In this section let me help you on differential algebraic equation. keep reading and leave your comments. An equation is the combination of two expressions separated by an equal sign. In the equation the both sides of the equal sign has the same value.
For example,
2 + 18 = 4 * 5
Types of Equations
Fundamentals and types of Equations are :
Transcendental Equations
If f(x) is a polynomial in x, then f(x) = 0 is an algebraic equation.
Example; x7 + 5x - 2 = 0.
If f(x) contains algebraic and non algebraic functions namely exponential, logarithmic, trigonometric and inverse trigonometric functions then f(x) = 0 is called transcendental equation.
Example; x + log x + sin x=0. this will also help us on second order differential equations
Transcendental equations may have no root, exactly one root or more than one root.
Algebraic Equations:
Fundamental theorem on Algebra.
Every algebraic equation of degree n ≥ 1 has a root real or complex.
keep reading may be in the next session let me help you on homogeneous differential equations
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