General solution to a differential equation, Mathematics

The general solution to a differential equation is the most common form which the solution can take and does not take any initial conditions in account.

Illustration 5: y(t) = 3/4 + c/t2is the general solution to

2ty' + 4y = 3.

Solution: I'll leave this to you to check that such function is actually a solution to the specified differential equation. Actually, all solutions to that differential equation will be in that form.  It is one of the first differential equations which you will learn how to resolve and you will be capable to verify such function shortly for yourself.

Posted Date: 4/10/2013 3:06:50 AM | Location : United States

Related Discussions:- General solution to a differential equation, Assignment Help, Ask Question on General solution to a differential equation, Get Answer, Expert's Help, General solution to a differential equation Discussions

Write discussion on General solution to a differential equation
Your posts are moderated
Related Questions
The equation -2x^2-kx-2=0 has two different real soultions. find the set of possible values for k.

2.When investigating times required for drive-through service, the following results (in seconds) were obtained. Find the range, variance, and standard deviation for each of the tw

How can i get a better understanding of logistics without having a degree on logistics and knowledge of it? Simply, in a very basic form..

A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event,  both head and tail have appeared , and B be the event at most one tail i

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

The line 4x-3y=-12 is tangent at the point (-3,0) and the line 3x+4y=16 is tangent at the point (4,1). find the equation of the circle. solution) well you could first find the ra

Determine all possible solutions to the subsequent IVP. y' = y ? y(0) = 0 Solution : First, see that this differential equation does NOT satisfy the conditions of the th

Tied Rankings A slight adjustment to the formula is made if several students tie and have the similar ranking the adjustment is: (t 3 - t)/12 Whereas t = number of tied

Find out the roots of the following quadratic equation. 3x 2 + 7x = 0 Solution: Using Equation 6, one root is determined. x = 0 Using Equation 7, substitute the