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In Problems 1 through 10, find a function y = f(x) satisfy- ing the given differential equation and the prescribed initial condition. dy 1. dx 2x + 1; y(0) = 3 dy 2. = (x – 2)?; y(2) = 1 dx dy Ji; y(4) = 0 dx 4. dx dy 12²>(1) = 5 dy 5. dx y(2) = -1 /x + 2 6. = xVx2 + 9; y(-4) = 0 dx dy x2 +1 10 y(0) = 0 dy 7. dx = cos 2x; y (0) = 1 8. dx dy 9. dx dy y(0) = 0 10. = xe-X; y (0) = 1 dx || || 3.

In Problems 1 through 10, find a function y = f(x) satisfy- ing the given differential equation and the prescribed initial condition. dy 1. dx 2x + 1; y(0) = 3 dy 2. = (x – 2)?; y(2) = 1 dx dy Ji; y(4) = 0 dx 4. dx dy 12²>(1) = 5 dy 5. dx y(2) = -1 /x + 2 6. = xVx2 + 9; y(-4) = 0 dx dy x2 +1 10 y(0) = 0 dy 7. dx = cos 2x; y (0) = 1 8. dx dy 9. dx dy y(0) = 0 10. = xe-X; y (0) = 1 dx || || 3.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In Problems 1 through 10, find a function y = f(x) satisfy- ing the given differential equation and the prescribed initial condition. dy 1. dx 2x + 1; y(0) = 3 dy 2. = (x – 2)?; y(2) = 1 dx dy Ji; y(4) = 0 dx 4. dx dy 12²>(1) = 5 dy 5. dx y(2) = -1 /x + 2 6. = xVx2 + 9; y(-4) = 0 dx dy x2 +1 10 y(0) = 0 dy 7. dx = cos 2x; y (0) = 1 8. dx dy 9. dx dy y(0) = 0 10. = xe-X; y (0) = 1 dx || || 3.
Transcribed Image Text:In Problems 1 through 10, find a function y = f(x) satisfy- ing the given differential equation and the prescribed initial condition. dy 1. dx 2x + 1; y(0) = 3 dy 2. = (x – 2)?; y(2) = 1 dx dy Ji; y(4) = 0 dx 4. dx dy 12²>(1) = 5 dy 5. dx y(2) = -1 /x + 2 6. = xVx2 + 9; y(-4) = 0 dx dy x2 +1 10 y(0) = 0 dy 7. dx = cos 2x; y (0) = 1 8. dx dy 9. dx dy y(0) = 0 10. = xe-X; y (0) = 1 dx || || 3.
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