Tutorial Exercise Solve the differential equation and initial condition and verify that your answer satisfies both the differential equation and the initial condition. Jry = 2x 4 Step 1 The first step is to rewrite the equation with the differential as y2Y = 2x. Now, separate the variables with all functions of y (including the differential dy) alone on one side of the equation and the constant and all functions of x (including dx) on the pther side. Doing this, we get dx y? dy = 2x dx. 2x Step 2 Next, we integrate both sides of our equation using the Power Rule. 2x dx + C
Tutorial Exercise Solve the differential equation and initial condition and verify that your answer satisfies both the differential equation and the initial condition. Jry = 2x 4 Step 1 The first step is to rewrite the equation with the differential as y2Y = 2x. Now, separate the variables with all functions of y (including the differential dy) alone on one side of the equation and the constant and all functions of x (including dx) on the pther side. Doing this, we get dx y? dy = 2x dx. 2x Step 2 Next, we integrate both sides of our equation using the Power Rule. 2x dx + C
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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