I want to solve this implicit derivative

I want to solve this implicit derivative X^2+y^2=100 using MATLAB ? I want complete solution can any one please help me in this . I am very thankful

[Walter Roberson]

Where is the derivative? What is the function? For example is it

x.^2 + diff(y(x),x,x) == 100

?

[Muhammad Daniyal]

Its not working btw

[John D'Errico]

What implicit derivative? That looks like no more than the equation of a circle. Do you just want to compute dy/dX? What is not working? By the way, answers is not here to do your homework (as this clearly is), so that you want a complete solution is something we should not be giving you anyway.

So, when you say it is not working, what have you tried?

Answer 1

[Walter Roberson]

dsolve('x^2+D2y=100')

[Karan Gill]

Please don't use string input to "dsolve". See my answer below.

Answer 2

[Karan Gill]

Use "dsolve" : https://www.mathworks.com/help/symbolic/dsolve.html

syms y(x)
D2y = diff(y,x,2);
eqn = x^2 + D2y == 100;
sol = dsolve(eqn)

sol =
C2 + (x*(- x^3 + 600*x + C1))/12

Karan

[Walter Roberson]

The syntax for initial conditions for derivatives is messy if you do not use the string syntax and you are trying to avoid temporary variables. I could not get it to work properly last night -- as in I could get it to not complain about the syntax, but the condition did not work. ... though my tests seem to be working now...

[Karan Gill]

It certainly is more verbose than string input, agreed.

[Walter Roberson]

I just encountered a case that works for the string version but fails for the expression version due to a toolbox bug. :(

(Karan, if you are interested, see case 02340431, just filed.)

[Karan Gill]

Thanks for reporting the bug, as always. We are looking into it.