Solve x (az + √2) dx y (az + √2) sin (ay²) dy + (az − √2) dz = 0 4√/2ln |az + √2 = C 4√/2ln|az + √√2|= C 4√2ln |az + √2 = C O a. ax² + acos (ay²) + 2az O b. ax² a cos (ay²) + 2az c. ay² + acos (ay²) + 2az

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 2E
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Solve the differential equation using the separation of variables. Provide a complete solution. Use a handwritten and step-by-step calculation without the use of calculator. Explain the process and simplify your answer.
Solve
x (az + √2) dx
-
a cos
y (az + √2) sin (ay²) dy + (az - √2) dz = 0
O a. ax² + acos (ay²) + 2az
O b. ax²
(ay²) + 2az
c. ay² + a cos (ay²) + 2az
-
4√2ln az + √2 = C
4√2ln |az + √√2 = C
4√√/2ln |az + √√2 = C
Transcribed Image Text:Solve x (az + √2) dx - a cos y (az + √2) sin (ay²) dy + (az - √2) dz = 0 O a. ax² + acos (ay²) + 2az O b. ax² (ay²) + 2az c. ay² + a cos (ay²) + 2az - 4√2ln az + √2 = C 4√2ln |az + √√2 = C 4√√/2ln |az + √√2 = C
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