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dx + 2x dx = 2x²y² dy

dx + 2x dx = 2x²y² dy

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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dx + 2xy + 2x²y³ dy Step 1. Rewrite Standard form: your dx + x P ( x ) = x ¹ Q(x) = √ ₁ (dx + 2x + ² = 2x² 4² Ay) dy dv • 2/1 + 2x ( + 7) = 2x²x² DE to standard form of Step 2: Identify PCy) and Q(y) P(x)= = Q(p=24² n=2 Step 3: Solve for Pr(y) and arcy) Pr(y) = (1-1) (P(y)) Pr(y) = (1-2) (+) Pr(y) = (-1) (+) Prcy)==-=-=-4 1- Step 4: Salve for integrating factor (0) •Sprcydy = stdy_ - Sady ja(-y) e e 1 to Step 5: Use the formula for Bernoulli 1-n zØ-SØar (y) dy to, 'Where 2 x x ²₁ ( - y) = S(-y) (-²y²) dy+ c x=²³¹(-y) = S2y³ dy 70 x-¹(-y) = y²⁹ + + + + + + -Y arcy) = (1-1) (α (₂0) ar(y) = (1-2) (2²) ar(y) = (-1)(2²) Q2r(y) = -2y² S Bernoulli X = -Y 1-2 = 7² = x-²) = x + UIT
Transcribed Image Text:dx + 2xy + 2x²y³ dy Step 1. Rewrite Standard form: your dx + x P ( x ) = x ¹ Q(x) = √ ₁ (dx + 2x + ² = 2x² 4² Ay) dy dv • 2/1 + 2x ( + 7) = 2x²x² DE to standard form of Step 2: Identify PCy) and Q(y) P(x)= = Q(p=24² n=2 Step 3: Solve for Pr(y) and arcy) Pr(y) = (1-1) (P(y)) Pr(y) = (1-2) (+) Pr(y) = (-1) (+) Prcy)==-=-=-4 1- Step 4: Salve for integrating factor (0) •Sprcydy = stdy_ - Sady ja(-y) e e 1 to Step 5: Use the formula for Bernoulli 1-n zØ-SØar (y) dy to, 'Where 2 x x ²₁ ( - y) = S(-y) (-²y²) dy+ c x=²³¹(-y) = S2y³ dy 70 x-¹(-y) = y²⁹ + + + + + + -Y arcy) = (1-1) (α (₂0) ar(y) = (1-2) (2²) ar(y) = (-1)(2²) Q2r(y) = -2y² S Bernoulli X = -Y 1-2 = 7² = x-²) = x + UIT
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