For each first order ODE, state why or why not the ODE is separable, linear, and/or exact (each one may be more than one). Then, solve each ODE with each of the techniques that apply. (a)dy/dx=(xy + 7y + x + 7)/(3x + 5y + 15 + xy) (b) (√1 − x2)dy/dx = 3 − 5y
For each first order ODE, state why or why not the ODE is separable, linear, and/or exact (each one may be more than one). Then, solve each ODE with each of the techniques that apply. (a)dy/dx=(xy + 7y + x + 7)/(3x + 5y + 15 + xy) (b) (√1 − x2)dy/dx = 3 − 5y
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
For each first order ODE, state why or why not the ODE is separable, linear,
and/or exact (each one may be more than one). Then, solve each ODE with each
of the techniques that apply.
(a)dy/dx=(xy + 7y + x + 7)/(3x + 5y + 15 + xy)
(b) (√1 − x2)dy/dx = 3 − 5y
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