# solving the differential equation

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mukesh bisht el 15 de Dic. de 2021
Comentada: Walter Roberson el 15 de Dic. de 2021
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 el 15 de Dic. de 2021
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 el 15 de Dic. de 2021
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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