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What is the global solution of an ordinary differential equation?
The global solution of an ordinary differential equation (ODE) is a solution of which there are no extensions; i.e. you can't add a solution to the global solution to make it more general, the global solution is as general as it gets.
What is the general solution of a differential equation?
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
What algebra 2 problem equals 24?
What topics are included in "Algebra 2" may vary depending on the specific textbook. But in general, if you want an equation that has a certain solution, in this case 24, you can start with the equation:x = 24 Then you can do several operation on this equation, always doing the same on both sides, such as: * Add or subtract the same number on both sides * Multiply or divide both sides by the same number * Square both sides * Apply functions, such as trigonometric functions, inverses trigonometric functions, exponential functions, etc. In general, you can do this repeatedly.
When a variable appears in the denominator of one or more term of an equation?
It can. And does, for example, in the hyperbolic trigonometric functions. It can make the solution harder but there is no law that says that solutions must be easy!
How can you tell when an equation in one variable has infinitely many solutions or no solutions?
There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.
Why do you solve trigonometric equations?
Use trigonometric identities to simplify the equation so that you have a simple trigonometric term on one side of the equation and a simple value of the other. Then use the appropriate inverse trigonometric or arc function.
Are trigonometric equations and trigonometric identities are the same thing?
In a trigonometric equation, you can work to find a solution set which satisfy the given equation, so that you can move terms from one side to another in order to achieve it (or as we say we operate the same things to both sides). But in a trigonometric identity, you only can manipulate separately each side, until you can get or not the same thing to both sides, that is to conclude if the given identity is true or false.
What are solutions of trigonometric equations?
That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.
What is the global solution of an ordinary differential equation?
The global solution of an ordinary differential equation (ODE) is a solution of which there are no extensions; i.e. you can't add a solution to the global solution to make it more general, the global solution is as general as it gets.
What is an equation that contains a variable?
It is an equation. It could be an algebraic equation, or a trigonometric equation, a differential equation or whatever, but it is still an equation.
What is the general solution of a differential equation?
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
What algebra 2 problem equals 24?
What topics are included in "Algebra 2" may vary depending on the specific textbook. But in general, if you want an equation that has a certain solution, in this case 24, you can start with the equation:x = 24 Then you can do several operation on this equation, always doing the same on both sides, such as: * Add or subtract the same number on both sides * Multiply or divide both sides by the same number * Square both sides * Apply functions, such as trigonometric functions, inverses trigonometric functions, exponential functions, etc. In general, you can do this repeatedly.
When a variable appears in the denominator of one or more term of an equation?
It can. And does, for example, in the hyperbolic trigonometric functions. It can make the solution harder but there is no law that says that solutions must be easy!
How can you tell when an equation in one variable has infinitely many solutions or no solutions?
There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.
Sec2x equals 3?
Is a trigonometric equation which has infinitely many real solutions.
What is the solution to an equation?
a solution to an equation is the answer
How do I write an equation for a sequence that isn't linear or exponential?
A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)
