How do you solve a mixing problem?

How do you solve a mixing problem?

Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.

What makes a diff eq exact?

A first-order differential equation (of one variable) is called exact, or an exact differential, if it is the result of a simple differentiation. The equation P(x, y)y′ + Q(x, y) = 0, or in the equivalent alternate notation P(x, y)dy + Q(x, y)dx = 0, is exact if Px(x, y) = Qy(x, y).

What is the formula of mixture?

It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price. Mean Price: The cost of a unit quantity of the mixture is called the mean price. (Cheaper quantity) : (Dearer quantity) = (d – m) : (m – c).

How do you find the percentage of a mixture?

It is calculated as the mass of the component divided by the total mass of the mixture and then multiplied by 100 to get the percent. Usually, mass is expressed in grams, but any unit of measure is acceptable as long as you use the same units for both the component or solute mass and the total or solution mass.

What if the differential equation is not exact?

If the differential equation P (x, y) dx + Q (x, y) dy = 0 is not exact, it is possible to make it exact by multiplying using a relevant factor u(x, y) which is known as integrating factor for the given differential equation. Now check it whether the given differential equation is exact using testing for exactness.

What is differential equations with examples?

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x) Here “x” is an independent variable and “y” is a dependent variable. For example, dy/dx = 5x.