Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Given that
2t2 y′′ + ty′ - 3 y = 0
Show that this given solution are form a fundamental set of solutions for the differential equation?
Solution
The two solutions from that illustration are
y1(t) = t-1 y2(t) = t3/2
Let's calculate the Wronskian of these two solutions.
Therefore, the Wronskian will never be zero. Memorizes that we can't plug t = 0 in the Wronskian. It would be a problem in determining the constants in the general solution, except that we as well can't plug t = 0 in the solution either and thus this isn't the problem which it might appear to be.
So, as the Wronskian isn't zero for any t the two solutions form a fundamental set of solutions and the general solution is as
y(t) = c1t-1+ c2 t3/2as we claimed in that illustration.
To this point we're determined a set of solutions then we've claimed which they are actually a fundamental set of solutions. Certainly, you can now verify all those claims which we've made, though this does bring up a question.
Define regression. The main reason of curve fitting is to estimate one of the variables (the dependent variable) from the other (the independent variable). The procedure of est
tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its given 1 - tan2x*tan7x= 0 implies tan9x = infinity since tan9x = (3tan3x - tan^3(3x))/(1 - 3tan^2 (3x)) = infinity implies
Three Dimensional Spaces In this section we will start taking a much more detailed look at 3-D space or R 3 ). This is a major topic for mathematics as a good portion of Calc
Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix. It is, We
What is polygon? A polygon is a shape with three or more sides, in which each side touches another only at its endpoints. Some polygons that you are probably already familiar w
A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre
Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)
equivalent decimal for 25%
What is a way to solve indices
The Limit : In the earlier section we looked at some problems & in both problems we had a function (slope in the tangent problem case & average rate of change in the rate of chan
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd