EXACT DIFFERENTIAL EQUATION EXAMPLE WITH SOLUTION NOTE

Note related to the solutions of 'Exact Differential Equations'  it is useful for B.sc,M.sc Iit jam, csir net and other competative exams related to the mathematics.

A first order differential equation is one containing a firs but no higher derivative of the unknown function. For virtually every such equation encountered in practice, the general solution will contain one arbitrary constant, that is, one parameter, so a first order IVP will contain one initial condition. There is no general method that solves every first order equation, but there are methods to solve particular types.

FUNDAMENTALS OF MATRIX COMPUTATIONS BY DAVID S WATKINS

Once a differential equation M dx + N dy = 0 is determined to be exact, the only task remaining is to find the function f ( x, y) such that f x = M and f y = N. The method is simple: Integrate M with respect to x, integrate N with respect to y, and then “merge” the two resulting expressions to construct the desired function f.

IMPORTANT QUESTION FOR IIT JAM MATHEMATICS

NOTE: jigssolanki.in does not own this note, neither created nor scanned. We just providing the link already available on internet. If any way it violates the law or has any issues then kindly mail us: jigssolanki1995@gmail.com or Contact Us for this(Link Removal) issue.