isotope_3@hotmail.com hi freindzz, m having a gr8 trouble in solving these questions..actually m not dat gud in Integration( I thought i was)...newayz help me in solving or atleast gimme the hint how to solve it.. Solve the Exact Differential Equations: 1) ( 1 + lnx + y/x) dx + ( cosx + xcosy)dy = 0 2) {( 1/x + 1/(x^2 )- y/[(x^2)+(y^2)]}dx + { y(e^2) + x /[( x^2)+(y^2)]}dy = 0 Can any expert of differential equations solve these difficult questions??... I know the methology its: 1st condition > ∂M/∂y=∂N/∂x 2nd condition > ∂f/∂x=M , ∂f/∂y=N but cant solve these question...It is a challenge for all out there..if u can do it!. waiting for a response, susi
hi i dont think the differential equations are exact A exact differential equations is of the form M dx+N dy = 0 is exact iff 1. there exists a function U(x,y) such that Mdx+Ndy= dU 2. the working condition for an exact differential equation is ∂M/∂y=∂N/∂x ie if condition 2 is satisfied then the differentila equation is said to be exact. therefore going by this neither differential equation turns out to be exact. the general solution to a exact diff equation is given by ∫Mdx (taking terms of y as constants)+ ∫(terms of N that are independent of x)dy=c