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Solve the linear equation:
The equation relating the pressure that is denoted by P, to the force, F & the area, A, over which the force is applied is P =F/A. Solve this equation for F, in terms of P and A.
Step 1. Axioms 1 and 2 do not help solve the problem, so go to Step 2.
Step 2. Using Axiom 3, multiply both sides of the equation by A.
P (A) = F/A (A)
F = PA
Step 3. Check the root.
PA/A = P
The root checks.
The addition or subtraction of the similar quantity from both sides of an equation may be accomplished through transposing a quantity from one side of the equation to another. Transposing is a shortened way of applying the addition/subtraction axioms. Any term may be transposed/transferred from one side of an equation to the other if its sign is changed. Therefore, in the equation 5x + 4 = 7, the 4 can be transposed to the other side of the equation through changing its sign. The output is 5x = 7 - 4 or 5x = 3. This corresponds to applying the subtraction axiom, Axiom 2 and subtracting 4 from both sides of the equation.
As noted, Euler's method is little used in practice, as there are much better ways of solving initial value problems. By better, we mean, "able to achieve a result of the same prec
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