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How do you solve variables with $f(x,y)$ where we only take the derivative wrt one of the variables? I presume the other variable can be taken as fixed, but I don't know what changes we need to make to our usual formulas?

e.g. $$f_x(x,y) + f(x,y) = 1$$

Also, how would you use Maple to solve them? If I define an $ode$ and use dsolve, it says "required specification of the indeterminate function".

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    If you only take the derivative with respect to one variable, you can solve it as an ODE. Here, use an integrating factor $e^{x}$. – 2017-02-22

1 Answers 1

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In maple, you are suppose to use pdsolve to solve a pde not dsolve,

restart;
Eq1:= diff(f(x,y),x)+f(x,y)=1;
pdsolve(Eq1);

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