solving the differential equation

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mukesh bisht
mukesh bisht 2021-12-15
评论： Walter Roberson 2021-12-15
Hi.
I have a differential equation of a function f(x,y) wrt "x". I can solve this equation using the "dsolve" and obtain the solution. Now I again want to differentiate the solution obtained wrt to other variable "y". Can anyone please help me in writing the code for differentiating the solution thus obtained. Here is the code attached:
syms f(x) y
ode = diff(f,x) == -(2/x)*f + (4*x^3*y^2 + 2*x*y + 6*x)/x^2;
sol = dsolve(ode);
%-------------------------------------------------%
val =
C3/x^2 + (x^2*(y + 3) + x^4*y^2)/x^2
In this code, I want to differentiate the "sol" wrt variable "y". Note that the constant "C3" in the solution is a function of "x & y".
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Walter Roberson
Walter Roberson 2021-12-15
Ran in:
syms f(x,y)
ode = diff(f,x) + diff(f,y) + (2/x)*f == (4*x^3*y^2 + 2*x*y + 6*x)/x^2 + 2*x^2*y + 1
ode(x, y) = 
Walter Roberson
Walter Roberson 2021-12-15
Ran in:
syms f(x) y C(y)
ode = diff(f,x) == -(2/x)*f + (4*x^3*y^2 + 2*x*y + 6*x)/x^2;
sol = simplify(expand((dsolve(ode))))
sol = 
vars = symvar(sol);
soly = subs(sol, vars(1), C)
soly = 
Dsoly = diff(soly,y)
Dsoly = 

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