Integral Calculus> dy/dx=(x^2+y^2+1)/2xy...

dy/dx=(x^2+y^2+1)/2xy

jaisreenivasan , 11 Years ago

Grade 12

4 Answers

Yash Baheti

Hi,

This is a Homogeneous differential equation.
So put y=vx and solve, ie keeping v as avariable find dv/dx in terms of dy/dx and substitute also substitute the value of y in the expression. Upon simplification u will see that the v terms and x terms are segrigated by themselves.

Dont forget to do the back substitution, ie putting y instead of v.

Last Activity: 11 Years ago

swami iyer

No you’re wrong dude.. You can’t substitute y = vx because of that 1 in the numerator! God knows how you made it to IIT geez

Last Activity: 7 Years ago

swami iyer

Instead follow this method,

Substitute y^2 = u and solve, ie keeping u as a variable find du/dx in terms of dy/dx and substitute also substitute the value of y in the expression.

Last Activity: 7 Years ago