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An equation for electric current A. I = V/R В. у' %3 8х + 6 An equation for a linear curve 100 С. y= I (8x + 6)dx a constant A 1st order differential equation D.y'-8x-6 = 0 A 2nd order differential equation Е. у" %3D 8 An ordinary differential equation (1st order) F. Y = 8x +6 G. dz = 8xdx + 8dy A partial differential equation H. 12.23154687854 An integration equation

An equation for electric current A. I = V/R В. у' %3 8х + 6 An equation for a linear curve 100 С. y= I (8x + 6)dx a constant A 1st order differential equation D.y'-8x-6 = 0 A 2nd order differential equation Е. у" %3D 8 An ordinary differential equation (1st order) F. Y = 8x +6 G. dz = 8xdx + 8dy A partial differential equation H. 12.23154687854 An integration equation

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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### Math Nomenclature Touch base for some math nomenclatures. Optimize to 1 to 1 and use all if there are 1 to more connections. #### Options: 1. **An equation for electric current** 2. **An equation for a linear curve** 3. **A constant** 4. **A 1st order differential equation** 5. **A 2nd order differential equation** 6. **An ordinary differential equation (1st order)** 7. **A partial differential equation** 8. **An integration equation** #### Choices: A. \( I = \frac{V}{R} \) B. \( y' = 8x + 6 \) C. \[ y = \int_{0}^{100}{(8x + 6)dx} \] D. \( y' - 8x - 6 = 0 \) E. \( y'' = 8 \) F. \( y = 8x + 6 \) G. \( dz = 8x\,dx + 8y \) H. 12.23154687854 ### Detailed Explanation of Equations: - **Equation for Electric Current:** - **Choice A:** \( I = \frac{V}{R} \) - This is Ohm's Law, representing the relationship between current (I), voltage (V), and resistance (R). - **Equation for a Linear Curve:** - **Choice F:** \( y = 8x + 6 \) - This is the equation of a straight line in slope-intercept form, where 8 is the slope and 6 is the y-intercept. - **A Constant:** - **Choice H:** 12.23154687854 - This is a constant value. - **1st Order Differential Equation:** - **Choice B:** \( y' = 8x + 6 \) - This represents a first-order differential equation, where \( y' \) denotes the first derivative of y with respect to x. - **2nd Order Differential Equation:** - **Choice E:** \( y'' = 8 \) - This is a second-order differential equation, where \( y'' \) denotes the second derivative of y with respect to x. - **Ordinary Differential Equation (1st Order):** - **Choice D:** \(
Transcribed Image Text:### Math Nomenclature Touch base for some math nomenclatures. Optimize to 1 to 1 and use all if there are 1 to more connections. #### Options: 1. **An equation for electric current** 2. **An equation for a linear curve** 3. **A constant** 4. **A 1st order differential equation** 5. **A 2nd order differential equation** 6. **An ordinary differential equation (1st order)** 7. **A partial differential equation** 8. **An integration equation** #### Choices: A. \( I = \frac{V}{R} \) B. \( y' = 8x + 6 \) C. \[ y = \int_{0}^{100}{(8x + 6)dx} \] D. \( y' - 8x - 6 = 0 \) E. \( y'' = 8 \) F. \( y = 8x + 6 \) G. \( dz = 8x\,dx + 8y \) H. 12.23154687854 ### Detailed Explanation of Equations: - **Equation for Electric Current:** - **Choice A:** \( I = \frac{V}{R} \) - This is Ohm's Law, representing the relationship between current (I), voltage (V), and resistance (R). - **Equation for a Linear Curve:** - **Choice F:** \( y = 8x + 6 \) - This is the equation of a straight line in slope-intercept form, where 8 is the slope and 6 is the y-intercept. - **A Constant:** - **Choice H:** 12.23154687854 - This is a constant value. - **1st Order Differential Equation:** - **Choice B:** \( y' = 8x + 6 \) - This represents a first-order differential equation, where \( y' \) denotes the first derivative of y with respect to x. - **2nd Order Differential Equation:** - **Choice E:** \( y'' = 8 \) - This is a second-order differential equation, where \( y'' \) denotes the second derivative of y with respect to x. - **Ordinary Differential Equation (1st Order):** - **Choice D:** \(
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