Bundle For Differential Equations Exam Questions with Correct Answers

Differential Equations Exam Questions and Answers What is a differential equation? - Answer-An equation which relates several quantities and their (1st, 2nd, 3rd, etc) derivatives y' = 0. What is the rate of change of y? What are the solution(s)? - Answer-Nothing. Y is a constant quantity. The...

Differential Equations Test with Complete Solutions 1st order linear ODE - Answer-Use Integrating factor (dy/dx + p(x)y = f(x)) 1st order nonlinear ODE check first - Answer-separable (dy/dx = 2x/(1+y) 1st order nonlinear ODE check second - Answer-exact (My dx + Nx dy = 0) 1st order nonl...

Differential Equations Exam Questions and Answers Graded A+ Basic steps in creating a model - Answer-1. State assumptions 2. Completely describe the variables and parameters used 3. Use assumptions to derive equations relating quantities 1st Order Equation - Answer-An equation for an unknow...

Differential Equations Study Questions and Answers What is a DE? - Answer-An equation containing the derivatives of one or more dependent variables, with respect to one or more independent variables. How are DEs classified? - Answer-By type, order, and linearity. What is the form of a "homo...

Differential Equations 2024 Test with Complete Solutions Differential Equation - Answer-Is an equation with a function and one or more of it's derivatives. The Order of the equation - Answer-Is the highest derivative occurring in the equation. First Order DE - Answer-Is one containing a firs...

Partial Differential Equations Exam Questions with Correct Answers What is the order of a differential equation? - Answer-The order of a DE is the order of the highest derivative that appears in the equation What is the degree of the differential equation? - Answer-The degree of the DE is the p...

Differential Equations 2024 Questions and Answers What are ODE (Ordinary Differential Equations) - Answer-An equation which is defined for functions with only one independent variable What is a linear differential equation? - Answer-A DE in which the unknown function is always linear How can...

Differential Equations 2024 Test with A Graded Solutions Seperable Differential Equation - Answer-(dy/dt)=g(t)h(y) Autonomous Differential Equation - Answer-(dy/dt)=h(y) Linear Differential Equation - Answer-(dy/dt)=a(t)y+b(t) Homogeneous Differential Equation - Answer-(dy/dt)=a(t)y ...