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under this section were going to go back and revisit the concept of modeling only now were going to look at this in light of the fact as we now
in this case we will require deriving a new formula for variation of parameters for systems the derivation now will be much simpler than the when
undetermined coefficientsthe way of undetermined coefficients for systems is pretty much the same to the second order differential equation case the
we now require addressing nonhomogeneous systems in brief both of the methods which we looked at back in the second order differential equations
1 if the coefficient of friction between a box and the bed of a truck is m what is the maximum acceleration with which the truck can climb a hill
a jar contains 54 marbles each of which is blue green or white the probability of selecting a blue marble at random from the jar is 13 and the
in the adjoining figure abcd is a square with sides of length 6 units points p amp q are the mid points of the sides bc amp cd respectively if a
it is the last case that we need to take a look at throughout this section we will look at solutions to the systemx a xhere the eigenvalues of the
a number x is selected from the numbers 123 and then a second number y is randomly selected from the numbers 149 what is the
a number x is chosen at random from the numbers -3 -2 -1 0 1 2 3 what is the probability that x lt
five cards - the ten jack queen king and ace are well shuffled with their face downwards one card is then picked up at randomi what is the
its now time to do solving systems of differential equations weve noticed that solutions to the systemx a xit will be the form ofx h elthere l and
find the probability of having 53 sundays ini a leap
infinite interval - improper integralsin this type of integral one or both of the limits that is upper limit and lower limit of integration are
if 65 of the populations have black eyes 25 have brown eyes and the remaining have blue eyes what is the probability that a person selected at random
a box contains 12 balls out of which x are black if one ball is drawn at random from the box what is the probability that it will be a black ball if
evaluate the subsequent integralint tan xsec4 x sec4 x dxsolutionthis kind of integral approximately falls into the form given in 3c it is a
a bag contains 5 red balls and some blue balls if the probability of drawing a blue ball is double that of a red ball determine the number of blue
steps for integration strategy1 simplify the integrand if possiblethis step is vital in the integration process several integrals can be taken from
why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a foot ball matchans equally likely
a die is thrown repeatedly until a six comes up what is the sample space for this experiment hint a 6 b12345ans the sample space is a ba bba bbba
now that weve found some of the fundamentals out of the way for systems of differential equations its time to start thinking about how to solve a
a card is drawn from a well shuffled deck of cardsi what are the odds in favour of getting spade ans 13 31 310 125ii what are the odds against
write the subsequent 2nd order differential equation as a system of first order linear differential equations2 yprimeprime - 5 yprime y 0 y 3
in the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain