Homogeneous Equation:

When dy/dx is equal to the fraction the numerator and the denominator both are homogeneous functions of x and y of same degree then the differential equation is said to be homogeneous equation.

That is when dy/dx = f(x,y), where   f(km, ky) = f(x, y) then this differential equation is be homogeneous differential equation .

Method:  Put y =  vx

Example: Solve .

Solution:          (homogeneous) . Put y = vx

                     Integrate

                        C + lnx = - ln(1 -v²)

                         => lnkx + ln(1 -v²) =0 

                        => kx(1- v²) = 1 => k(x² - y²) = x .

Email based Homogeneous Equation Assignment Help -Homogeneous Equation Homework Help

We at www.expertsmind.com offer email based Homogeneous Equation assignment help - homework help and projects assistance from k-12 school level to university and college level and engineering and management studies. We provide finest service of Mathematics assignment help and Mathematic homework help. Our experts are helping students in their studies and they offer instantaneous tutoring assistance giving their best practiced knowledge and spreading their world class education services through e-Learning program.

Expertsmind's best education services

• Quality assignment-homework help assistance 24x7 hrs
• Best qualified tutor's network
• Time on delivery
• Quality assurance before delivery
• 100% originality and fresh work