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HOMOGENEOUS EQUATIONS Detemine the solution of the following differential equations. Choose the corect answer by shading the circle corre sponding to your choice. Show your detailed solutions. 1. (x +2y)dx – 3ydy = 0 x* – 6x²y² + 8xy³ – 3y* = c 3x* – 8x?y² + 6xy³ – y* = c x* + 3x?y² – 4xy³ + 3y* = c o x* + 3x?y? – 6xy³ = c

HOMOGENEOUS EQUATIONS Detemine the solution of the following differential equations. Choose the corect answer by shading the circle corre sponding to your choice. Show your detailed solutions. 1. (x +2y)dx – 3ydy = 0 x* – 6x²y² + 8xy³ – 3y* = c 3x* – 8x?y² + 6xy³ – y* = c x* + 3x?y² – 4xy³ + 3y* = c o x* + 3x?y? – 6xy³ = c

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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HOMOGENEOUS EQUATIONS Detemine the solution of the following differential equations. Choose the correct answer by shading the circle corre sponding to your choice. Show your detailed solutions. 1. (х + 2у)dx — Зуdy %3D 0 x* – 6x?y2 + 8xy³ – 3y4 = c 3x* – 8x?y? + 6xy³ – y* = c x* + 3x?y² – 4xy³ + 3y* = c x* + 3x?y² – 6xy³ = c 2. у3 dx + (ху? - 2х3)dy %3D 0 o x?y? = c(y* – x²) o x?y* = c(y² – x²) o x*y? = c(y? +x²) o x²y? = c(y* +x²) 3. 2хydx - (3ху + 2y?)dy %3D 0 (x – 2y)*(2x + y) = c o (x – y)*(x+ y) = c (x + 2y)(2x – y)* = c (x – 2y)* = c(2x +y) 4. (2st +t?)ds – 3s?dt = 0,when s = 1, t = -1 8st3 = (s – t)² s³t = (t – s)* 8st3 = (t – s)3 o t = (t – s)³ %3D 5. 2ydx - (x —у)dy %3D 0, when x %3D 4, у %3D4 x - y = Vx x +y = 4/ỹ o x+4y = Vx x - Jy = 4 %3D O O
Transcribed Image Text:HOMOGENEOUS EQUATIONS Detemine the solution of the following differential equations. Choose the correct answer by shading the circle corre sponding to your choice. Show your detailed solutions. 1. (х + 2у)dx — Зуdy %3D 0 x* – 6x?y2 + 8xy³ – 3y4 = c 3x* – 8x?y? + 6xy³ – y* = c x* + 3x?y² – 4xy³ + 3y* = c x* + 3x?y² – 6xy³ = c 2. у3 dx + (ху? - 2х3)dy %3D 0 o x?y? = c(y* – x²) o x?y* = c(y² – x²) o x*y? = c(y? +x²) o x²y? = c(y* +x²) 3. 2хydx - (3ху + 2y?)dy %3D 0 (x – 2y)*(2x + y) = c o (x – y)*(x+ y) = c (x + 2y)(2x – y)* = c (x – 2y)* = c(2x +y) 4. (2st +t?)ds – 3s?dt = 0,when s = 1, t = -1 8st3 = (s – t)² s³t = (t – s)* 8st3 = (t – s)3 o t = (t – s)³ %3D 5. 2ydx - (x —у)dy %3D 0, when x %3D 4, у %3D4 x - y = Vx x +y = 4/ỹ o x+4y = Vx x - Jy = 4 %3D O O
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