Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Section 4.1 p. 362/364 # 16
Verify that the following functions are solutions to the given differential equation.
sin x
16 y = e* +
cos x
solves y' = cos x + y
Imagine the results of your experiment is an ordinary differential equation. x*dy +4x³ydx = 0
a) Write the ordinary differential equation in separable form. Solve.
b) Write the ordinary differential equation in scientific notation. Solve and show that b) and a)
both have the same solution.
c) Is this ordinary differential equation level 1? Why?
Solve the given differential equation by using an appropriate substitution. The DE is of the form
= f(Ax + By + C), which is given in (5) of Section 2.5.
dx
dy
= tan2(x + y)
xp
Chapter 3 Solutions
Advanced Engineering Mathematics
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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