Use computer software to obtain a direction field for the given differential equation. By hand, sketch an
Question:
Use computer software to obtain a direction field for the given differential equation. By hand, sketch an approximate solution curve passing through each of the given points.
1. y' = x
(a) y(0) = 0
(b) (-2)
2. y' = x + y
(a) y(-2) = 2
(b) y(1) -3
3. y dy/dx = -x
(a) y(1) = 1
(b) y(0) = 4
4. dy/dx = 1/y
(a) y(0) = 1
(b) y(-2) = -1
5. dy/dx = 0.2x2 + y
(a) y(0) = ½
(b) y(2) = -2
6. dy/dx = xex
(a) y(0) = -2
(b) y(1) = 2.5
7. y' = y – cos π/2 x
(a) y(2) = 2
(b) y(-1) = 0
8. dy/dx = 1 – y/x
(a) y(-1/2) = 2
(b) y(3/2) = 0
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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