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1. (Straightforward) In tutorials and assignments we encountered the specific ODE dy(x) dx = - (¹1(2)). F Let us define u(x) = y(x)/x. Find a differential equation for du(x)/dx =???. Thence show that, when rewritten in terms of u and x, this ODE becomes separable.

1. (Straightforward) In tutorials and assignments we encountered the specific ODE dy(x) dx = - (¹1(2)). F Let us define u(x) = y(x)/x. Find a differential equation for du(x)/dx =???. Thence show that, when rewritten in terms of u and x, this ODE becomes separable.

Advanced Engineering Mathematics
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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1.(Straightforward) In tutorials and assignments we encountered the specific ODE dy(x) d.x = F (U(T)) y = Let us define u(x) = y(x)/x. Find a differential equation for du(x)/dx =???. Thence show that, when rewritten in terms of u and x, this ODE becomes separable.
Transcribed Image Text:1.(Straightforward) In tutorials and assignments we encountered the specific ODE dy(x) d.x = F (U(T)) y = Let us define u(x) = y(x)/x. Find a differential equation for du(x)/dx =???. Thence show that, when rewritten in terms of u and x, this ODE becomes separable.
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