Find an explicit solution of the given initial-value problem. Determine the exact interval I of definition by
Question:
Find an explicit solution of the given initial-value problem. Determine the exact interval I of definition by analytical methods. Use a graphing utility to plot the graph of the solution.
1. dy/dx = 2x + 1 / 2y, y(-2) = -1
2. (2y - 2)dy/dx 2x2 + 4x + 2, y(1) = -2
3. ey dx – e-x dy = 0, y(0) = 0
4. sinx dx + y dy = 0, y(0) = 1
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1 Separating variables we get The condition y2 1 implies c 1 Thus y 2 x 2 x 1 and y x 2 x 1 in order ...View the full answer
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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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