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I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear. If linear, indicate the variable where it is linear and if nonlinear, box the term/s that make/s the DE nonlinear DE 1. xy(5)— y(4) + x²y"" = 2yy' 8²w 2. dz ex 5. = y ay d²y 3. (1-x³) a +(sin x)y'-3xy = ln x(3+1) dx² {√{(1+y″)² = [2x*y³ + (v″)* F a³w o²w dz -21 +2ytan w=0 exdy TYPE ORDER DEGREE LINEARITY

I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear. If linear, indicate the variable where it is linear and if nonlinear, box the term/s that make/s the DE nonlinear DE 1. xy(5)— y(4) + x²y"" = 2yy' 8²w 2. dz ex 5. = y ay d²y 3. (1-x³) a +(sin x)y'-3xy = ln x(3+1) dx² {√{(1+y″)² = [2x*y³ + (v″)* F a³w o²w dz -21 +2ytan w=0 exdy TYPE ORDER DEGREE LINEARITY

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear. If linear, indicate the variable where it is linear and if nonlinear, box the term/s that make/s the DE nonlinear DE 1. xy(5) (4) + x²y = 2yy dz ox 2. = y 5. 2رة 3. (1-x3, d²y dx² 4. _{√/(1+y″)² = [2x²y³ +(v″)†‡ + (sin x)y'-3xy = ln x(+1) a³w o²w dz oxdy 2 + 2y tan w = 0 TYPE ORDER DEGREE LINEARITY
Transcribed Image Text:I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear. If linear, indicate the variable where it is linear and if nonlinear, box the term/s that make/s the DE nonlinear DE 1. xy(5) (4) + x²y = 2yy dz ox 2. = y 5. 2رة 3. (1-x3, d²y dx² 4. _{√/(1+y″)² = [2x²y³ +(v″)†‡ + (sin x)y'-3xy = ln x(+1) a³w o²w dz oxdy 2 + 2y tan w = 0 TYPE ORDER DEGREE LINEARITY
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