Differential equation is a type of mathematical equation for some unknown functions of one variable or several different variables related to different values of a particular function and derivatives in different orders. Differential equations solutions presently play an important role in the field of engineering, economics and physics. Many students find it tricky to solve differential equations solutions on their own and thus, we provide these students with systematic differential equations help.
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Our team is here to help you! In the above example, we can check the solution by substituting - 3 for x in the original equation. The symmetric property of equality is also helpful in the solution of equations.
This enables us to interchange the members of an equation whenever we please without having to be concerned with any changes of sign. There may be several different ways to apply the addition property above.
Sometimes one method is better than another, and in some cases, the symmetric property of equality is also helpful. In this case, we get. The solution to this equation is 4. Also, note that if we divide each member of the equation by 3, we obtain the equations. In general, we have the following property, which is sometimes called the division property. If both members of an equation are divided by the same nonzero quantity, the resulting equation is equivalent to the original equation.
In solving equations, we use the above property to produce equivalent equations in which the variable has a coefficient of 1. In the next example, we use the addition-subtraction property and the division property to solve an equation. The solution to this equation is Also, note that if we multiply each member of the equation by 4, we obtain the equations.
In general, we have the following property, which is sometimes called the multiplication property. If both members of an equation are multiplied by the same nonzero quantity, the resulting equation Is equivalent to the original equation.
In solving equations, we use the above property to produce equivalent equations that are free of fractions. Now we know all the techniques needed to solve most first-degree equations.
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