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Instructions: For each of the following, classify as an Ordinary Differential Equation (ODE) or a Partial Differential Equation (PDE), give the order, degree and indicate the dependent and independent variables. Also indicate whether the equation is linear or non-linear. Number (No) Degree 1. Type (ODE/PDE) 1. ²+k²x = 0 2. 28² w 8x² 81² 3. (x² + y²) dx + 2xydy + 0 Order Dependent Independent Variable Variable Linear/Non- Linear

Instructions: For each of the following, classify as an Ordinary Differential Equation (ODE) or a Partial Differential Equation (PDE), give the order, degree and indicate the dependent and independent variables. Also indicate whether the equation is linear or non-linear. Number (No) Degree 1. Type (ODE/PDE) 1. ²+k²x = 0 2. 28² w 8x² 81² 3. (x² + y²) dx + 2xydy + 0 Order Dependent Independent Variable Variable Linear/Non- Linear

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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Activity No. 1: Classification of Differential Equation; Order and Degree of Differential Equation; Dependent and Independent Variable; and Linear and Non-Linear Differential Equations Instructions: For each of the following, classify as an Ordinary Differential Equation (ODE) or a Partial Differential Equation (PDE), give the order, degree and indicate the dependent and independent variables. Also indicate whether the equation is linear or non-linear. Number (No) 1. 1. +k²x = 0 ,8²w 2. =a² 8t² 8x² 3. (x² + y²)dx + 2xydy + 0 dt² 8²w Type (ODE/PDE) 4. y' + P(x)y= Q(x) 5. 6. yll - 3y + 2y = 0 8² u 8² u 8x² 8z² 7. x y dt² = 0 = C dt² dl 8. L + Rl = E dt 9. (x+y)dx + (3x² - 1)dy = 0 4 Order 10. (²) ² - 2 (du)*. +yw = 0 Degree Dependent Independent Linear/Non- Variable Variable Linear
Transcribed Image Text:Activity No. 1: Classification of Differential Equation; Order and Degree of Differential Equation; Dependent and Independent Variable; and Linear and Non-Linear Differential Equations Instructions: For each of the following, classify as an Ordinary Differential Equation (ODE) or a Partial Differential Equation (PDE), give the order, degree and indicate the dependent and independent variables. Also indicate whether the equation is linear or non-linear. Number (No) 1. 1. +k²x = 0 ,8²w 2. =a² 8t² 8x² 3. (x² + y²)dx + 2xydy + 0 dt² 8²w Type (ODE/PDE) 4. y' + P(x)y= Q(x) 5. 6. yll - 3y + 2y = 0 8² u 8² u 8x² 8z² 7. x y dt² = 0 = C dt² dl 8. L + Rl = E dt 9. (x+y)dx + (3x² - 1)dy = 0 4 Order 10. (²) ² - 2 (du)*. +yw = 0 Degree Dependent Independent Linear/Non- Variable Variable Linear
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