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Solve the given differential equations using the indicated method. Show a clear step-by-step solution. 1. Non-Exact DE (4x? – 4xy + 3y² + 2x – 3y)dx +x(2x – 2y + 1)dy = 0 %3D 2. DE with Integrable Combination (у + ху + 1)dx + (x? + ху? + 2у)dy %3D 0. 3. Linear DE of Order one 2y(у? — х)dy — = dx 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx 5. Simple Substitution dy = tan y cotx dx sec y cos x Hint: First express the functions in terms of sine and cosine.

Solve the given differential equations using the indicated method. Show a clear step-by-step solution. 1. Non-Exact DE (4x? – 4xy + 3y² + 2x – 3y)dx +x(2x – 2y + 1)dy = 0 %3D 2. DE with Integrable Combination (у + ху + 1)dx + (x? + ху? + 2у)dy %3D 0. 3. Linear DE of Order one 2y(у? — х)dy — = dx 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx 5. Simple Substitution dy = tan y cotx dx sec y cos x Hint: First express the functions in terms of sine and cosine.

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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Differential Equations
Solve the given differential equations using the indicated method. Show a clear step-by-step solution. 1. Non-Exact DE (4x2 – 4xy + 3y² + 2x – 3y)dx + x(2x – 2y + 1)dy = 0 2. DE with Integrable Combination (y3 + xy + 1)dx + (x² + xy² + 2y)dy = 0. 3. Linear DE of Order one 2y(y? – x)dy = dx 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e-2x² dx 5. Simple Substitution dy = tan y cotx – sec y cOS X dx Hint: First express the functions in terms of sine and cosine.
Transcribed Image Text:Solve the given differential equations using the indicated method. Show a clear step-by-step solution. 1. Non-Exact DE (4x2 – 4xy + 3y² + 2x – 3y)dx + x(2x – 2y + 1)dy = 0 2. DE with Integrable Combination (y3 + xy + 1)dx + (x² + xy² + 2y)dy = 0. 3. Linear DE of Order one 2y(y? – x)dy = dx 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e-2x² dx 5. Simple Substitution dy = tan y cotx – sec y cOS X dx Hint: First express the functions in terms of sine and cosine.
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