You should identify the constant from the question, here in the question it is given "all circles of radius a" .. so here there are different circles but all have a particular radius 'a' . Hence we take a constant. To give another example, say , if question says all planes which are p distance from origin. Here constant is p. (lx+my+nz=p represent such planes where l,m,n are variables and represents DC's of normals to such planes but p is constant and is the distance plane is from origin) I hope it's clear.
at 9.30 , I'm making a typo . Instead of y' it should have been (y')^2 .. if you are talking about that, that was a mistake .. But the next step is correct If that was not the doubt , can you mention the time ?
![Q13. Show that Ax^2 + By^2 = 1 is the solution of x[y(d2y/dx2) + (dy/dx)^2 ] = y(dy/dx)](http://i.ytimg.com/vi/9urYt9uj_r0/mqdefault.jpg)
![Q13. Show that Ax^2 + By^2 = 1 is the solution of x[y(d2y/dx2) + (dy/dx)^2 ] = y(dy/dx)](/img/tr.png)
sir why a is taken as a constant while h and k are taken as arbitrary constant. How will I know when i would be solving the question?
You should identify the constant from the question, here in the question it is given "all circles of radius a" .. so here there are different circles but all have a particular radius 'a' . Hence we take a constant.
To give another example, say , if question says all planes which are p distance from origin. Here constant is p. (lx+my+nz=p represent such planes where l,m,n are variables and represents DC's of normals to such planes but p is constant and is the distance plane is from origin)
I hope it's clear.
Also note h, k are variables here . Centre of the circle is changing . Only its radius is constant as per the question.
Thank that really helped me .
Ordinary and Partial Differential Equations - M. D. Raisinghania
thank you sooo much ! you got a new subscriber from Bangladesh
Thank you so much❤.... I was trying to find detailed solution and i found your video. Btw your explanation was really good
Thanks for the feedback ❤️
When you substituted number 3 into number 1 why did you write if differently
at 9.30 , I'm making a typo . Instead of y' it should have been (y')^2 .. if you are talking about that, that was a mistake .. But the next step is correct
If that was not the doubt , can you mention the time ?
Arey angrej hindi me hi bol leta...
Sorry, I don't know Hindi.
Unnecessary opinion