Перейти к содержимому

(x^2+y^2)dx-2xydy=0 #HomogeneousDifferentialEquation L478 ‪@MathsPulseChinnaiahKalpana‬

Maths Pulse - Chinnaiah Kalpana

0:00 / 0:00

(x^2+y^2)dx-2xydy=0 #HomogeneousDifferentialEquation L478 ‪@MathsPulseChinnaiahKalpana‬

32 998 просмотров · 5 л. назад
Maths Pulse - Chinnaiah Kalpana
30,2 тыс. подписчиков
32 998 просмотров · 5 л. назад
@Maths Pulse - Chinnaiah Kalpana Hello, People! In this video, we have solved a differential equation which is homogeneous by putting y=vx. Please observe each and every step with patience to learn better. My hearty thanks for all the subscribers, supporters, viewers and well-wishers❤. Yes! I'm reading your uplifting comments... Thanks for all the love and support towards my journey...😊 With Love, Chinnaiah Kalpana🍁 Note: Homogeneous equation: A differential equation is said to be a homogeneous equation if it is of the form dy/dx = f(x,y)/g(x,y) where, both f(x,y) and g(x,y)are homogeneous functions of x and y of the same degree. f(x,y) and g(x,y) can be written as f(x,y)=x^α Φ(y/x) and g(x,y)=x^α Φ(y/x) given equation becomes, dy/dx = Φ(y/x)/Ψ(y/x) put y=vx then v+x(dv/dx)=dy/dx For more such videos👇    • Differential Equations- Engineering Mathem...   Stay tuned to 'Maths Pulse'. Get rid of 'Maths Phobia'. Have a happy learning! #differentialequation #homogeneous #homogeneousdifferentialequation #chinnaiahkalpana #mathspulse #engineeringmathematics #polytechnicmathematics #homogeneousdifferentialequationproble #class12maths #maths #math #differentialequations #calculus #calculusclass12