Orthogonal Trajectories | Lecture - 47 | Differential Equation | B.Sc. 2nd Year Maths

This Video contains the following Question -
00:00 Lecture Intro
00:45 Orthogonal Trajectories
05:02 Ex1- Find the orthogonal Trajectory of the family of curves y=〖ax〗^n.
10:32 Ex2- Find the orthogonal trajectory of the family of parabolas y^2=4ax , where ‘a’ is the variable parameter.
14:56 Ex3- Find the orthogonal trajectories of the family of rectangular hyperbolas xy=c^2.
17:45 Ex4- Find the orthogonal trajectories of the family of parabolas y^2=4a(x+a), where ‘a’ is the parameter.
23:44 Ex5- Find the orthogonal trajectories of the family of circles x^2+y^2=2ax, a being the parameter.
29:28 Ex6-Find the orthogonal trajectories of the family of curves
{x^2/(a^2+λ)}+{y^2/(b^2+λ)}=1
Where λ is the parameter.

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[AtifKhan-ejdz]

You really made it very clear. Good job. 👍

[tencenttencent]

Sir i really like you sir and your teaching matheod is very intresting

[parjapati]

Thnx sir for applauding this chapter for us....your teaching method is very nice....
And very very thnx mera best friend ko us na hi mujha y video share kri

[rishumeena]

Sir hum kbsa wait kr rha the next video ka 🙏🙏thank you so much sir🙏🙏aap bhut achha pdhate ho sach🙇🙇

[rubisingh]

Sir you teach very good so I prey to God you bonna be successful in future

[ramkrishnatiwari]

Sir ap bhut axa pdha rhe h plz continue rakhiyr

[arunbhaskar]

Aap bahut Axa Padate sir
Thank you so much sir

[menuyadav]

Sir second linear differential equations cover kro

[kpkrkr]

Sir constant C ko y ke Sath Lena compulsory hai Kya??? Jo Aapne ex 2 me Liya hai

[sompalsingh]

Sir aapne 1st paper nhi padhaya hai kya?

[Tanujoshi]

Sir maths third book ka link send kr do apne maths 3rd paper ki book nhi pdai h kya sir

[deevikshatyagi]

App orthogonal trajectory ke important question ki video bna do

[Varunbnna]

Last question m it should be x2-y2 instead of x2+y2