Class 12 maths exercise 12.5 solution with pdf
Homogeneous Differential Equation (1) Homogenous Function. A Function is said to be homogenous of the nth degree in x and y if it can be put in the form xnf[y/x] Alternatively, a function f (x,y) is said to be homogeneous of degree n if f(x,y) = n f(x,y) for any non zero constant. for example f(x,y) = (3x+2y) + x[3+2y/x] , is homogeneous function of degree 1. (2) Homogeneous Differential Equation. A differential equation in x and y is said to be a homogeneous differential equation if it can be put in the form dy/dx = f1(x,y)/f2(x,y) , where f1(x,y) and f2(x,y) are homogeneous functions of the same degree in x and y for example dy/dx = y2-x2 /2xy is a homogeneous equation since y2 - x2 and 2xy are both homogeneous function of degree 2 Exercise 12.5 complete solution in pdf download pdf and make study easy 1555