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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.
a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p To prove: (b+c-a)/a; (a+c-b)/b; (a+b-c)/c are in A.P or (b+c)/a; (a+c)/b; (a+b)/c are in A.P or 1/a; 1
Q. Graphs of Sin x and Cos x ? Ans. The sine and cosine functions are related to the path that an object might take around a circle. Suppose a dolphin was swimming over
Consider a discrete-time system that is characterized by the following difference equation: Y(n) = x(n)cos? 0 n, where ? 0 is constant value, x(n)are the discrete-time input
If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.
y 2 = t 2 - 3 is the actual implicit solution to y'= t/y, y(2) = -1. At such point I will ask that you trust me that it is actually a solution to the differential equation. You w
A digital filter has zero at z=a and poles at z=b andz=c, where a, b, c are the real constants. Determine the transfer function and the frequency response function of the filter an
Correlation and Regression Correlation CORRELATION is an important statistical concept which refers to association or interrelationship among variables. The reasons of
Euler's Method Up to this point practically all differential equations which we've been presented along with could be solved. The problem along with this is which the exceptio
Recognizes the absolute extrema & relative extrema for the given function. f ( x ) = x 3 on [-2, 2] Solution :
Finding Absolute Extrema of f(x) on [a,b] 0. Confirm that the function is continuous on the interval [a,b]. 1. Determine all critical points of f(x) which are in the inte
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