Can you show me a simple step by step method on how to solve these two problems:   1. Solve y′ = 1−y^2/x and determine the solution that satisfies y(1) = 0. 2. Solve y′ = y ln(y) with the initial condition y(1) = e.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
Question

Can you show me a simple step by step method on how to solve these two problems:  

1. Solve y′ = 1−y^2/x and determine the solution that satisfies y(1) = 0.

2. Solve y′ = y ln(y) with the initial condition y(1) = e.

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