Question

Write the example homogeneous differention equation

Answer 1

A first‐order differential equation is said to be homogeneous if M( x,y) and N( x,y) are both homogeneous functions of the same degree. ... The substitution y = xu (and therefore dy = xdu + udx) transforms a homogeneous equation into a separable one. Example 7: Solve the equation ( x 2 – y 2) dx + xy dy = 0.

Answer 2

Answer:

A first‐order differential equation is said to behomogeneous if M( x,y) and N( x,y) are bothhomogeneous functions of the same degree. ... The substitution y = xu (and therefore dy = xdu + udx) transforms a homogeneous equation into a separable one. Example 7: Solve the equation ( x 2 – y 2) dx + xy dy = 0.