DE AHHHA

Which is the condition of linear ordinary differential equations?

• The dependent variable y and its derivatives occur to the first degree only

• No products of y and/or any of its derivatives appear in the equation

• No transcendental functions of y and/or its derivatives occur

• all of the above

These are equations involving two or more independent variables.

• Partial Differential Equations

• Differential Function

• Differential Equations

• Ordinary Differential Equations

Which is not a method for solving differential equations of order one?

• Separation of Variables

• Homogeneous DE

• Exact DE

• Linear Exact DE

This equation contains only one independent variable and one or more of its derivatives with respect to the

variable.

• Partial Differential Equation

• Ordinary Differential Equation

• First Ordered Differential Equation

• Differential Equation

It is a function or a set of functions free of derivatives or differentials expressing the functional relationship

between the dependent and independent variables.

• General Solution

• Differential Equation

• Solution to a DE

• Particular Solution

What is separation of variables?

• It's when the variables are not connected together.

• It's when you move all the variables to one side of the equation and keep your constants on the other side.

• It's when you move the dependent variable to one side of the equation and the independent variable to the

  other side of the equation.

• It's when one variable is in the numerator and the other variable in the denominator.

What is the case of the given DE with coefficients linear in two variables, (𝑥 + 𝑦 + 1)𝑑𝑥 + (2𝑥 + 2𝑦 + 1)𝑑𝑦 = 0?

• perpendicular lines

• parallel lines

• intersecting lines

• orthogonal lines

What is the case of the given DE with coefficients linear in two variables, (𝑥 − 2𝑦 − 1)𝑑𝑥 − (2𝑥 − 4𝑦 − 5)𝑑𝑦 =

0?

• perpendicular lines

• parallel lines

• intersecting lines

• orthogonal lines

What is the case of the given DE with coefficients linear in two variables, (𝑦 − 2)𝑑𝑥 − (𝑥 − 𝑦 − 1)𝑑𝑦 = 0?

• perpendicular lines

• parallel lines

• intersecting lines

• orthogonal lines

The highest power of the highest ordered derivative.

• Degree

• Order

• Type

• Coefficient