Session 2: Variable separable method using GeoGebra.

In this video we will talk about the very first method that one see when they learn first order linear differential equations.
Variable separable method help us to find solution of first order linear differential equation.
We will see how GeoGebra help us to find solution and also to graph the solution curves.

[@apurva15]

1. y^4 + x^4 = c
2. tan(pi/4 - x+y/2) + x = c
3. y = c(sin(2pix))^1/2

[@DrMathaholic]

Thanks Apurva!

[@377omkar]

Who like maths comment here 😁

[@DrMathaholic]

Bhai bhai..

[@utkarshsahu1741]

Sir can we ignore the modulus inside the log?

[@DrMathaholic]

Try to keep it..
Modulus help us to take whole real numbers into the domain.
If we don't write mod then we have to restrict x to positive reals..

[@gamerom9324]

Sir in 2 nd HW question my answer is coming tan(x+y) -sec(x+y) = x + c

[@gamerom9324]

Is this correct

[@DrMathaholic]

@@gamerom9324 I dont remember the answer but when I see other answers then it not matching. Pls check calculations once again, if u still getting the same answer then send me the pics, I will check personally.

[@prathmesh4894]

yes you are correct . other ans are just modifications

[@DrMathaholic]

@@prathmesh4894 👍 great

[@lonewolfYTS]

1. x⁴ + y⁴ =K
2. x + 2/(tan((x+y)/2)+1) = K
3. y = K*(sin(2*pi*x)**(1/2))

[@DrMathaholic]

Good work Rushikesh!!

[@hermionegranger3002]

Ans
1. y^4 -x^4 =c
2. -2/(tan(x+y)/2)+1)
3. y=( sin(2pix))^1/2 +c

[@DrMathaholic]

Thanks Hermione for posting the answer. First and third are correct.
One question--Where is the constant in second answer?

[@akashdhole9660]

@@DrMathaholic 1st answer I think it should be y^4 + x^4 = c., isn't it?

[@DrMathaholic]

Oh yes..it should be plus sign. My bad.
Thanks dude for correcting.