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Linear Equations - Resolving and identifying linear first order differential equations.
Separable Equations - Resolving and identifying separable first order differential equations. We will also start looking at determining the interval of validity by the solution to a differential equation.
Exact Equations - Resolving and identifying exact differential equations. We will do some more intervals of validity problems now as well.
Bernoulli Differential Equations- In this region we will notice how to solve the Bernoulli Differential Equation. This region will also introduce the concept of using a substitution to assist us resolve differential equations.
Substitutions- We will pick up where the last section left off and have a look at a couple of another substitution which can be used to resolve several differential equations which we couldn't otherwise resolve.
Intervals of Validity- Here we will provide an in-depth look at intervals of validity and uniqueness question and also an answer to the existence for first order differential equations.
Modeling with First Order Differential Equations- to model physical situations utilize the first order differential equations. The section will illustrate some extremely real applications of first order differential equations.
Equilibrium Solutions- We will see the autonomous differential equations and behavior of equilibrium solutions.
Euler's Method- In this region we'll consider a method for approximating solutions to differential equations.
How to Multiplying Monomials? To multiply monomials: Step 1: Multiply the coefficients. Step 2: Multiply the like variables by adding their exponents. Step 3: Multiply ans
Solve 2x^2 + 5x + 36
Example of division: Divide 738 by 83. Solution: Example: Divide 6409 by 28. Solution: Division could be verified through multiplying
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Design an automaton that accepts just only even numbers of 0s and even number of 1's. Ans: The needed automata that accepts even number of 0's and even number of 1's is specifi
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Hyperboloid of Two Sheets The equation which is given here is the equation of a hyperboloid of two sheets. - x 2 /a 2 - y 2 / b 2 + z 2 /c 2 = 1 Here is a diagram of
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Now we need to move onto something called function notation. Function notation will be utilized heavily throughout most of remaining section and so it is important to understand i
Initial Conditions and Boundary Conditions In many problems on integration, an initial condition (y = y 0 when x = 0) or a boundary condition (y = y
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