1. Classify the following equation as an ordinary differential equation or a par

Question

1. Classify the following equation as an ordinary differential equation or a partial differential equation, give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear. d/dt = k ( 4-x)(1-x),where k is a constant. 2. Determine whether the given function is a solution to the given differential equation. 3. Solve: dy/dx = sec x ( sec x + tan x ) 4. Solve: 5. The velocity at time t of a particle moving along a straight line is proportional to the fourth power of its position. Write a differential equation that fits the physical description.

Explanation / Answer

1) It is an ordinary differential equation. It is a first order differential equation. Independent variable is t, and dependent variable is x. It is a linear ordinary differential equation.

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