by using the principle of superposition [see the solution of equation (6.29)]. For example, in Problem 33, solve three differential equations with right-hand sides equal to the three different brackets. Note that terms with the same exponential factor are kept together; thus, a polynomial of any degree is kept together in one bracket.
By using Laplace transforms, solve the following differential equations subject to the given initial conditions.
when .
when .
The momentum pof an electron at speednear the speedof light increases according to the formula , whereis a constant (mass of the electron). If an electron is subject to a constant force F, Newton’s second law describing its motion is localid="1659249453669"
Find and show that as . Find the distance travelled by the electron in timeif it starts from rest.
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